Review/Condensation of Tertium Organum by P.D. Ouspensky. This review/condensation by Brian Redman. Distribute this if you like. Part 1 -- Chapters 1 - 3. Chapter 1 ========= Ouspensky starts by saying we must determine what we know. "Something must be accepted as known; otherwise we shall be constantly forced to define one unknown by means of another." (page 1). Thus the position taken by nineteenth century positivist philosophy -- that "Matter is that in which the changes called motion take place: and motion is those changes which take place in matter." (page 2) -- is circular and defines nothing. Ouspensky next points out that for the average man there are two obvious facts: 1) The existence of the world in which he lives; and 2) the exist- ence of consciousness in himself. Note that Ouspensky is not saying necessarily that these two facts can be proved, only that for the average man these are facts. "Space with its extension; time, with the idea of before, now and after; quantity mass materiality; number, equality, inequality; identity and difference; cause and effect; ether, atoms, electrons, energy, life, death -- all that is laid down as the basis of our usual knowledge, all these, are unknown quantities." (page 2) Ouspensky's "two obvious facts," the objective world and the inner, or subjective world, seem to us to be different in one important way. "It seems to us that if we close our eyes, the objective world will continue to exist....[and if] our subjective world were to disappear, the objective world would go on existing." (page 3). We perceive the objective, external world as existing in time and in space. Yet our cognition of the subjective and the objective world may be false. "We know nothing about things separately from ourselves; and we have no means of verifying the correctness or incorrectness of our cognition of the objective world *apart from sensations.*" (page 3). Ouspensky next invokes Kant who (according to Ouspensky) "...established that our sensations must have causes in the external world, but that we are unable, and shall never be able, to perceive these causes by sensory means." (page 4). "...everything perceived by the senses is perceived in time and space....outside of time and space we can perceive nothing through the senses." (page 4). "The very fact of perceiving things ....through the senses *imposes* on them the conditions of time and space." (page 4). Ouspensky thinks that we use space and time as a framework with which we organize reality into convenient categories and slots. "We have got to divide things somehow, and we divide them according to categories of space and time." (page 5). "We do not know whether, for a differently constituted organism, our world would not present an entirely different picture." (page 6). "When we think in concepts, we already think outside of time and space." (page 6). For example, if we think not of a particular table, but rather of the idea of a table, we are thinking outside of time and space. Due to our reliance on our senses "....our experimental knowledge is not a hazy representation of the real world; it is a very vivid representation of an entirely unreal world." (pages 6-7). According to Ouspensky: Deep down a physicist may feel the real worthlessness of all these new and old scientific theories, but he is afraid to be left hanging in mid-air with nothing but a negation. He has no system to take the place of the one whose falsity he already feels....lacking the courage to admit openly that he no longer believes in anything, he continues to wear all these contradictory theories, like some official uniform, for the sole reason that this uniform is connected with rights and privileges... "The systematization of that which we do not know may provide more for correct knowledge of the world and ourselves than the systematization of what, in the opinion of 'exact science,' we do know. (page 10). Chapter 2 ========= Ouspensky begins this chapter by recommending two books by the English writer, C.H. Hinton: A New Era of Thought and The Fourth Dimension. Hinton declares that Space is an instrument of the mind; it is through Space "that we apprehend what is." (page 12). Hinton thinks that we should develop our "space sense." "....if our intuition of space is the means by which we apprehend, then it follows that there may be different kinds of intuitions of space....This intuition of space must be coloured....by the conditions (of the mental activity) of the being which uses it." Geometers such as Gauss and Lobatchewski have shown us that we are quite capable of conceiving different kinds of space. (page 12). Hinton suggests that "....it might be possible for there to be beings living in a world such that they would conceive a space of four dimensions." (page 13). Ouspensky then asks, "What is space?"; he then answers that space is "... ...the form of the universe or the form of matter in the universe." page 15). We say that our space is three dimensional; we say that space can be measured in three independent directions only -- length, breadth, and height. By in- dependent direction we mean a line lying at right angles to another line. "But we say that space is infinite. Therefore....we must assume that space has an infinite number of dimensions." (page 15) "There are different kinds of existence....A house exists, and the idea of good and evil exists....A house is a physical fact, an idea is a metaphysical fact." (page 16). Physical facts and metaphysical facts both exist, but they exist differently. Physical things have an outer aspect and an inner concept. There is the book and there is the contents of the book; there is the coin and there is the purchasing power of the coin. We sometimes assume that the contents of the book, the purchasing power of the coin, etcetera, have no real existence -- yet perhaps this inner content merely does not exist in our Space. Perhaps it exists in a higher space. Ouspensky next quotes an article by a Mr. E. Douglas Fawcett: "Matter (like force) does not present any difficulty at all. We know all about it, for the very good reason that we have invented it....'Matter' is a creation of our conceiving; a mere way of thinking about sensible objects; a mental substitute for concrete but unmanageably complex facts...." (page 18). Matter and Force are only concepts "...just as abstract as....the purchasing value of a coin, as the contents of a book." (page 19). So the question remains: Is Space a property of the world or is Space a property of our cognition of the world? Chapter 3 ========= By examining the "....difference that exists between a point and a line, between a line and a surface, between a surface and a solid, i.e. ....the difference of phenomena which are possible in a point, a line, a surface, we shall realize how many things, new and incomprehensible for us, lie in the fourth dimension." (page 21). By studying the mutual relations between objects of one, two, and three dimensions, we can improve our grasp of four dimension- al space. "We begin to learn what it can be as compared with our three dimen- sional space, and what it cannot be." (page 21). A line is the trace of the movement of a point. A surface is the trace of the movement of a line. A solid is the trace of the movement of a surface. "...is it not possible to regard a 'four dimensional body' as the trace of the movement of a three-dimensional body?" (page 22). According to Ouspensky: A point, moving in space and leaving the trace of its motion in the form of a line, moves in a direction not contained in itself, for in a point there is no direction. A line, moving in space and leaving the trace of its motion in the form of a surface, moves in a direction not contained in itself, because should it move in a direction contained in itself, it would always remain a line. A surface, moving in space and leaving the trace of its motion in the form of a solid, also moves in a direction not contained in itself.....In order to leave a trace of its motion in the form of a 'solid' or a three-dimensional figure, it must move away from itself, move in a direction which does not exist within it. By analogy with all this, a solid, in order to leave the trace of its motion in the form of a four-dimensional figure, must also move in a direction not contained in itself. (page 22). "We regard a line as an infinite number of points; a surface as an infinite number of lines; a solid as an infinite number of surfaces.....it is possible to assume that a four-dimensional body should be regarded as an infinite number of three-dimensional bodies." (page 22). Because a line is limited by points, a surface is limited by lines, and a solid is limited by surfaces, it is possible that four-dimensional space is limited by three-dimensional bodies. It is possible that "...four-dimensional space is the distance between a number of solids, separating yet at the same time binding into some in- comprehensible whole, those solids which to us appear to be separate from one another." (page 23). Borrowing an idea from the theosophical writer, C. W. Leadbeater: If we touch the surface of a table with our five fingertips of one hand, there will be then on the surface of the table only five circles, and on _this surface_ it is impossible to have any idea either of the hand or of the man to whom the hand belongs. (page 24). Review/Condensation of Tertium Organum by P.D. Ouspensky. This review/condensation by Brian Redman. Distribute this if you like. Part 2 -- Chapters 4 - 6. Chapter 4 ========= A four-dimensional body may be regarded as the trace of the movement of a three-dimensional body in a direction not contained in it. Time is the direction not contained in the three-dimensional body. Every movement in space is accompanied by movement in time. In addition, even without moving in space, everything that exists moves in time. Any motion or absence of motion takes place in time. "Kant regards time in the same way as he regards space, as a purely subjective form of our perception. He says that, conditioned as we are by the properties of our perceiving apparatus, we _create time_ as a convenience for perception of the outside world." (pages 25-26). For us the idea of time is essentially connected with the idea of cause and effect; without time there is no cause and effect. We consider the past as _no longer_ existing. The future does not exist for us either; it is _not yet_. By the present we mean the moment of transition from the future into the past, in other words, the moment of the transition of a phenomenon from one non-existence into another. But in actual fact this brief moment is a fiction. It has no dimension. In a sense, we can say that the present does not exist. Our five sense organs are merely _feelers_ by means of which we touch the world around us. We regard as really existing only the circle which our feelers can grasp at a given moment. We think that beyond this circle is non- existence. The past and the future cannot be _non-existent_, for, if they do not exist, the present does not exist either. They must exist together _somewhere_, only we do not see them. The present, as opposed to the past and the future, is the most unreal of all realities. Our concepts of the past and of the present, though vague, are uniform. But as regards the future there is a variety of views. The two main theories are of a predestined future and of a free future. The dispute between the theory of a predestined future and the theory of a free future is an endless dispute. Both theories are too literal; each excludes the other. Both theories say: 'Either this or that.' At every given moment all the future of the world is predestined and existing, but it is predestined conditionally. The condition is that no _new factor_ must appear. This new factor can only come in from the side of consciousness and the will resulting from it. In addition, our poor understanding of the relation between the present and the past hinders us from having a right understanding of the relation of the present to the future. Our relation to the past and to the future is more complex than we realize. The past, like the future, is not fixed. In the past lies not only what was, but also =what could have been=. In the same way, in the future lies not only what will be =but also all that may be=. =Time= contains two ideas: the idea of a certain space unknown to us (the fourth dimension), and the idea of movement in this space. Yet motion in this space would require a =new= time. If we imagine this new extension of space (i.e. the fourth dimension) and the =possibility of movement along this new extension=, then immediately time confronts us once more declaring itself just as unexplained as before. But in actual fact 'movement in this space' (i.e. the fourth dimension) does not exist. Our ideas of motion are evolved by us from our sensation of time, or that is to say, our time sense. Our imperfect time sense gives to us the sensation of motion; it creates an illusion of motion. There is no motion but only extension in a direction we are unable to imagine. We shall not be able to understand the fourth dimension as long as we do not understand the fifth dimension. Imagine time as being a line extending from an infinite future into an infinite past. =Eternity= is not an infinite extension of time, but a line perpendicular to time. The line of time proceeds in the order of sequence of events according to their causal interdependence - first the cause, then the effect: before, now, after. The line of eternity proceeds in a direction perpendicular to this line. Our perception seems to be chained to some kind of plane above which it is unable to rise. These =conditions= or this =plane= we call matter. Perception rising above the plane of consciousness on which it usually lives would see simultaneously phenomena which for ordinary perception are separated by =periods of time=. These would be phenomena which ordinary consciousness =never= sees together as cause and effect. This rising perception will be unable to separate before, now, and after; for it, =now= will expand. Our time sense is in reality a nebulous sense of space; with our time sense we feel dimly those new characteristics of space which transcend the sphere of three dimensions. And to reiterate, our sense of motion is derived partly from our sense of time. Moreover, within our inner life there is also constant movement. This movement in us creates the illusion of movement around us. Ouspensky next quotes Hinton on 'the law of surfaces': "This relationship of a surface to a solid or of a solid....to a higher solid, is one which we often meet in nature. A surface is nothing more nor less than the relation between two things. Two bodies touch each other. The surface is the relation- ship of one to the other." (page 35). Our space may well be really a surface, or in other words, the place of contact of two spaces of a higher order. [Now please hang on to your hats. Ouspensky is about to propose the existence of =ether= (a.k.a. =aether=).] Considering a surface as the medium lying between two