The life of the spirit may be fairly
represented in diagram as a large acute-angled triangle divided horizontally into unequal parts with the narrowest segment uppermost. The lower the segment the greater it is in breadth, depth, and area.The whole triangle is moving slowly, almost invisibly forwards and upwards. Where the apex was today the second segment is tomorrow; what today can be understood only by the apex and to the rest of the triangle is an incomprehensible gibberish, forms tomorrow the true thought and feeling of the second segment. At the apex of the top segment stands often one man, and only one. His joyful vision cloaks a vast sorrow. Even those who are nearest to him in sympathy do not understand him. Angrily they abuse him as charlatan or madman. So in his lifetime stood Beethoven, solitary and insulted. Wassily Kandinsky (1866 –1944)


Thursday, September 6, 2012

Peter D. Ouspensky: Tertium Organum (1912)


           A Key to the 
      Enigmas of 
             the World:
                (Chapter 21)


Necessity of abandoning our phenomenal logic for a noumenal approach. Science must recognize that only through poetry and mysticism do we approach the world of causes. Preparation through faith and love are necessary to overcome the terror ofinfinity. The real meaning of 'Poor in spirit'. The Organon of Aristotle, the Novum Organum of Bacon and Tertium Organum which, though often forgotten, existed before the others and is a key to the hidden side of life. Necessity of discarding our two-dimensional 'idols' and attempting to enumerate the properties of the world of causes. Everything said about mathematical magnitudes refers also to logical concepts. Finite mathematical magnitudes and logical concepts are subject to the same laws. We have now made it clear that laws discovered by us in three-dimensional space and operating in this space are inapplicable, incorrect and untrue in a space of a greater number of dimensions. This is equally true in mathematics and in logic. As soon as, instead of finite and constant magnitudes, we begin to examine infinite and variable magnitudes, we see that the fundamental axioms of our mathematics cannot refer to them. And as soon as, instead of concepts, we being 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.  They would seem absurdities  to us because we  approach the many­ dimensional world with the logic of the three-dimensional world. It was shown  earlier that for an animal, i.e. for a two-dimensional being thinking not by concepts but by representations, our logical propositions are bound to seem absurd. The logical relations in the world of many dimensions appear just as absurd to  us.  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 saythat EVERYTHING LOGICAL is only phenomenal. On the other side there can be nothing logical from our point of view. Everything that exists there is bound  to appear to us a logical absurdity, nonsense. And we must remember that we cannot orientate ourselves there with our logic. The attitude of human thought in its main trends to the 'world beyond' was always entirely wrong.
               
                           The 'world beyond' of the spiritualists, in all the existing versions of it, is but a naive and primitive representation of the unknown. In 'positivism' people have denied the world beyond altogether, because, refusing to admit the possibility of logical relations other than those formulated by Aristotle and  Bacon, people denied  the  very existence of anything that appeared senseless  andimpossible from the point  of  view of these formulae. And in 'spiritualism'  they attempted to build a noumenal world on the pattern of  the phenomenal, i.e.  against reason, in defiance of the forces of nature, they wanted at  all  costs to  prove that the world beyond is logical from our point of view, that the same laws of causation operate there as in our world, and that the world beyond is nothing more than a continuation of ours.
                       Positivist philosophy saw the absurdity of dualistic theses, but, unable to widen the field of its activity limited  by logic  and the 'infinite  sphere', it  could  not think of anything better than DENIALOnly mystical philosophy felt the  possibility of relations other  than these  of  the phenomenal world. But it dwelt on vague and nebulous sensations, unable to define or classify them. Science must come to mysticism, and then to the study of forms of consciousness ­ and  consequently of  perception - other than ours. Science  must throw off almost everything old and must start from a new theory of cognition, for mysticism offers a new approach.
                Science cannot deny the fact that mathematics grows, widens and passes beyond the boundaries of the visible  and  measurable world. Whole sections of mathematics examine quantitative relations which do not exist and never existed in the real world of positivism, i.e. relations to which there are no corresponding realities in the visible, i.e. the three-dimensional world. But there  cannot be  any  mathematical relations for which there  would be no corresponding realities at all. Consequently, mathematics transcends the boundaries of this world and peeps into  the world of the unknown. It is a  telescope by  means of which we begin to investigate  the  space  of many dimensions with its worlds.