bodies, said medium would transmit vibrations from one body to another. And no matter how much of a vacuum one might try to create between the one body and the other, this surface would still remain. Thus, this medium, or surface, would be unlike any other type of matter, in that it could exist within an apparent vacuum. This unusual type of matter is ether. The ether is the surface of contact between two higher dimensional bodies. [Note: I had difficulty here. This paragraph is my paraphrasing of what Ouspensky says at the end of chapter 4. It is possible that I may have misunderstood, or not grasped entirely, what Ouspensky was trying to say. For more explanation, see the last two pages of chapter 4.] Ether is not a substance but only a 'surface', the 'boundary' of =something=. Chapter 5 ========= Four dimensional space is the infinite repetition of three dimensional space, just as a line is the infinite repetition of a point. Every three dimensional body moves in time and leaves the trace of its motion in the form of a time body. Because of the properties of our perceiving apparatus, we never see or sense this fourth-dimensional time body; we see only its section, and this we call a three dimensional body. To narrow this down a bit, let us consider the physical body of a man. The physical body is inconstant; particles come and go; it is in a perpetual state of interchange with its surroundings. After seven years, it is an entirely different body. Yet =something= always remains from birth to death; its aspect may change, but it remains the same. This is the LINGA SHARIRA of Eastern philosophy. If we try to form a mental picture of a man, stretched out in time from birth to death, with all the features of childhood, maturity, and old age intertwined -- this will be LINGA SHARIRA. In this world of three dimensions, nothing is constant. Everything is variable because every moment a thing is no longer what it was before. We never see the body of LINGA SHARIRA, we always see only its parts, and they appear to us variable. But if we look more closely we shall see that this is an illusion. It is three-dimensional things which are unreal and variable. And they cannot be real, because in actual fact they do not exist. Only four dimensional bodies are real. Comparing the third and the fourth dimensions, it is necessary to understand that here it is not a question of =two= spatially different domains, but of two modes of perception of the same =one= world of one space. Further, it is necessary to understand that all the objects known to us exist not only in the categories in which we perceive them, but in an infinite number of others in which we do not know how to sense them. Another approach to understanding all of this is to seek everything in the surrounding world that is =not= included in the framework of three dimensions; everything, therefore, which we are accustomed to regard as non-existent. If variability is the sign of the three-dimensional world, we must seek for that which is constant. Moreover, we are accustomed to regard as really existing only that which can be measured in length, breadth, and height. But measurability is too crude a criterion of existence, because measurability itself is too conditioned a concept. It is necessary to widen the boundaries of the =really existing=, for many things that cannot be measured still have a real existence -- more real indeed than many things that can be measured. Chapter 6 ========= Imagine a one-dimensional world. It will be a line. For the beings living in this one dimensional world, only two points will exist -- ahead and behind. If we suppose that the line on which the one-dimensional being lives passes through various objects of =our= world, then in all these objects the one- dimensional being will see only one point. The intersection of these objects with his one dimensional world will be seen by the one-dimensional being only as the appearance, the more or less prolonged existence, and the disappearance of a point. This appearance, existence, and disappearance of a point will be a =phenomenon=. Then, if we suppose that the one-dimensional being possesses memory, he will call all the points he has seen =phenomena= and he will refer them all to time. The point which =was= is a phenomena no longer existing, and the point which may appear tomorrow is a phenomenon =not yet= existing. The whole of =our= space, with the exception of one line, will be called time. And the one-dimensional being will say that he got the idea of time from the observation of motion; i.e. from the appearance and the disappearance of points. Points will be regarded as a time phenomena, i.e. as coming into being at that moment when they become visible and ceasing to exist at that moment when they become invisible. Next, let us consider a two-dimensional world and a being living on a plane. On this plane there will be beings in the shape of points, lines, and flat geometrical figures. These beings will not sense the plane on which they live as being a plane. Approaching some figure, a being on this plane will say that something has appeared. Gradually however, this being will come to the conclusion that the figures that he encounters exist =on something= or =in something=. So he may decide to call his two-dimensional plane 'ether.' He will call the various lines 'matter.' Thus, being able to sense only the lines, if something happening outside his plane reaches his consciousness, he will be apt to deny it. When sensing the various lines and flat geometrical figures, the plane being will not sense any angles. It is easy to verify this in practice. If we hold on a level with our eyes two matches placed on a horizontal surface at an angle to one another, we will see one line. To see the angle we must =look from above=. The two dimensional being will regard the angle as a strange property of the line which at times appears and at other times does not appear. In other words he will refer the angle to time; he will regard the angle as a change in the state of the 'solid' -- or as motion. Imagine a plane being faced with one of the angles of a square. From a distance, approaching the outside of this square, this angle and the two lines (or rays) proceeding out from it will appear to be a line. As he comes nearer to this 'line', the angle itself will appear to remain in its place. But the two lines proceeding out from this angle will =recede backwards=. The plane being will say that the line moves. Three dimensional bodies intersecting with his plane will not exist for the two dimensional being. He will be able to sense only their surfaces of contact. But if these surfaces move (because of movement in the three dimen- sional bodies intersecting with the plane) the two dimensional being will think that the =cause= of this motion lies only within these surfaces themselves. The center of a circle would be inaccessible to a two-dimensional plane being. Moreover, the two-dimensional being would be incapable of even understanding about a center. In the rest of this chapter, Ouspensky gives a number of situations and how he thinks a two-dimensional being would perceive them. Basically he seeks to show that to a two-dimensional plane being, it would be more or less impossible to imagine anything like the three-dimensional world. For example, a tree top intersecting his world would seem to be a lot of separate branches; the idea that these branches were all part of the same tree would be incomprehensible to this two-dimensional being. Review/Condensation of (ch. 7-8) Tertium Organum by P.D. Ouspensky This review/condensation by Brian Redman Distribute freely if you like Chapter 7 ========= What really are the dimensions of space and why are there three of them? For every mathematical expression there is a corresponding relation of certain realities. It should always be possible to substitute some reality for the algebraical 'a,' 'b,' and 'c.' Usually, dimensions are designated by powers. For example, if a line is called 'a,' then a square is called 'a^2' (i.e. 'a' squared) and a cube is called 'a^3' (i.e. 'a' cubed). Yet the designation of dimensions by powers is purely conventional. All powers of a number may be represented on a line. If 'a' equals 5, then 'a^2' equals 25, and 'a^3' equals 125; all of which numbers can be represented on a line. Each of the three dimensions may be regarded as the first, the second, the third, or vice versa. If the three dimensions =really= corresponded to the three powers, we should have the right to say that only three powers refer to geometry, and that all the other relations between higher powers, beginning from the fourth, lie beyond geometry. However geometry is an artificial construction designed for the purpose of solving problems based on conditional data. Geometric axioms are the laws of a given =surface= (i.e. plane, sphere, etc.). But what is a surface? Students of non-Euclidean geometry could not bring themselves to relinquish the surface. They could not bring themselves to abandon the 'surface' completely and imagine that a line need not necessarily be on a surface. The examination of possible properties of lines lying outside our space, their angles, and the relations of these lines and angles to the lines, angles, surfaces and solids of our geometry constitutes the subject of metageometry. Metageometry regards the sphere of three dimensions as a =section= of higher space. Chapter 8 ========= The basic unit of our perception is a =sensation=. A sensation is an elementary change in the state of our inner life, produced, =or so it appears to us=, either by some change in the state of the outer world in relation to our inner life, or by a change in our inner life in relation to the outer world. It is sufficient to define sensation as an elementary change in the state of the inner life. The sensations experienced by us leave a certain trace in our memory. And gradually, out of these memories of sensations there are formed =representations=. Representations are, so to speak, group memories of sensations. Representations can be classified according to either (1) the character of the sensations or (2) the time of receiving the sensations. For example, sensations of yellow color linked with other sensations of yellow color would be according to (1) the character of the sensations. An example of (2) would be a particular tree: i.e. the color of the leaves, their smell, the sound of the wind in the branches, all combine to form the representation 'this tree.' Memories of representations give rise to concepts. Out of the various representations of particular trees would emerge the concept of a tree in general. The formation of concepts leads to the formation of words and the appearance of speech. On the lower levels of intelligence certain sensations may be expressed by certain sounds. In the area of representations, the 'words' that correspond to each particular representation consist, as it were, of proper names. There still are no generic nouns to match the representations. The appearance of words of =general meaning= indicates the appearance of concepts in the mind. The =word= (i.e. the concept) is the =algebraic sign= of a thing. Ideas are broader concepts. Ideas embrace groups of dissimilar representations, or even groups of concepts. An idea is a complex or an abstract concept. The content of emotional experiences can never be wholly fitted into concepts or ideas and, therefore, can never be correctly and exactly ex- pressed in words. The interpretation of emotional experiences and emotional understanding is the aim of art. Thus, in art we find the first experiments in a language of the future. As stated, our current mental apparatus contains sensations, representa- tions, and concepts. If we were able to alter our mental apparatus and observe that the world around us changed with these alterations, this would prove to us the dependence of the properties of space on the properties of our mind. Kant's idea that space with its properties is the form of our sense- perception could be proved experimentally if we were able to ascertain that for a being possessing nothing but sensations the world is one dimensional; for a being possessing sensations and representations it is two-dimensional; and for a being possessing, in addition to concepts and ideas, also higher forms of perception, the world is four-dimensional. Beings whose mental life is below our own in this required sense (i.e. not capable of concepts and ideas) exist. They are animals. We distinguish in living beings 1) reflex actions, 2) instinctive actions, 3) rational actions, and 4) automatic actions. Reflex actions are simply responses by motion, reactions to external irritations, always occuring in the same manner (e.g. the eye blinks if some object quickly approaches it). Instinctive actions are expedient, yet are performed without any conscious- ness of choice; they are connected with the pleasure/pain principle. By rational action is meant an action known to the acting subject =before it is performed=; whose cause and purpose the acter can point out =before it has taken place=. By automatic actions are meant actions which have been rational for a given subject but have since become customary and unconscious through frequent repetition. Reflexes, instinctive actions, and 'rational' actions may be regarded as reflected, i.e. as not independent. They come not from man himself but from the external world. A man is merely a transmitting or transforming station of forces; all his actions =belonging to these three categories= are produced by impressions coming from the external world. In these three kinds of actions man is actually an automaton. Only the highest category of actions, conscious actions (which we confuse with rational actions) depend not only on the impressions coming from the external world, but on something else besides. The capacity for conscious actions is very rarely met with and only very few people have it. These people may be defined as the =higher type of man=. All the actions of animals can be explained without assuming the existence in them of concepts, reasoning, and mental conclusions. If we could represent to ourselves the =logic= of the animal, we might understand the conditional and relative character of our whole idea of the world. Our own usual logic can be brought down to the simple scheme formulated by Aristotle published by his students under the general title of ORGANON ('Instrument' [of thought]): 'A' is 'A' 'A' is not 'not-A' Everything is either 'A' or 'not-A' This logic is sufficient for observation, but not for experiment. Experiment takes place in time, whereas Aristotle's formulae do not take time into account. Francis Bacon remedied the aforementioned shortcoming in his treatise NOVUM ORGANUM ('New Instrument' [of thought]). Bacon's formulation may be reduced to the following: That which was 'A', will be 'A' That which was 'not-A', will be 'not-A' Everything was and will be either 'A' or 'not-A' If we were able to represent to ourselves the 'logic' of an animal, we would understand its relationship to the external world. Our chief mistake as regards the inner world of an animal lies in our ascribing to it our own logic. We think that =there is only one logic=, that our logic is something absolute, something existing outside us and apart from us. The first difference between our logic and that of an animal is that the latter is not =general=. It is a particular logic in every case, for every separate representation. For animals there exists no classification according to common properties. Generally speaking, we recognize objects by their similarity; an animal must recognize them by their differences. Having once seen an object, we refer it to a certain class, variety, and species, attach it to one or another concept and connect it in our mind with one or another 'word', i.e. with an algebraic sign. An animal has no concepts, it has no mental algebra with the help of which we think. It must know =a given object= and remember it with all its characteristics and peculiar- ities. It is clear from this that an animal's memory is more burdened than ours; its mind is much more occupied. The logic of an animal, if we attempt to express it in formulae similar to those of Aristotle and Bacon, would be as follows: The animal will understand the formula 'A' is 'A'. But it will not understand the formula 'A' is not 'not-A', for 'not-A' is a =concept=. The animal will say: This is this. That is that. This is not that. or This man is this man. That man is that man. This man is not that man. Even among the animals themselves, psychological differences are great. A goose will put its foot on a piece of food, pull at the piece of food with its beak, and it will never occur to the goose to lift its foot off the piece of food so as to be able to get at it. Thus, its mental processes are vague; it has a very imperfect knowledge of its own body and does not properly distinguish it from other objects. A dog lying on a rug that has become rucked up and uncomfortable to lie on will understand that the discomfort is =outside him=. And the dog will worry the rug with its teeth, twisting it and dragging it here and there. But he will not be able to straighten the rug by himself. With a cat such a question could never even arise. A cat knows its body perfectly well, but everything =outside itself= it takes as something given. To =correct= the outside world, to accomodate it to its own comfort, would never occur to a cat. Therefore, if there were something uncomfortable about the rug, a cat would turn and twist =itself= many times until it became comfortable; or it would go and settle down in another place. A monkey would spread out the rug quite easily. Thus we have four beings all quite different. Yet for us all this is =an animal=. We mix together things that are quite different. Moreover it would be incorrect to assert that the differences mentioned are 'evolutionary stages.' If one is to speak in terms of evolution it would be more correct to say that these are animals of different evolutions, just as, in all probability, not one but several evolutions go on in mankind. Review/Condensation of ch. 9 - 10 of P.D. Ouspensky's Tertium Organum This review/condensation by Brian Redman Distribute freely if you like Chapter 9 ========= In previous chapters we have shown the difference that exists between the mentality of man and that of animals. For us, our perception as regards the external aspect and form of the world is extremely incorrect. We know that the world consists of solids, but we always see and touch =only surfaces=. We never see or touch a solid. A solid is a concept. Behind the surfaces we =think= the solid. But we can never =represent= a solid to ourselves; we cannot represent a cube or a sphere from all sides at once. We represent solids =in perspective=. Yet the world does not exist =in perspective=. Still, we are unable to see the world in any other way; in perceiving the world, we distort it with our eye. A child tries to touch everything he sees -- the nose of his mother, the moon, reflected light on the wall. He learns only gradually to distinguish between the near and the far =by sight alone=. Our eye distorts the external world in a certain way to enable us to determine the position of objects relatively to ourselves. In practice, we are constantly introducing corrections into what we see. These corrections are made by reasoning, which is impossible without concepts. For example, consider the strange behavior of a cornfield as seen through the window of a railroad car. As the train moves, you 'see' the cornfield run up to your window, stop, turn about slowly, and run to one side. Or consider the sun which still continues, in all languages, to rise and set. This is how it all appears to us. How many more illusions would we see if we were unable to mentally un- ravel the causes which produce them, and were to regard everything as existing exactly as we see it. =I see it, therefore it is.= This assertion is the main source of all illusions. The right way to put it would be: =I see it, therefore it is not so.= We can say this, but animals cannot. For them whatever they see -- is. Animals live in a two-dimensional world; their universe has the appearance and properties of a surface. But =we= know that the world is not a surface, whereas animals cannot know this. Seeing only surfaces, animals can represent to themselves only two dimensions. The third dimension can only be =thought=, i.e. this dimension must be a concept. But animals have no concepts. How do animals orientate themselves in our three-dimensional world? Many properties of objects which we remember as the =general= properties of species and varieties have to be remembered by animals as the =individual= properties of objects. An animal knows, say, two roads as two entirely separate phenomena having nothing in common. =We= say that both the one and the other are roads, one leading to one place, the other to another. For the animal the two roads have =nothing in common=. It remembers all the sequence of emotional qualities connected with the first road and the second road and so remembers both roads with their turnings, ditches, fences, and so on. Thus the memory of the definite properties of objects which they have seen helps animals to orientate in the world of phenomena. Animals see two dimensions. They constantly sense the third dimension but do not see it. They sense it as something =transient=, as we sense =time=. Consider the following example: Suppose that a large disc is placed before an animal and, beside it, a large sphere of the same diameter. Facing them at a certain dis- tance, the animal will see two circles. If it starts walking round them, the animal will notice that the sphere remains a circle but the disc gradually narrows and becomes a narrow strip. As the animal continues to move round it, the strip begins to widen and gradually becomes again a circle. Because of the way in which an animal must remember the =individual= properties of objects, the following may be said: For an animal a =new sun= rises every morning, just as for us a =new morning= comes every day, a =new spring= every year. The motion of objects which, for us, is not illusory but real, such as the motion of a rotating wheel or a moving car and so on, must, for an animal, differ greatly from the motion it sees in the objects which are motionless for us. Such motion (i.e. a rotating wheel, a moving car, etc.) must appear to the animal to be spontaneous, =alive=. If an animal senses and measures =as motion= that which is not motion, it is clear that it cannot apply the same measure to that which is and that which is not motion. A kitten plays with a ball or with its own tail because the ball or the tail =runs away from it=. Now let us summarize our deductions. Man possesses sensations, representations, and concepts; higher animals possess sensations and representations; lower animals possess only sensations. Because they have no concepts, animals cannot comprehend the third dimension and see the world only as a surface. Seeing the world as a surface, animals see on this surface a great many 'movements' that do not exist for us. For example, an angle must appear to them as motion. Thus, in all its relations to the world an animal is analogous to the unreal two-dimensional plane being which we have supposed lived on a plane. So we can say that we have established the following: that with a certain limitation of the mental apparatus which perceives the external world, for a subject possessing such an apparatus (e.g. a dog, a cat, etcetera) the whole aspect and all the properties of the world must change. In other words we have established that the three-dimensional extension of the world depends for us on the properties of our mental apparatus; or, that the world's three-dimensionality is not its own property, but merely the property of =our= perception of the world. If all this is so, it is clear that we have really proved the dependence of space on =space-sense=. And, since we have proved the existence of a space-sense =lower= than ours, we have also proved the =possibility= of a space-sense =higher= than ours. If we were to acquire a =fourth unit= of thinking, simultaneously with this there would appear for us in the surrounding world a =fourth character- istic=. The multi-dimensionality of space is far from being an hypothesis; it is a =fact= and implies the unreality of everything three-dimensional. Chapter 10 ========== That which is =time= for a one-dimensional being, becomes =space= for a two-dimensional being. The =time= of the two-dimensional being becomes =space= for a three-dimensional being. Recall how for the being moving forward on a line, the space in front of it is regarded by that being as =the future=. Likewise, the movement of an angle as perceived by the two-dimensional being would be seen as a characteristic property of the angle by the three- dimensional being. Our idea of time actually contains =two ideas= -- the idea of a certain space and the idea of movement in that space. Instead of the idea of time having arisen from the observation of motion existing in nature, the actual sensation of motion and the idea of motion have arisen from the 'time-sense' we possess, which is nothing but an imperfect =space-sense=. Every being feels as space all that is embraced by his space-sense; everything else is referred to time. In other words, everything =imperfectly felt= is referred to time. Every being feels as space that which, by means of his space-sense, he can =represent to himself= as being outside himself in forms. SPACE-SENSE IS THE FACULTY OF REPRESENTATION IN FORMS. Previously, we have established that a higher animal (a horse, a cat, a dog) must perceive three-dimensional motionless angles as moving, i.e. as time-phenomena. The question arises: May not =we= also perceive as movements, i.e. as time-phenomena, the four-dimensional angles? Maybe our consciousness, incapable of grasping these 'things' by means of sense organs and of re- presenting them as they are, builds up the illusion of motion. Maybe our consciousness =imagines= that something moves outside it, i.e. that it is the 'things' that move. Our relationship to time is that time gradually comes as though arising =out of nothing=, and then disappears again =into nothing=. We perceive as sensations and project into the external world as phenomena the motionless angles of the fourth dimension. The life of a man is like a complex circle. It always begins at one point (birth) and always ends at one point (death). We have every right to suppose that it is =one and the same point=. What is a biological phenomenon, the phenomenon of life? A living organism contains =something= undefinable, which distinguishes 'living matter' from dead matter. We know of this =something= only through its functions. Of these functions, the chief one lacking in a dead organism is =capacity of re- production=. A living organism multiplies endlessly, absorbing and subjugating dead matter. If we take each individual life as a four-dimensional circle, this will explain to us why each circle inevitably disappears from our space. This happens because a =circle= inevitably ends at the point where it had begun. And so the 'life' of an individual being, having begun at birth, must end at death, which is the return to the starting point. But during its passage through our space, the circle emits certain lines which, by connecting with others, produce new circles. In reality all this happens quite differently; nothing is born and nothing dies; but this is how it appears to us, because we only see the sections of things. Actually, =the circle of life= is only a section of =something=, and this =something= undoubtedly exists before birth and continues to exist after death. Life phenomena are very similar to phenomena of motion, as they appear to a two-dimensional being; therefore they may be 'motion' in the fourth dimension. Recall that we have seen that the two-dimensional being will regard as movements of bodies the three-dimensional properties of motionless solids; and as phenomena of life the actual movements of bodies. Thus, it is possible to presume that those phenomena which we call =phenomena of life= are motion in higher space. Phenomena which we call mechanical motion are =phenomena of life= in a space lower than ours, whereas in a higher space they are simply properties of motionless bodies. The two-dimensional being needs =time= for the explanation of the simplest phenomena such as an angle. We do not need time to explain such phenomena, but we need it to explain phenomena of motion. In a still higher space our phenomena of motion will probably be seen as properties of motionless bodies. In this higher space, birth, growth, reproduction, and death will be regarded as phenomena of motion. Thus we see how expansion of consciousness makes the idea of time recede. For a one-dimensional being all the characteristics of the 2-D, 3-D, 4-D, and still higher space lie in time -- all this is =time=. For a two-dimensional being time includes characteristics of 3-D, 4-D, and still higher space. For a three-dimensional being such as man, time includes characteristics of 4-D and higher space. Thus, as consciousness and forms of perception rise and expand, the characteristics of space increase and those of time decrease. In other words, the growth of space-sense proceeds at the expense of time- sense. Or it can be said that time-sense is an imperfect space-sense. A very great power of imagination is needed to escape, even for a brief moment, from the limits of =our= representations and to see the world mentally in other categories. What is 'man' outside time and space? It would be the whole of mankind, man as a 'species,' but at the same time possessing the characteristics, attributes and peculiarities of =all= individual men; all fused into one indivisible being of man. The idea of such a 'great being' inspired the artist or artists who created the =Sphinx=. When we travel in a train and trees rush past our window, we know that this motion is only =apparent=, that the trees are motionless and the illusion of their motion is created by =our own motion=. As in this case, so also in general in relation to all =motion= in the material world -- while recognizing this motion as illusory, we must ask whether the illusion of this motion is not created by some motion inside our consciousness. Everything said about a new understanding of time relations is bound to be very obscure. This is so because our language is entirely unadapted to a =spatial expression of time concepts=. The expression of these relations, new for us, requires some quite new, different forms -- a language without verbs. We can speak of 'time' only by hints. The true essence of it is =inexpressible= for us. We must never forget this inexpressibility. =This is the sign of truth=, the sign of reality. That which can be expressed cannot be real. All systems speaking about the relation of the human soul to time -- all the ideas of LIFE AFTER DEATH, THEORIES OF REINCARNATION, OF THE TRANS- MIGRATION OF SOULS, all these are symbols, striving to transmit relations which cannot be expressed =directly= owing to the poverty and the weakness of our language. Review/Condensation of ch. 11 - 13 of P.D. Ouspensky's Tertium Organum This review/condensation by Brian Redman Distribute freely if you like. Chapter 11 ========== In December 1911 the Second Mendeleev Convention was opened by a paper read by Professor N. A. Oumoff under the title: "The Characteristic Features and Problems of Contemporary Natural-scientific Thought." Ouspensky had a talk with this same Professor Oumoff in January of 1912. In this chapter, Ouspensky quotes extensively from Oumoff's paper and offers us his analysis of this same paper. [All of the material which follows, *when contained within double quotes*, is directly quoted from Oumoff's paper of December 1911.] "Let us remember the profession of faith of the natural scientist: ....To know the architecture of the world and, in this knowledge, to find a basis for creative foresight....This foresight inspires confidence that natural science will not fail to continue the great and responsible work of creating, in the midst of old nature, a new nature." "The need for stability in daily life and the brevity of personal experience as compared with the evolution of the earth, lead men to faith, and create the mirage of the stability of the surrounding order of things....The creators of natural science do not share this tranquil point of view." "At the present time, the constellations in the sky of our science have changed, and a new star has shone forth, having no equal in brilliance." "Persistent scientific investigation has expanded the volume of the knowable to dimensions which were inconceivable even a short while ago." "The new that has been discovered provides a sufficient number of images for the construction of the world, but they destroy its old architecture.... and can only be incorporated in a new order, the free lines of which extend far beyond the limits not only of the old external world, but also beyond the fundamental forms of our thinking." "I have to lead you to the summits from which open up perspectives which fundamentally re-form our idea of the world." "The ascent toward [these summits], amid the ruins of classical physics, presents considerable difficulties." "The axioms of mechanics [classical Newtonian mechanics] are but fragments, and making use of them is equivalent to judging about the content of a whole chapter by means of a single sentence." In this new, post Newton world, "....Matter has disappeared....In the place of the customary, material world, there takes shape before us the vastly different electro-magnetic world." "But even the recognition of the electro-magnetic world has not disposed of many insoluble problems and difficulties; the necessity of a unifying system was felt." The deductions of Lorentz, made in 1909 and referring mainly to electro- optical phenomena, gave impetus to the publication by Albert Einstein of this new unifying principle, the *principle of relativity*. "We are approaching the summit of modern physics: it is occupied by the principle of relativity, the expression of which is so simple that its all- important significance is not immediately evident. It says: the laws of phenomena in a system of bodies, for an observer connected with it, appear to be the same whether the system is at rest or is moving uniformly and rectilinearly." "It follows hence that, by the aid of phenomena taking place in a system of bodies with which he is connected, an observer is unable to discover whether this system possesses a uniform progressive motion or not." "Thus, no phenomenon taking place on earth enables us to discern its progressive motion in space." "The principle of relativity includes in itself the observing intellect, which is a circumstance of the greatest importance. The intellect is connected with a complex physical instrument -- the nervous system. Consequently, this principle gives indications concerning things which take place in moving bodies, not only in relation to chemical and physical phenomena, but also in relation to phenomena of life, and therefore also to the quest of man." "All spatial measurements involve time. We cannot define the geometrical form of a solid moving in relation to us; we always define its kinematic form. Therefore our spatial measurements actually take place....in a four- dimensional manifold." "When the cult of a new god is born, his word is not always clearly understood; the true meaning becomes revealed in time. I think that the same is true also as regards the principle of relativity." "Matter represents a highly improbable event in the universe. This event [matter] came into being because improbability does not mean impossibility." "We are present at the funeral of old physics," says Professor Oumoff. The new physics will be the physics which does not contain *motion*, i.e. in which there is no dualism of matter and vacuum. By taking the universe as *thought* and *consciousness*, we become free of the idea of vacuum. [Thus ends Ouspensky's references to Professor Oumoff and his ideas. I wish to point out that the preceding synopsis has been filtered through my own imperfect understanding of higher physics. In other words, I have tried to select those items which seemed to *me* to be the special highlights of what Ouspensky had extracted from Professor Oumoff's original paper. Anyone seeking amplification of the ideas expressed by either author is referred to their original works.] Chapter 12 ========== We distinguish three kinds of phenomena according to our method of perception and the form of their transition into other phenomena: *physical phenomena* (i.e. physics and chemistry), *phenomena of life* (i.e. biology), and *psychological phenomena* (e.g. thoughts, feelings). We perceive physical phenomena by means of our sense organs or by means of instruments. Physics also recognizes the existence of phenomena which have never been observed either by sense organs or by instruments. Phenomena of life are not observed as such. Certain *groups of sensations* make us presume the presence of phenomena of life behind the groups of physical phenomena. A sign of the presence of phenomena of life is the capacity of organs to reproduce themselves. Psychological phenomena -- feelings and thoughts -- we know in ourselves by direct sensation, *subjectively*. We deduce their existence in others by analogy with ourselves; on the grounds of their manifestation in actions, and on the grounds of what we learn through communication by means of speech. Physical phenomena pass one into another completely. Heat may be transformed into light; pressure, into motion, and so on. *But physical phenomena do not pass into phenomena of life*. By no combination of physical conditions can science create life. In the same way, physical, chemical, and mechanical phenomena cannot, by themselves, produce psychological phenomena. Were it otherwise, a rotating wheel, in the course of a certain period of time, would *generate an idea*. We see therefore that phenomena of motion are fundamentally different from the phenomena of life and consciousness. Phenomena of life pass into other phenomena of life, multiply in them infinitely and *transform themselves into physical phenomena*. Psychological phenomena are experienced directly and, having enormous potential force, pass into physical phenomena and into manifestations of life. Positivist philosophy asserts that phenomena of life and psychological phenomena arise from one cause *which lies within the sphere of physical studies*. Seriously analysing this assertion, it is impossible to avoid seeing that it is completely arbitrary and unfounded. Within the scope of our being and observation, physical phenomena never produce phenomena of life and consciousness. Therefore we are *more* justified in assuming that phenomena of life and phenomena of consciousness contain something which is absent in physical phenomena. Phenomena of life and phenomena of consciousness cannot be measured by us at all. It is only the physical phenomena that we can assume to be measurable, though even that is very problematic. At times, an insignificant amount of physical force can set free an enormous amount of physical energy. But all the amount of physical force we can gather together will not set free a single drop of life energy necessary for the independent existence of a microscopic living organism. The force contained in *living organisms* is capable of liberating infinitely great quantities of energy. Concerning the amount of latent energy contained in the *phenomena of consciousness* (i.e. thoughts, feelings, desires) we see that the potentiality is still more immeasurable, still more limitless. An idea, a feeling or a desire can release boundless quantities of energy, create infinite series of phenomena. Each thought of a poet contains enormous potential force -- infinitely subtle, imponderable, and potent. The further a given phenomena is removed from the visible and the tangible -- from the physical -- the further it is from matter, the more it contains of hidden force, the greater the number of phenomena it can produce and involve, the greater the amount of energy it can liberate, and the less it is dependent on time. What do phenomena represent, taken by themselves, independently of our perception and feeling of them? A phenomena is known to the extent that it is an *irritation*, i.e. to the extent that it causes a sensation. The positivist philosophy, that mechanical motion or electro-magnetic energy lies at the root of all phenomena, is only an hypothesis based on a totally artificial and arbitrary assumption that the world exists in time and space. If we find that the conditions of time and space are only properties of our sense perception, we absolutely abolish any possibility of the hypothesis of 'energy' as the foundation of everything; because energy requires time and space. In reality, we know nothing about the *causes of phenomena*. Can we, by studying the *phenomena*, arrive at an understanding of the thing in itself? Kant said definitely: *No*, in studying the phenomena we do not even come *nearer* to the understanding of a thing in itself. If we wish to come nearer to understanding things in themselves, we should seek an entirely new method, a way completely different from the one followed by positivist science which studies events or phenomena. Chapter 13 ========== There are visible and hidden causes of phenomena, there are visible and hidden effects. In the matter of studying the *action* of nature positivist methods go very far, as is proven by all the innumerable achievements of modern technical sciences. Positivism is very good when it seeks an answer to the question *how* something operates in given conditions. But when it attempts to go beyond its definite conditions (time, space and causation), or begins to assert that outside the given conditions nothing exists, it trespasses on alien territory. In relation to nature a positivist scientist is in the same position as a savage in a library. For the savage a book is a *thing* of a certain size and weight; he will never understand a book by its appearance, and *the content of the book* will remain for him the *unfathomable noumenon*. But if a man *knows* of the existence of the *noumenon* of life -- if he knows that a mysterious meaning is hidden under visible phenomena, it is possible that he will get to the essence of the thing. Thus it is necessary to understand the *idea* of the inner content. The scientist who finds tablets with hieroglyphs in an unknown language, deciphers and reads them after a great deal of work. And in order to read them he needs one thing: he must know that these signs *represent writing*. Every cipher can be read -- *but one must know that it is a cipher*. There can be no greater mistake than to regard the world as *divided* into phenomena and noumena -- to take phenomena and noumena as separate from one another, existing independently one from another and as capable of being perceived apart from one another. The division of phenomena and noumena exists only in our perception. The 'phenomenal world' is merely our incorrect representation of the world. As Karl du Prel has said, *the world beyond is only this world strangely perceived*. It would be more correct to say that *this world is only the world beyond strangely perceived*. Just as it is impossible for a savage to come nearer to understanding the nature of a watch by studying the phenomenal aspect of it, i.e. number of wheels, number of teeth in each wheel, so in the case of a positivist scientist studying the external, *manifesting* side of life, its secret RAISON d'ETRE and the purpose of separate manifestations will remain forever hidden. Two-dimensional perception exists not only on a plane. Materialistic thought tries to apply it to real life. As a result, curious absurdities arise. One of such results is 'economic man' -- quite clearly a two-dimensional plane being which moves in two directions -- those of production and of consumption. Positivist science affirms that by studying phenomena we gradually approach noumena. This science regards the universe as a whirl of mechanical motion or as a field of manifestation of electro-magnetic energy. Positivism asserts that the phenomena of life and consciousness are merely the functions of physical phenomena and are no more than a certain complex combination of the latter. If this were indeed true it would have been proven long ago. All that is needed is to obtain *life* or *consciousness* by mechanical means. The truth is that the infinitely greater potentiality of phenomena of life and mental processes as compared with physical phenomena points to exactly the opposite. Positivist theories admit the possibility of explaining the *higher* by means of the *lower*, they admit the possibility of explaining the invisible by means of the visible. But as was pointed out in the beginning, this is an attempt to explain one unknown by means of