                  Mathematics goes in the vanguard of  our thought, in the vanguard  of  our powers of imagination and representation. It already calculates relationships which we are totally incapable of imagining or even thinking about. All this  cannot  be denied even from  the strictly 'positivist', i.e.  positive point  of view. And,  having admitted the possibility  of widening the field of  mathematics beyond the limits of the world known through the senses, i.e. beyond the limits of the world  accessible (be it only theoretically) to the organs of sense and to apparatus, science must, by this very fact, admit the expansion of the real world far beyond the limits of the 'infinite sphere' and logic. In other words it must recognize the reality of the 'world of many dimensions'. The recognition of the reality of the world of many dimensions is an  already accomplished transition to the understanding and 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 logic.

                  What are the laws of our logic? They  are the laws of our perception of the three-dimensional world or the laws of our three-dimensional perception of the world. If we  want to leave the three-dimensional world  behind and advance  further, we must first of all evolve some fundamental logical principles which would enable us to  observe the relationships of things in the world of many dimensions and see in them a certain orderly interdependence rather than complete absurdity. If we enter there with logical principles of the three-dimensional world, they will drag us back, will not allow us to rise above the ground. We must first of all, throw off the fetters of our logic. This is the first, the great and the principal liberation towards which humanity should strive. A man who has thrown off the fetters of 'three-dimensional logic', has already passed in thought into another world.  And this transition is  not only possible  but is being constantly accomplished. Unfortunately, we are not entirely aware of our rights to the 'other world'  and often lose these rights, considering ourselves locked into this terrestrial  world. And yet ways leading there  exist. Poetry, mysticism, idealistic philosophy of all ages and peoples preserve traces of such transition. Following these traces we also can find the way. Ancient and modern thinkers have left us many keys  with which we  can  unlock the mysterious doors, and many magical formulae before which these doors open by  themselves.  But  we failed to  understand the  purpose  of either the keys or the formulae;  and we  have lost the  understanding of  magical ceremonies and rituals of initiation in the Mysteries, which pursued only one aim - to  help this transition in man's soul.

                 And so the doors  have remained locked,  and we  even deny that there is anything behind  these doors.  Or, suspecting the existence of another world,  we  regard  it as similar to ours and separate from ours, and attempt to penetrate it without realizing that the chief obstacle on our path is our own  division  of the world  into  this world and the  world beyond.The world is one - but the means of perceiving it are different. And with imperfect means of perception it is impossible to penetrate into that which is accessible only to the perfect. Attempts with the logic of the phenomenal world to penetrate in thought into the world beyond, the world of noumena, the world of causes, if they did not prove  a complete failure or did  not lead a man to the world of waking dreams, gave one result only. - Conscious of the new order of things man lost the sense of the reality of the old order. The visible world began to appear to him  fantastic,  unreal; everything vanished around him, disappeared like smoke, leaving a  terrifying sensation  of  illusion. He felt  in  everything  the abyss of infinity, and everything pouring away into this abyss.

           The sensation  of  infinity is the first and most  terrifying  trial before initiation. There is nothing! The small insignificant soul feels itself suspended in an infinite void. Then even the soul itself ceases to exist. There is nothing ­there is only infinity, the constant and continuous breaking up and dissolution of everything. In the mystical literature of all peoples there are references to this sensation of void and darkness. The mysterious deity  of the  ancient Egyptians, mentioned in  the  Orphic myths* was:  'The thrice-unknown darkness in contemplation of which all knowledge is resolved into ignorance.' This means that, approaching  the world of causes with nothing  but  the knowledge of  the world of phenomena, with  his own  instrument of logic which proved futile because  all the new eluded him,  a man was bound  to experience a terror surpassing all limits. In the new he felt as yet nothing but chaos, the old was vanishing, receding, becoming unreal. Terror and regret at the loss of the  old was mingling with  the fear  of the new, the  unknown, terrifying in its infinity. At this stage a man goes through the same experience as that of an animalin becoming a  man.