another unknown. The 'lower' (matter and motion) by means of which the positivist theory attempts to explain the 'higher' (life and thought) *is itself unknown*. Since thought can evoke and release physical energy, whereas motion can never evoke or release thought (a rotating wheel can never evoke thought), it follows that we must strive to define the lower by means of the higher. Since the invisible, such as the contents of a book or the purpose of a watch, defines the visible, we must also strive to understand not the visible, but the invisible. Starting from the false assumption of the *mechanical* character of the noumenal aspect of nature, positivist science makes yet another mistake in examining the law of cause and effect or the law of function -- namely it mistakes what is cause for what is effect. The positivist view studies the visible world or the phenomena of the visible world, refusing to admit that causes not contained in this world could have penetrated into it or that phenomena of this world could have functions outside it. If we take into consideration the phenomena of life and thought, we are forced to admit that the chain of phenomena very quickly passes from a purely physical sequence into a biological sequence. We must admit too that in the reverse transition into the physical sequence from the biological and the psychological spheres, actions proceed precisely from those sides which are hidden from us, i.e. that the cause of the visible is the invisible. We are bound to admit that it is impossible to consider chains or sequences solely in the world of physical phenomena. To be more concrete, physical phenomena, in becoming the object of sensations of sight, hearing, touch, smell, provoke physiological phenomena and then psychological phenomena. And phenomena of consciousness are accompanied by physiological phenomena which in turn gives rise to a series of physical phenomena. Again, we cannot consider chains or sequences solely in the world of physical phenomena. Since events, even the most distant from one another in time, *are in contact with the fourth dimension*, this means that in reality they take place simultaneously, as cause and effect. Today's events were yesterday's ideas and feelings, and tomorrow's events lie today in some person's suffering or dreams. The world of physical phenomena represents a section of another world, which also exists *here* and the events of which take place *here*, but invisibly to us. Each thing has an infinite variety of meanings, and to know all these meanings is impossible. In other words, 'truth' as we understand it, i.e. *the finite definition*, is possible only in a finite series of phenomena. In an *infinite* series it is bound, somewhere, to become its own opposite. This means that *every knowledge* is conditional. We can never embrace *all the meanings* of any one thing. *All that is highest* in the understanding, to which we may come, of the essence of a given phenomena, from another still higher point of view will *again* have a different meaning. **And there is no end to it!** Side by side with our view of things, another view is possible -- a view as it were from another world, from *'over there'* -- but 'over there' signifies not another place, but another method of perception. Review/Condensation of Tertium Organum by P.D. Ouspensky (ch. 14 - 16) This review/condensation by Brian Redman Distribute freely if you like Chapter 14 ========== At times we dimly feel in things the difference resulting from their functions; in other words, their *real* difference. Only positivism is convinced that a stone is a stone and nothing more. But any uneducated person can tell you that a stone from the wall of a church and a stone from the wall of a prison are different things. Objects identical as regards the material of which they consist, but different as regards their functions, are *really different*. We regard the chemical composition of a thing as its *most real* attribute, whereas real attributes should be sought in the functions of a thing. Wishing to understand the *noumenal world*, we must seek a *hidden meaning* in everything. At present we are too deeply rooted in the positivist method with its tendency to seek in everything a *visible* cause and a *visible* effect. A poet understands that the mast of a ship, a gallows and a cross *are made of different wood*. He understands the difference between a stone from the wall of a church and a stone from the wall of a prison. He hears *the voice of the silence*, understands the psychological difference of silences, realizes that *silence may be different*. The difference between the 'hangman', the 'sailor' and the 'saint' is not an accidental difference of position, status and heredity, as materialism endeavours to persuade us, but a deep and unbridgeable difference, such as exists between murder, labor and prayer, belonging to entirely different worlds. The representatives of these worlds can appear to us similar men only because we actually see not them but merely their shadows. All art consists in understanding and representing these elusive differences. Art sees more and further than we do. Art is already a *beginning of vision*. It sees much more than the most perfect apparatus. Chapter 15 ========== There is no side of life which does not reveal to us an infinity of the new and the unexpected if we approach it with the *knowledge* that it is not exhausted by its visible side. In Hindu mythology Love and Death are the two faces of *one deity*. Strange as it may seem, *the face of death* has had a greater attraction for the mystical imagination of men, than *the face of love*. The problem of love is usually accepted in modern philosophies of life as something given, something already understood and known. In reality, love is for us as great a mystery as death -- yet for some reason we notice it less forcibly. We have evolved a series of stereotyped views on love, and we meekly accept one or another of these stereotyped views. Love is a *cosmic phenomenon*, in which people, mankind, are merely accidental; a cosmic phenomenon as little concerned with either the lives or the souls of men as the sun is concerned in shining so that, by its light, men may go about their trivial affairs and use it for their own ends. Love, in relation to our life, is a Deity. Both positivist and spiritual morality equally admit only one possible result of love -- children, the propagation of species. But this objective result, which may or may not happen, is in any case only the result of the external, objective side of love. For science, which studies life as if it were apart from life, the purpose of love consists in the continuation of life. But if we regard love from this standpoint, we shall have to admit that there is *more of this force than is necessary*. Where, then, does the main part of the force go? If only a negligible fraction of energy goes towards the creation of the future *by means of birth*, the remaining part must also go towards the creation of the future, but by other means. The superfluous energy is passed into other forms of energy; is passed into instincts, into the power of ideas, into creative force on different planes of life. Thus, what appears as a collateral function of love, from the point of view of an individual, may serve as a principal function of the species. The most important thing in love is *that which is not*, which is completely non-existent from an ordinary everyday materialistic point of view. In this sensing of that which is not, and in the contact thus reached with the world of the *truly real*, lies the principal meaning of love in human life. Chapter 16 ========== Analogy with ourselves is our only criterion and method of judging and drawing conclusions about the psychological phenomena of other people, if we cannot communicate with them or refuse to believe what they tell us about themselves. Supposing I were to live in the midst of people, without any means of communicating with them or drawing conclusions by analogy; I should then be surrounded by moving and acting automatons, the meaning, significance and causes of whose actions would be totally obscure for me. I have two means of knowing a man in himself -- analogy with myself and communication with him, *exchange of thoughts*. Without this a man for me is nothing but a *phenomenon*. The *noumenon* of man is his psychological life. *Noumenal* means *perceived by the mind* and the characteristic feature of the things belonging to the *noumenal world* is the fact that *they cannot be perceived by the same method as things of the phenomenal world*. We cannot see, hear, touch, weigh or measure the things belonging to the noumenal world. We also must remember that the noumenon and the phenomenon are not different things, but merely different aspects of *one and the same thing*. Every phenomena is the finite expression of something infinite. For us, a phenomena is a three-dimensional expression of the infinite. We can regard man's 'mind' as his function in a section of the world different from the three-dimensional section in which man's body functions. We can also regard as true that the unknown function of the 'world' outside of this three-dimensional section is as its own kind of 'mind'. Our ordinary positivist view regards *mind as the function of the brain*. Positivism, always and everywhere trying to apply the rule of three dimensions, is a blind alley in itself. In what relation does the psychological life of man stand to his brain? This question has been answered differently at different times. Psychological life was regarded as a direct function of the brain ("Thought is a motion of matter"), thus denying any possibility of thought or feeling without a brain. Then there were attempts at establishing the *parallelism* of mental activity and the activity of the brain. But the character of this parallelism has always remained obscure. Yes, a break-down or a disorder in the activity of the brain brings about an apparent break-down or disorder in mental functions. Still, the activity of the brain is *nothing but motion*, i.e. an objective phenomena, whereas mental activity is *objectively* undefinable -- hence, a subjective phenomena. The brain is that necessary prism passing through which a part of the mind manifests itself to us as *intellect*. Or putting it in a slightly different way, the brain is a mirror, reflecting the mind in our three-dimensional section of the world. It is clear that if the *mirror* is shattered, the *reflection* must also be shattered. *But there are no grounds for supposing that when the mirror breaks the OBJECT it reflects also becomes broken*. In our three-dimensional world, because our brain acts as a prism through which passes the mind, it follows that on this plane *not the whole of mind is seen*. The mind cannot suffer from disorders of the brain, but its *manifestations* can suffer greatly. The positivist remains unsatisfied. He will say: Prove to me that thought can take place without the brain, then I will believe. There are no proofs and there cannot be any. The existence of mind *without the brain* cannot be proved like a physical fact. We have established earlier that we can make conclusions about the mind of other beings by means of exchanging thoughts with them and by analogy with ourselves. Now we can add that because of this we can only know about the existence of minds similar to ours and can know no others *until we find ourselves on their plane*. Things which are basically similar cannot result from dissimilar causes. The positivist view of the world asserts that *the beginning of everything* is unconscious energy, produced by unknown causes at some unknown time. Having passed through a long series of processes, this energy manifests itself in visible and tangible motion. Positivism would be quite right and its picture of the world would not have a single defect *if there were no REASON in the world anywhere or at any time*. Yet positivism cannot deny the fact of *mind*. If it were able to disregard this fact completely, the universe could pass for an accidentally formed mechanical toy. Mind is something different from motion. However much we may persist in calling thought motion, we know that they are two different things. Thought can exist without motion, whereas motion cannot exist without thought, because the necessary condition of motion -- *time* -- comes from the mind. If there is no mind, there is no time. If there is no time, there is no motion. Motion is an illusion of thought. Our language depicts to us a false, dual universe. In reality it is one. It is important to establish the *monistic character* of the universe. What then is matter? On the one side it is a logical concept, a form of thinking. On the other hand it is illusion taken for reality. Matter is a section of *something*. Matter is only an artificial definition by our senses of some undefinable cause which infinitely transcends the thing, matter. How could we learn about the existence of the mind of other sections of the world? Again, by two methods: through communication, exchange of thoughts *and* by means of conclusion by analogy. In every *whole* of our world we see a great many *opposite* tendencies, inclinations, strivings, efforts. Each whole is as it were a battleground of a great number of opposite forces. The interaction of these forces constitutes the life of the whole. If *the whole* possesses mental life, then separate tendencies of forces must also possess a life of their own. A body or an organism is the point of intersection of the lines of these lives, a meeting-place, perhaps *a battlefield*. Our 'I' -- this is *the battlefield* in which, each moment, one or another emotion, one or another habit or tendency takes the upper hand, subjugating the others for that moment and identifying itself with the 'I'. But the 'I' is also a *being*, possessing *its own* life. All the beings in the *world of many dimensions* may not know one another, i.e. they may not know that we are connecting them together into various wholes in our phenomenal world, just as in general they may have no knowledge of our phenomenal world and its relationships. Our ordinary perception and thinking is too absorbed in the sensations of the phenomenal world and therefore does not reflect impressions coming from other beings, or reflects them so feebly that they do not become fixed in it in any perceptible form. If, however, the impressions coming from other beings are so strong that our mind senses them, it immediately projects them into the external phenomenal world and seeks a cause for them in the phenomenal world. Our mind is limited by its phenomenal perception. The world of phenomena encloses it like a wall. Our mind does not see anything apart from this wall. We must define what the noumenal world *cannot* be; and then what it *can* be, i.e. which relations are impossible and which are possible in it. First of all we can say that the world of noumena cannot be three-dimensional and cannot contain anything three-dimensional. The noumenal world cannot contain anything having extension in space and changing in time. And, it cannot contain anything dead, inanimate, *unconscious*, although the level of consciousness may be different. In the world of causes everything must be conscious. That which appears ordinary to us can never be real. *The real* appears miraculous to us; we do not believe in it, do not recognize it. Consequently we do not feel the *mysteries* of which life is full. Only the unreal is ordinary. The real must appear miraculous. The mystery of *time* permeates everything. The mystery of *thought* creates everything. As soon as we understand that thought is not a function of motion and that motion itself is only a function of thought we shall see that the whole world is a kind of vast hallucination. The mystery of *infinity* is the greatest of all mysteries. It tells us that the whole visible universe has no dimensions as compared with infinity; that they are equal to a point, a mathematical point which has no extension whatever, and that, at the same time, points which are not measureable for us may have a different extension and different dimensions. Review/Condensation of P.D. Ouspensky's Tertium Organum This review/condensation by Brian Redman Distribute freely if you like Chapter 17 ========== To us, inanimate objects and mechanical phenomena are lifeless and devoid of intelligence. But we are wrong. We recognize as animate beings only those possessing a mind accessible to our observation in the three-dimensional section of the world, i.e. beings whose mind is analogous to ours. Everything that lives, thinks and feels in a manner not completely analogous to ours appears to us as dead and mechanical. Yet sometimes we dimly feel the intense *life* which goes on around us. In electrical discharges, in lightning, in thunder, in the gusts and howling of the wind are felt flashes of sensory-nervous tremors of some gigantic organism. There can be nothing dead or mechanical in Nature. If life and feeling exist at all, they must exist in everything. Every phenomena; every object has a mind. A mountain, a tree, a river, the fish in the river, drops of water, rain, a plant, fire -- each separately must possess a mind of its own. And between the *mind* of a mountain and the *mind* of a man there must exist the same difference as there is between the *mountain* and the *man*. The *activity of life* of separate units may be quite different. The degree of activity of life may be judged from the point of view of reproductivity. In minerals this activity is so small that it appears to us that minerals do not reproduce themselves. Yet this may be only due to the insufficient breadth of our view in time and space. Perhaps if our view embraced hundreds of thousands of years we would be able to see the growth of minerals. Yet a stone can be split in two and the result will be simply two stones, whereas if a snail is cut in two the result will not be two snails. This means that the mind of a stone is very simple, primitive. The mind of a snail is infinitely higher than that of a stone. Anything indivisible is a living being. Each cell in an organism is a living being and must possess a certain kind of mind. A combination of cells, such as an organ, is again a living being; this time with a higher type of mind. Indivisibility in our sphere is a sign of a definite function. The intelligence of the divisible can manifest itself only in a collective non- individual intelligence. We admit consciousness only in a *whole* organism. But even a whole organism is merely a section of what we may call the life of this organism from birth to death. This *life* may be represented as a four- dimensional body stretched out in time. The physical three-dimensional body is only a section of the four-dimensional body, LINGA SHARIRA. We may presume in man three minds -- the mind of the body or instincts, the personality or the complex and constantly changing "I", and finally, the mind of the whole life or the greater "I." These three minds know very little about each other and communicate with one another only when we are in various "altered states." (i.e. dreams, trance, hypnosis, etc.) Family, community, nation -- any aggregate to which we belong -- possesses its own larger mind, of which we form a part. A nation is a living being. Mankind is also a living being; it is the *Great Man*, the ADAM KADMON of the Kabalists. The three minds of man, the mind of instincts, the mind of sensations, representations, concepts, thoughts, emotions and desires, and the mind of the greater "I", are not mutually inimical -- they coexist. But usually, in saying "I", a man means not all three domains, but that which is at the moment in the focus of his consciousness. As a rule, when a man says "I" he refers to some very small and insignificant facet which *at the given moment* fills the focus of consciousness and subjugates all the rest (until it is driven out by another equally insignificant facet). "I am hungry." "I read a newspaper." "I expect a letter." Only rarely does the "I" touch higher regions. This continuous movement which goes on in our mind, this constant shifting from one "I" to another, may perhaps explain the phenomenon of *motion* in the external visible world. Movement goes on inside us and it produces the illusion of movement around us. A birch tree is a living being. The birch tree in general -- the species -- is a living being. A forest containing birch trees as well as other types of trees is also a living being. Following this line of thought, we eventually arrive at the idea of an animate universe which in turn leads us to the idea of a "World Soul" -- a being whose manifestation is the visible universe. Since every living body has a mind, so every mind must possess a body. But it does not follow that all bodies must be alike, and that the bodies of beings of a higher order should be like ours. The vaster orders of mind go with vaster orders of body. The entire earth on which we live must have its own collective consciousness; so too must the planets and the entire solar system. The earth soul is our special guardian angel and we can pray to the earth as religious people pray to their saints. Ideas of the world as *animated and intelligent* are in no way new or paradoxical. They are a natural and logical necessity, springing from a wider view of the world than that which we normally permit ourselves. Chapter 18 ========== All explanations of the meaning of life suffer from one defect -- they all try to find the meaning of life *outside it* -- either in the future of mankind, or in the problematical existence after death, or in the evolution of the ego through long successive reincarnations -- always in something *outside* the present life of man. The meaning of life consists in knowledge. The strongest emotion in man is a yearning for the unknown. Even in love, the strongest attraction to which everything else is sacrificed, is the attraction of the unknown. The function of the inner life may be defined as the realization of the existence of the outer world as well as of one's own existence. All the mental faculties of man are instruments of knowledge. These mental faculties include feelings. Feelings are *means of knowledge*. Only to our narrow human view do feelings seem to serve other purposes. We do not realize, we do not see the presence of intelligence in the phenomena and laws of nature. This happens because we always study not the whole but a part, and we do not see the whole we wish to study. *Life* is the manifestation in our sphere of a *part* of one of the intelligences of another sphere. When a man dies, one eye of the universe closes. Every separate human life is a moment of the life of the *great being* which lives through us. Usually *the emotional* is opposed to *the intellectual*: "heart" is opposed to "reason". "Cold reason" is placed on one side and feelings are placed on the other. Yet really, between intellect and emotion there is no sharp distinction. In us there is nothing but emotions or their harmonious co-existence. This was clearly realized by Spinoza when he said that an emotion can be overcome only by another, stronger emotion, and by nothing else. *Reason* cannot conquer feeling, because feeling can only be conquered by feeling. Reason can only provide thoughts and images which would evoke feelings, *and these* conquer the feeling of the given moment. We know a great many things through emotions. Emotions are in no way instruments of feeling *for the sake of feeling*; they are all instruments of knowledge. There are things and relations which can be known only emotionally and only through a given emotion. To understand the psychology of gambling it is necessary to feel the emotions of a gambler; to understand the psychology of the hunt it is necessary to feel the emotions of the hunter. The reason why we understand one another so little is that we always live by *different* emotions. We understand one another only when we happen to experience identical emotions simultaneously. In this idea of the simultaneous experiencing of identical emotions lies the secret of the power of alcohol over human beings; alcohol produces the illusion of communion of emotions and stimulates fantasy *simultaneously* in two or more people. Nothing gives one such a clear idea of things as the emotions, and nothing misleads one as much as the emotions. The *cognitive value* of emotions is different. There are emotions which are indispensable for a life of knowledge -- and there are emotions which hinder rather than help understanding. Emotions are connected with the different "I's" of our mental life. An emotion which looks exactly the same at the first glance, may be connected with very small "I's" or with very big "I's" -- may be connected with selfish personal elements or with the larger, more permanent "I". The liberation from personal elements enhances the cognitive power of emotions. The cognitive power of an emotion is proportionately greater when a given emotion contains less *self-element*, i.e. when there is a stronger realization that the given emotion is not "I". It is an error to evaluate the world and people from the point of view of some one accidental "I", the self of a given moment. Not all emotions are capable in equal measure of being freed from self- elements. There are emotions which by their nature *divide*, estrange, alienate, make one feel themself to be apart, separate. Also, there is difficulty in dividing emotions into categories because emotions of the higher order can also be personal -- and then their effect is no different from that of the lower category. There are no emotions which are impure *in their nature*. Every emotion may be either pure or impure according to whether it contains an admixture of other emotions or not. A "pure" emotion gives a clear, pure image of the knowledge which it is intended to transmit. There may be pure desire to know, a thirst for knowledge for the sake of knowledge, and there may be a pursuit of knowledge led by considerations of *profit* and *gain* to be derived from this knowledge. The former would be an example of a pure emotion while the latter would be an example of an impure emotion. The word "aesthetic" is derived from the Greek word "aisthetikos" which means "of sense perception." Thus the purifying of the emotions leads to improved perceptions, or in other words, morality is a form of aesthetics. That which is not moral is not aesthetic. Nowhere do delusions spring up more easily than in the domain of morality. Engrossed in *his own morality* and moral preachings a man forgets the *aim* of moral perfection, forgets that the aim consists in knowledge. He begins to see the aim in morality itself. No tyranny can be more fierce than the tyranny of morality. The organized forms of intellectual knowledge are *science* and *philosophy*. The organized forms of emotional knowledge are *religion* and *art*. The purpose behind the pomp of religious rituals, the processions, the sacrifices, the singing, the music, the dances -- the aim of all these things is to incite a certain emotional state, to evoke in man certain definite feelings. Their purpose is to make accessible to the participant a definite knowledge of the hidden side of the world. Art, too, is a powerful instrument for knowledge of the noumenal world. Yet when art begins to enjoy the beauty already *found, instead of seeking new beauty*, all progress is checked, and art becomes transformed into a useless aestheticism surrounding man with a wall and preventing him from seeing further. *The search for beauty* is the aim of art, just as the search for God and *truth* is the aim of religion. Like art, religion no longer progresses when it ceases to *seek* God and truth and begins to think that it has found them. Science, philosophy, religion and art really begin to serve *true knowledge* only when they begin to manifest intuition, i.e. the sensing and finding of some inner qualities in things. Actually one may say that the aim of even purely intellectual scientific and philosophical systems is not at all to give to one certain information, but to raise one to a height of thought and feeling where she can pass to the new and higher forms of knowledge. Moreover, it should be born in mind that the very division of science, philosophy, religion and art into separate categories shows their incompleteness. When we see the whole of which these four categories form a part, then we will approach a complete knowledge. Review/Condensation of Tertium Organum by P.D. Ouspensky (ch. 19 - 20) This review/condensation by Brian Redman Distribute freely if you like Chapter 19 ========== Science studies phenomena; as soon as it tries to pass on to the study of causes, it is confronted by the wall of the unknown and, *for it*, the unknowable. At present this is the situation: the number of unknown facts in every domain of scientific knowledge is increasing rapidly. The progress of science, especially in recent times, may be defined as a very rapid growth of the regions of ignorance. Of course in the past there was no less ignorance than there is now. But in the past it was not so forcibly felt -- then science did not know what it is ignorant of. Now it knows this more and more, it realizes more and more clearly its own conditional nature. Positivist thinking, which draws general conclusions from the knowledge gained by the separate departments of science, will find itself obliged to draw a conclusion from that which the sciences do not know. And then we will be confronted by a colossus (positivism) with feet of clay. Philosophy has seen for a long time that this colossus has no feet, but the greater part of cultured humanity is still under the hypnosis of positivism. The greater part of humanity still sees just the colossus and not the feet of clay. I [Ouspensky] call positivism that system which asserts, in opposition to Kant, that the study of phenomena *can* bring us nearer to things in themselves. Positivism affirms that through studying phenomena we can come to the