               After a momentary  glimpse  of the  new world it is dragged back by life. The world it has glimpsed for a short moment seems a dream, a fantasy, a creation of its imagination. But the old world of the past is no longer the same either, it becomes narrow, there is no longer any room in it. The awakening consciousness can no longer lead the same wild and free life of a beast. It already Annie Besant,  The Ancient  Wisdom,  Theosophical Publishing House,  Adyar, 1939, Introduction. knows something, hears some voices. And at the same time the body holds it. And it does not know where and how it can escape it or escape from itself. A man on the threshold of the new world has exactly the same experience. He has heard the music of heaven,  and the dull songs of the earth no longer touch or move him; or, if they do touch and move him, it is because they speak to him of heavenly sounds, of the unattainable, of the  unknown. He has experienced  a feeling  of an extraordinary EXPANSION of consciousness, when for a moment everything was clear to him, and he cannot reconcile himself to the slow earthly working of the brain. Moments of 'sensation of infinity' are connected with quite special emotions.

                     In 'theosophical' literature  and in books on occultism it is often said that, passing into the 'astral' world man begins to see new colours, colours which are not in the solar spectrum.This symbolism of the new colours of the 'astral sphere' conveys precisely the thought about the new emotions which  a man begins to experience together with the sensations of an  expanded  consciousness - 'the ocean  being  absorbed by a drop'. This is the 'incredible bliss' of which mystics speak, the heavenly light which the saints 'see', the 'new sensations' which  poets experience.  Even  conversational psychology connects 'ecstasy' with completely unusual new sensations, inaccessible and unknown to man in ordinary life. This sensation of light and infinite joy is experienced in moments of expansion of consciousness (the unfolding of the mystic lotus of the Indian Yogi), at the moment of the sensation of infinity which produces,  at the same time, the sensation of darkness  and boundless terror.What does it mean?How to reconcile the sensation of light with the sensation of darkness, the sensation of joy with the sensation  of terror? Can it be simultaneous? Does it happen simultaneously?
            

  It does happen and it has got to be so. Mystical literature gives us examples of this. The simultaneous sensation of light and darkness, joy  and terror seems to symbolize the strange duality and contradiction of human life. It can happen to a man who is very sharply divided, with one side of his nature gone far into the 'spirit' and the other side deeply sunk in 'matter', i.e. in illusion, in unreality; with too profound a faith in the reality of the unreal. Although it must be remembered that we see only three of the seven colours of the solar spectrum. Speaking generally, the new world gives the sensation of light, of life, of all-pervading consciousness, of joy. . . . But to a mind which is not prepared the same world  will  give a sensation  of infinite darkness and  terror. Moreover, the sensation of terror must come from the loss of everything real, from the disappearance of this world. 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. It is necessary to renounce voluntarily all the beautiful bright world we live in, to admit that it is a mirage, a phantom, an unreality, deceit, illusion, may a.  One should become reconciled to this unreality,  not be afraid of it  but rejoice in it. One should be stripped of everything. One should become POOR IN SPIRIT, i.e. make oneself poor by an effort of one's spirit. The beautiful Gospel symbol expresses the deepest philosophical truth: Blessed are the poor in spirit for theirs is the kingdom of heaven. These words become clear only if taken in the sense of renunciation of the material world. 'Poor in spirit' does not mean poor in the material sense, in the everyday meaning of the word; and it certainly does not mean poverty of the spirit. Spiritual poverty is renunciation of matter, such 'poverty' when a man has no ground under his feet and no sky over his head.

                       Foxes have holes, and birds of the air have nests, But the Son of man hath not where to lay his head. This is the kind of  poverty when a man  is  completely alone, because  he begins to see other people, even the most near to him, his father, his mother, not as he saw them before, but differently, and renounces them because he  sees  real entities towards which he  strives, just as in  renouncing the phenomenal phantasm of the world he approaches that which is truly real. The moment of transition, the terrible moment of the loss of the old and the unfolding of the new was depicted in ancient literature in an infinite number of allegories. The purpose of the Mysteries was to make this transition easier. In India,  in  Egypt, in Greece there existed  special  preparatory rituals, sometimes only symbolical, sometimes real,  actually leading the soul to the very doors of the new world, and opening these doors at the  moment  of  initiation.  But  external rites and  ceremonies  could not  by  themselves create initiation. The chief work had to go on within the soul and the mind of man.