understanding of causes. The usual positivist view denies the existence of the *hidden side of life*, or rather it finds that this hidden side consists of electro-magnetic phenomena and is being gradually revealed to us. This assertion would be correct if science moved uniformly in all the directions of the unknown; if a multitude of fundamental questions did not remain just as obscure as in the times when no science existed at all. However, we see that whole vast regions are closed to science, that it has *never* penetrated them and indeed has made *no step* in the direction of these regions. As regards questions of life and death, of the mystery of consciousness, and others of that ilk, our scientific method is of no value. The scientific method can establish the chemical composition of distant stars and photograph the human skeleton invisible to the eye -- but it cannot tell us what the man sitting next to us is thinking. The mistake of positivism consists in the fact that it has recognized as really existing only that which can be perceived by the senses. Yet this small group of perceived existences by no means represents everything that exists. What then is objectivity? We may define it in this way: owing to the properties of *our* perception or owing to the conditions under which our mind works, we segregate a small number of facts into a definite group. This group of facts represents for us the objective world. But this group does not by any means represent everything existing. Materiality means the conditions of existence in time and space, i.e. conditions of existence under which "*two identical* phenomena cannot take place at the same time and in the same place." It is clear that in the conditions known to us, two identical phenomena taking place at the same time and in the same place would constitute one phenomenon. But this is obligatory only for the conditions of existence we know, i.e. for such matter as we perceive. If we can imagine a being living outside of the conditions of materiality, such a being will be able to possess simultaneously things which, from our point of view, are mutually exclusive; he will be able to be in several places at once; to assume different aspects; to perform at the same time contradictory and mutually exclusive actions. Objective knowledge can grow indefinitely with the perfection of apparatuses and methods of observation and investigation. The only thing it cannot step over is -- the limits of the three-dimensional sphere, i.e. the conditions of space and time, because it is created in those conditions, and the conditions of existence of the three-dimensional world constitute its own conditions of existence. Objectively, knowledge will be always subject to these conditions, because otherwise it would cease to exist. Our objective knowledge is confined within the limits of an *infinite three- dimensional sphere*. It can advance *ad infinitum* along the radii of that three-dimensional sphere, but it will not pass over into the domain of which our three-dimensional world represents *a section*. [Note: Ouspensky finishes this chapter with ideas on the expansion of consciousness as a means of widening our cognitive abilities, thereby liberating us from the confines of three-dimensional representations. For example: "A drop of consciousness merging with the ocean of consciousness, perceives the ocean but does not, through this, cease to be." I assume that the reader has some familiarity already with ideas of this type.] Chapter 20 ========== When we come upon the fact of INFINITY in any mode of our thought, it is a sign that that mode of thought is dealing with a higher reality than it is adapted for. Infinity is the only reality and at the same time it is the abyss, the bottomless pit into which our mind falls after having risen to a height where it cannot keep a foothold. We have previously examined the way in which a two-dimensional being might come to the understanding of the third dimension. But we have not asked ourselves what such a being would *feel* when it begins to sense the third dimension. Let us imagine an animal in which flashes of human understanding begin to appear. The first sensation of this being would be that its old world, the world of two dimensions, *the only world* it represents to itself as real, is crumbling away and falling into ruins all around. Until such a being learns to perceive realities of another, higher order, the sensation of the unreality of everything from its old world would be very strong. This hypothetical being would pass from one negation to another -- it would be forced to repudiate everything in its old, two-dimensional world. Formerly, when it was an animal, it reasoned thus: This is this This house is mine. That is that That house is strange. This is not that The strange house is not mine. Thus a strange house and its own house an animal regards as *different objects* having nothing in common. And now it will suddenly understand that both the *strange* house and *its own* house are equally -- houses. This hypothetical being will begin to sense dimly some *new properties* in houses. As a result it will feel in need of some system for the generalization of these properties. But because this two-dimensional being awakening to the third dimension has no concepts, it will express its sense of these new properties in the form of the proposition: *This is that.* If we were to tell this hypothetical being that two different houses, its own house and a strange house, both represent the same thing, that they both are *houses*, this being will never credit their sameness. For it the two houses -- its own where it is fed and the strange one where it is beaten, will remain *totally different*. They will remain totally different, that is, until this being begins to dimly sense the sameness of these different objects. When this happens, because this being does not possess concepts, it will translate the idea of the sameness of these two different objects as *this and that are the same object* -- this is that. To understand the new three-dimensional world, the animal would have to understand the *new logicality* of that world. The system of logic developed by Aristotle and Bacon, and elaborated and supplemented by their numerous followers, operates *soley with concepts*. LOGOS, the word, is the subject of logic. To become the subject of logical reasoning an idea must be expressed in a word. What cannot be expressed in a word cannot enter into a logical system. At the same time we know that not everything can be expressed in words. Therefore, not everything can be logical to us; a great many things are essentially outside logic. Feelings, emotions, and religion are outside of the domain of logic. All art is a complete illogicality. If we compare the axioms of logic with the axioms of mathematics, we see that they are basically identical: The axioms of logic -- 'A' is 'A' 'A' is not 'not A' Each thing is either 'A' or 'not A' The fundamental axioms of mathematics -- Every magnitude is equal to itself The part is less than the whole Two magnitudes, equal separately to a third, are equal to each other. This similarity between the axioms of these two disciplines allows us to draw the conclusion that they have the same origin. Just as logical axioms can operate only with concepts, so mathematical axioms can operate only with *finite* and *constant* magnitudes. This means that the axioms of logic and mathematics are deduced by us from the observation of *phenomena* and represent a certain conditional incorrectness. In other words, these axioms are tied to the conditional, phenomenal world. In fact we have *two mathematics*. One -- the mathematics of finite and constant numbers, represents an entirely artificial construction. This mathematics studies an artificial universe and is unable to penetrate *beyond phenomena*. The other -- the mathematics of infinite and variable magnitude, is something entirely real and refers to the world of noumena. An example of the other mathematics, the mathematics of infinite and variable magnitude, is the mathematics of transfinite numbers. Transfinite numbers are numbers that are *beyond infinity*. Infinity, represented here by the sign 00, is a mathematical expression. It is possible to raise infinity to the power of infinity (00^00). This magnitude is an infinite number of times greater than a simple infinity. And at the same time they are equal: 00 = 00^00. This violates the laws of mathematics of *finite* numbers. Moreover, transfinite numbers are entirely real. To give an example from the phenomenal world, let us take a segment of a line. Let us say that our segment is an inch in length. We know that the number of points in this segment is infinite, because a point has no dimensions. Now let us imagine a second line segment, this time a segment a mile long. Because the number of points in *each* segment is infinite, each point in the smaller segment will have a corresponding point in the larger segment. The fundamental axioms of finite mathematics are valid only for finite numbers and *constant* magnitudes. In other words, each magnitude is equal to itself at a given moment; if we take a variable magnitude, and take it at different moments, it will not be equal to itself. Of course, one may say that, in changing, it becomes another magnitude, that it is a given magnitude only so long as it does not change. *But that is exactly the point*. To our *finite* point of view, it is a different magnitude; from an infinite point of view, it is the same magnitude. The greatest magnitude of finite mathematics is equal to nought in comparison with *any* magnitude of infinite mathematics. And, because 00 = 00^00, all the various magnitudes of infinite mathematics *are equal among themselves*. Thus here, as well as in logic, the axioms of the *new mathematics* appear as absurdities: A magnitude can be not equal to itself. The part can be equal to the whole or can be greater. One of two equal magnitudes can be infinitely greater than the other. All *different* magnitudes are equal to each other. We observe a complete analogy between the axioms of mathematics and those of logic. The logical unit -- the concept -- possesses all the properties of a finite and constant magnitude. The fundamental axioms of logic and mathematics are correct only so long as logic and mathematics operate with artificial, conditional units that do not exist in nature. The truth is that there are no finite, constant magnitudes in nature, just as there are no concepts. Both are only abstractions. The idea of constancy or variability is the outcome of the incapacity of our limited mind to know a thing as it actually is. But if we achieve the knowledge of a thing in four dimensions it will then be a whole and constant magnitude, a *section* of which we mistakenly call the thing *changing in time*. The infinite magnitude of this thing is something that we currently are not aware of. We know only a section of it, and to this imaginary section belong our present mathematics and logic. Review/Condensation of Tertium Organum by P.D. Ouspensky ch. 21 - xx This review/condensation by Brian Redman Distribute freely if you like Chapter 21 ========== As soon as, instead of concepts, we begin to think in other terms, we must be prepared to meet with an enormous number of absurdities *from the point of view of existing logic*. There is no reason whatever for hoping that in *the world of causes* relations can be logical from our point of view. On the contrary, we may say that everything logical is only phenomenal. The attitude of human thought toward "the world beyond" has been entirely wrong. In positivism people have denied the world beyond altogether. And the world beyond of the spiritualists is merely a naive and primitive representation of the unknown. In spiritualism they attempt to build a noumenal world on the pattern of the phenomenal, i.e. they try to prove that the world beyond is logical from our point of view -- that the world beyond is nothing more than a continuation of ours. (Mathematics is a sort of telescope by means of which we may begin to investigate the space of many dimensions. Mathematics grows, widens, and passes beyond the boundaries of the visible and measurable world. There cannot be any mathematical relations for which there are no corresponding realities. Mathematics goes in the vanguard of our thought -- it already calculates relationships which we are incapable of imagining.) The recognition of the reality of the world of many dimensions is an *already accomplished* transition to the recognition of the world of the 'miraculous.' And a transition to the miraculous is impossible without admitting the reality of new logical relations, absurd and impossible from the point of view of our existing logic. If we want to leave the three-dimensional world we must first of all throw off the fetters of our logic. If we enter the world of many dimensions with logical principles from the three-dimensional world, these principles will drag us back. Suspecting the existence of the multi-dimensional world, we attempt to penetrate it without realizing that the chief obstacle in our way is our own division of the world into *this world* and the *world beyond*. The world is one, but the methods of perceiving it are different. Approaching the world of causes with nothing but a knowledge of the world of phenomena, and armed only with a three-dimensional logic, one is bound to experience a terror beyond limits. Terror at the loss of the old would be mixed with a fear of the new, terrifying in its infinity. In order not to experience the terror of the new world, it is necessary to know it beforehand, either emotionally -- through faith and love, or intellectually -- by reason. And in order not to experience terror at the loss of the old world, one should renounce it voluntarily beforehand, also either through faith or reason. Our current logic and mathematics must renounce themselves in order that the new logic and mathematics can be understood. Higher logic existed before deductive and inductive logic was ever formulated. Higher logic may be called intuitive logic, the logic of infinity. I [Ouspensky] have called this system of higher logic TERTIUM ORGANUM, because *for us* it is the *third instrument* of thought after Aristotle and Bacon. The first was ORGANON, the second NOVUM ORGANUM. But the third existed before the first. The axioms which Tertium Organum contains cannot be formulated in our language. But if we still try to formulate them, they will produce the impression of absurdities. We may express the principle axiom of the new logic in our poor earthly language in the following way: * 'A' is both 'A' and 'not A' or * Every thing is both 'A' and 'not A' or * Every thing is All. But in fact these formulae are completely impossible. And they are not *axioms of higher logic*; they are merely attempts to express the axioms of this logic in concepts. In reality the ideas of higher logic are *inexpressible* in concepts. To hope to find anything in the world of causes that would be logical from our point of view is just as useless as to think that the *world of things* can exist in accordance with the laws of the *world of shadows*. Again, let us imagine a two-dimensional being coming into contact with our three-dimensional world. It must first get rid of its "idols", i.e. of its accepted ways of feeling and thinking, which have become axiomatic and are creating for it the illusion of two-dimensionality. What exactly must a two-dimensional being get rid of? 1) It must get rid of the conviction that what it sees and senses actually exists. 2) It must become aware of the incorrectness of its current representation of the world. 3) It must become aware of the idea that the real, new world must exist in some quite different forms, new, incomparable, incommensurable with the old. 4) The two-dimensional being must get rid of the assurance that its *divisions* are correct. It must understand that things which appear to it totally different and separated may be a part of some *whole* incomprehensible to it. The mental growth of the two-dimensional being must proceed along the line of the recognition of the common properties of certain objects. By understanding the common properties of certain things, the two-dimensional being will have come near to our logic; it will have begun to understand the use of a *collective noun*, i.e. a word which is not a proper name but a common noun; in other words, a word expressing a concept. The "idols" of the two-dimensional being which obstruct the development of its consciousness are *proper names* which the being itself gives to surrounding objects. For example, consider that the two-dimensional being has heretofore known two men named John and Peter. Up until now, the two-dimensional being was incapable of understanding the concept "men." The sentence "John and Peter are both men" would be an absurdity to it. In its own representation, this sentence would be the same as saying "John and Peter are both John and Peter." Because it has no concepts, because it has no *plurals* (because proper names have no plurals), the plurals of our speech will seem to the two-dimensional being to be an absurdity. The logic of Aristotle and Bacon is fundamentally *dualistic*. If we are deeply imbued with the idea of *monism*, i.e. the fundamental unity of everything existing, we shall conquer the "idol" of our current logic. The fundamental axioms of our current logic may be reduced to the general idea that every given *something* has *something* opposite to it. The recognition of the *unreality* of these divisions and of the unity of all opposites is necessary for the beginning of understanding of the higher logic. Duality is the condition of *our* perception of the phenomenal world; it is the *instrument* of our perception of phenomena. But when we come to the perception of the noumenal world this duality begins to stand in our way. *Dualism* is the chief "idol" we have to get rid of. But an application of monism to practical thinking comes up against the insurmountable obstacle of our language. Our language is incapable of expressing the unity of opposites, just as it is incapable of expressing *spatially* the relation of cause and effect. Consequently, all attempts to express *super- logical* relations in our language will appear absurd, and actually will only *hint* at what we wish to convey. Let us try to enumerate the properties of the *world of causes* which may be derived from everything said so far. (Before beginning, it is necessary to reiterate that it is impossible to express *exactly* in our language the properties of the world of causes.) 1) In this world "time" must exist spatially. What we call *the law of causation* cannot exist there, because the necessary condition for it is -- time. And, again, all the *possibilities* of a given moment, even those opposed to one another, together with all their results *ad infinitum*, must become realized simultaneously with the given moment. 2) There is nothing there measurable by our measures. Different points of our space divided for *us* by long distances, must be adjacent there. Proximity or distance are determined there by inner affinity or divergence, by sympathy or antipathy, i.e. by properties which seem to us subjective. 3) There is no "matter" there, nor is there motion. 4) There is *nothing* dead or unconscious there. 5) Axioms of our mathematics cannot be applied in that world, because there is nothing *finite* there. 6) Laws of our logic cannot operate there. From the point of view of our logic that world is *outside logic*. 7) The multiplicity of our world cannot exist there. Everything is the whole. 8) In that world there can be none of the duality of our world. *Being* is not opposed to *non-being* in that world. On the contrary, the one includes the other. That world is the world of the unity of opposites. 9) No difference between the real and the unreal can exist there. 10) *That world* and *our world* are not two different worlds. That which we call *our* world is only our incorrect representation of the world. 11) Even in comprehending that world, we will not embrace it in its vast entirety, i.e. in all the variety of relations existing within it, but will think of it only in one or another aspect. 12) Between the world of causes and the *All* there may be many transitional stages. Chapter 22 ========== [In this chapter, Ouspensky gives us what he calls a "...survey of systems referring to the world of causes." Basically, he outlines the mystical experiences and writings of various well-known visionaries and religious sects, such as the author(s) of the Upanishads, Plotinus, Jacob Boehme, Theosophists, and followers of Sufism. He quotes extensively from these sources. Rather than again quote from these same sources, as it is possible that many readers are more or less familiar with some or all of these ideas, I instead refer the reader to the original sources or to Ouspensky's books themselves. A brief synopsis of this chapter follows.] If we ask what was the highest purpose of the teaching of the Upanishads, we can state it in three words -- Tat tvam asi -- Thou art that. "Thou art that" means: *thou art both thou and not thou* and corresponds to the super-logical formula -- 'A' is both 'A' and 'not A'. The results of mystical experience are totally illogical from our ordinary point of view. They are super-logical. The illogicality of the results of mystical experience made positivistic science repudiate them. However we now establish that *illogicality* (from our point of view) is the condition necessary for knowing the real world. This does not mean that everything illogical is real, but it certainly means that everything real is, from a three- dimensional viewpoint, illogical. If we examine ancient scriptures from this point of view, we shall understand that their authors were looking for a *new logic*, and were not satisfied with the logic of things of the phenomenal world. Then we shall understand the apparent *illogicality* of ancient philosophical systems in which systems of *higher logic* are often concealed. Mystics of different centuries and nations speak the same language and use the same words. In their writings we see the agreement of the results of their experiences with our own theoretically deduced *conditions of the world of causes* -- the sensation of the unity of all, a new sense of time, the sense of infinity, joy or terror, the knowledge of the whole in the part, and infinite life and infinite consciousness. Chapter 23 ========== People have despaired of finding answers to the principal questions and have given up bothering about them. We feel this hopelessness of ever arriving at an answer when we regard man as something finite and complete, when we see nothing beyond man and think that we already know everything there is in man. There is cold comfort in all social theories promising us various blessings upon earth. *Why? What is all this for?* All right, everybody will be fed, no one will have to toil. Excellent. *But what next?* We can arrive at an answer to the question of the purpose of our existence, but people will not accept it -- they will want the answer to be in a form that they like. They will demand the solution of the question of the destiny of man, but of man such as they imagine him to be, and they will refuse to recognize the fact that man can and must become something quite different. To think of the future of man as he now is would be as senseless as to think of the future of a child, thinking that he will remain a child forever. At the present time the general concept "man" is too undifferentiated and embraces completely different categories of men, those capable of development and those incapable of it. The new view of humanity repudiates the idea of equality -- which does not exist anyway -- and strives to establish the signs and facts of the differences between men. Some are capable of going forward while others are incapable of going forward. [Note: Ouspensky does not spell out exactly what he means by "going forward." As to the idea of inequality, this apparently refers to the obvious difference in talents, skills, cleverness, etcetera, amongst any random group of people. However, this is only how I am interpreting it.] If we feel that we do not yet know our destiny, if we still doubt and are afraid to part with the hopelessness of the positivist view of life, we do so, first, because we take together, without differentiation, men of totally different categories, with a totally different future, and second, because the ideas we *need*, through which we could understand the real correlation of forces, have not won a place in *official knowledge*, do not represent any recognized department or branch of knowledge and are rarely to be found together in one book. We fail to understand many things, because we specialize too easily and too drastically. The creation of specialized disciplines and literatures is the chief evil and chief obstacle to right understanding of things. Each "literature" evolves its own terminology, its own language, incomprehensible to representatives of other literatures. What we have needed for a long time is *synthesis*; we need a *new* literature which cannot be referred to any of the accepted library classifications. The further evolution of man (if it takes place) can no longer, as before, be the result of primordial and *unconscious* causes, but will depend on *conscious* efforts towards growth. Also, man's new faculties of understanding and feeling (again, if any of us achieve them), will not be the product of the evolution of the *existing* faculties. Imagine that a scientist from another planet, who knows nothing of the existence of man, studies a horse and its "evolution" from a foal to a riding horse, and sees the highest degree of its evolution in a horse with a man on its back. From our point of view it is clear that it is impossible to regard the man in the saddle as a fact of *equine* evolution. In a like manner, the new man, if he arrives, will be more than merely the further development of the old man. It is more correct to regard the different forms of consciousness in the different parts and strata of living nature not as separate and evolving from one another, but as belonging to *one organism* and fulfilling functions which, although different are interconnected. Not understanding the existing variety of forms and their interconnections, and not knowing how to think of it all *as a unity*, people seize upon the evolutionary view and regard the variety of forms as an ascending ladder. This view is derived from a desire to systematize what we observe. We think that because we have constructed a system this means that we know something. But in reality absence of a system is often nearer to true knowledge than an artificial system. Conclusion ========== In the Apocalypse, the Angel swears that *there shall be time no longer*. This and similar phrases give us a glimpse of the philosophical content of many Gospel teachings. The apostle Paul's words are also striking: "That ye, being rooted and grounded in love may be able to comprehend with all saints what is the *breadth* and *length* and *depth* and *height*." This could be restated as "Sanctity will give you a knowledge of space." Is this what St. Paul was trying to say? We do not know. But let us look at these words of the Apocalypse and the Epistles from the point of view of our ordinary positivist thinking. What shall we see? *We shall see nothing*. The glimpse of *mystery*, revealed for a moment, will immediately vanish. Thus positivism robs us, and deprives our lives of all beauty, all mystery, and all meaning. THE METHOD IS NO GOOD. In its time, positivism came as something refreshing, something *progressive*, blazing new trails for thought. But now we see that it inevitably leads to materialism. And in this form it arrests thought. From being revolutionary, positivism has now become the basis of official science. It wears a uniform. It is recognized. It teaches. It rules over thought. Having attained prosperity and success, positivism put an obstacle to the further development of thought. A Chinese wall of positivist sciences and methods confronts free investigation. Everything rising above this wall is declared to be "unscientific." And in this form positivism, which before was a symbol of progress, has become *conservative, reactionary*. In the realm of thought the *existing order* has become established, and struggle against it is punished. But free thought cannot be confined within any limits. The true *motion* which lies at the basis of everything is the *motion of thought*. *Truth* itself is motion and can never come to rest. The real progress of thought exists only in the widest possible striving towards knowledge, a striving which does not rest upon any forms of knowledge already found. =============================================================================== ================================== The End ==================================== =============================================================================== A note from the reviewer: Synopsis! That's the word I was looking for. This has been a synopsis of Tertium Organum by P.D. Ouspensky. 1) I do not necessarily agree with all of Ouspensky's ideas. However, I like his ideas because they are different. If you do not agree with some or all of Ouspensky's ideas, take it up with Ouspensky and not with me. I don't feel like debating Tertium Organum for the next twenty years. 2) However, generally I would be interested in what you think about Ouspensky's ideas. If you think they suck, if you think they are the greatest, drop me a line. You can reach me at Compu$erve (72567,3145) or at GEnie (I think my mail address there is Brian Redman). Also I visit many BBSs so you might run into me on one of them. 3) It has been a pleasure for me to write this *synopsis*. By writing it, I feel that I have become more strongly familiar with some of Ouspensky's ideas. My hope is that you enjoyed reading it. Happy motoring! Brian Redman