            How then can logic help man to pass to the consciousness of this new higher world? We  have seen that mathematics has  already found a way into this higher order of things. Penetrating there, it first of all renounces its fundamental axioms of identity and difference. In the world of infinite and fluid magnitudes a magnitude can be not equal to itself; a part  may be  equal  to the  whole;  and of equal magnitudes  one may  be infinitely greater than another. All this sounds like an absurdity from the point of view of the mathematics of finite and  constant numbers. But the very mathematics of finite  and  constant  numbers is a calculation of relationships among non-existent  magnitudes, i.e.  an  absurdity. Therefore,  only that which seems  an  absurdity from the point of view of this mathematics can be the truth.

Logic goes through the same process. It has to renounce itself, arrive at the necessity of its own annihilation - and then a new and higher logic may arise from it. In his Critique of Pure Reason Kant proved the possibility of a transcendental logic. Before Bacon and before  Aristotle, in  ancient Indian scriptures there were  given formulae of that  higher logic  which unlocked  the doors of the  mysteries.  But the meaning of these formulae was soon lost. They were preserved in ancient books, but only as some strange mummies of extinct thought, words without real content. New  thinkers  again re-discovered these principles,  expressed them in new words. But  again they remained not understood, again they turned into some useless verbal ornament. But the idea continued. Belief was never lost in the possibility of finding and establishing the laws of the higher world.  Mystical philosophy never regarded Aristotelean logic as all embracing or omnipotent. It built its systems outside logic or above  logic, unconsciously, following  the lines of thought laid  down in the deepest antiquity.

      Higher logic  existed before  deductive and  inductive logic was  ever formulated. Higher logic may be called intuitive logic, the logic of infinity, the logic of ecstasy. This logic is not only possible, but it exists, and has existed from time immemorial; it was formulated many times; it entered as a key into philosophical systems - but in some strange way it was not recognized as LOGIC. The system of this logic can be deduced from a great many philosophical systems. I find the most exact and the fullest formulation of this logic in Plotinus, in his treatise  'On Intelligible Beauty'. I shall quote this passage in the following chapter. I have called the system of higher logic 'TERTIUM ORGANUM', because for us it is the third instrument or the third law of thought after Aristotle  and Bacon. The first was ORGANON, the second NOVUM ORGANUM. But the third existed before the first. A man possessing this key can open the doors of the world of causes without fear. 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. Taking the axioms of Aristotle as a model, we may express the principal 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. And when we come up against this in-expressibility, it means that we have come into contact with the world of causes. The logical formula A is both A and not A corresponds to the mathematical formula: a magnitude can be greater or lesser than itself. The absurdity of both these propositions shows that they cannot refer to our world. Naturally, absurdity does not, by itself, indicate that a thing belongs to noumena. But  the fact of belonging to noumena will necessarily be expressed for us in absurdity. 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 withthe laws of  the  world of  shadows, or stereometry  in  accordance with  the laws of planimetry.

   To master the main principles of higher logic means to master the fundamentals  of  the understanding of higher-dimensional space or  the  world of the miraculous. In order to come to a clear understanding of the relations of the many-dimensional world, we must get rid of all the 'idols' of our world (to use Bacon's expression); in other words we must get rid of all the obstacles to a right perception and thinking. And above all we must have an inner kinship with the world of the miraculous. In  order to come to the understanding  of the  three-dimensional world, a two­ dimensional being must  already be three-dimensional,  and then  get free 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? First of all - and this is most important - it must get rid of the conviction that what it sees and senses  actually  exists; and  as a result it must  become aware of the incorrectness of its representation of the world, and then of the idea that the real, new world must exist in some quite different forms, new, incomparable, incommensurable with the old. Further, 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 one from another, may be a part of some whole incomprehensible to it, or  that they may  have much in common,  although this may not be noticed; whereas  things which seem one and indivisible, are actually infinitely complex and manifold.

          The mental growth of the two-dimensional being must proceed along the line of the recognition of those common properties of objects, unknown to it before, which result from their similar origin or similar functions, incomprehensible on a plane. Once the two-dimensional  being has recognized the possible existence  of  common properties, formerly unknown  to it,  in objects which  appear different, it has already come near to our understanding of the world. It has come near to our logic, has 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 itself it gives to all surrounding objects.  For it every object has its own proper name, corresponding to its own representation of that object; it has no common nouns corresponding to concepts. It is only by getting rid of  these 'idols' and understanding that nouns may be both proper and common that it will be able to advance further, to develop mentally, to approach the human understanding of the world. Otherwise, the simplest sentence, such as:

                                           John and Peter are both men 

will be an absurdity for a two-dimensional being. In its own representation it will take approximately the following form: 

                                               John and Peter are both John and Peters. 

In other words, every logical proposition of ours will seem an  absurdity to it. It is
clear why this should be so. It has no concepts; proper names which make up its speech, have no plural. It is clear that the plural of our speech will seem to it an absurdity. But where are our 'idols'? What  must  we get rid of in order to pass on to  the understanding of relations in the many-dimensional world? First  of  all  we  must get  rid of the  conviction  that we see and sense  that which actually exists and that the real world is similar to the world we see. In other words, we must get rid of the illusion of the material world. We must understand with mind all the illusory nature of the world we perceive in time and space and understand that the real world can have nothing in common with it. We  must understand that  we  cannot represent to ourselves the real world in forms;  and  then  we  must understand the conditional nature of the axioms of our mathematics  and logic relating to the unreal, phenomenal world. In mathematics the  idea of infinity  will help us to do this. The unreality of finite magnitudes  as compared  with  the infinite is self-evident. In logic we  may  base our thought on the idea of monism, i.e. the fundamental unity of everything existing, and  consequently adopt as our starting point the impossibility of constructing any axioms consisting of contrapositions, theses and antitheses, on which our logic is based. 

 The logic of Aristotle and Bacon is fundamentally dualistic. If we are deeply imbued with the idea of monism, we shall conquer the 'idol' of this logic. The fundamental axioms of our logic may be reduced to identity and contradiction, in the same way as mathematical axioms. At the basis of them all lies the acceptance of one general axiom, namely, that every given something has something opposite to it. Consequently, every proposition has its contra-position, every thesis has its antithesis. To the being of every thing is opposed the non-being of that thing. To the being of the world is opposed the non-being of the world. Object is opposed to subject. Objective world - to the sub-jective world. Not  'I' is  opposed to  'I'. Immobility  - to  motion. Variability - to constancy.  Multiformity - to unity. Falsehood - to  truth. Evil  - to  good. And, in conclusion, to every A in general is opposed not A. The recognition of the reality of these divisions is necessary for the acceptance of the fundamental  axioms of  the  logic of Aristotle  and Bacon.  In other  words, this  logic requires an absolute and incontestable acceptance of the idea of the duality of the world- dualism. The recognition of the  unreality of these divisions and of the unity of all opposites is necessary for the beginning of understanding of higher logic.

In the very beginning of this book the existence of the WORLD and of INNER LIFE was 'admitted', in other words, the reality of a dual division of everything existing, because all other contrapositions are derived from this contraposition. Duality is the condition of our perception of the phenomenal (three-dimensional) world; it is the instrument of our perception of phenomena. But when we  come to the perception of the noumenal  world (or the world of many dimensions), this duality begins to stand in our way, to become an obstacle to knowledge. Dualism is the chief 'idol' we have to get rid of. In order to understand the relations of things in three dimensions and in our logic, a two-dimensional being must renounce the 'idol' of the absolute uniqueness of objects which requires it to call things only by their proper names. We, in order to understand the world of many dimensions, must renounce the idol of duality. 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,  we should be prepared to find that all  attempts to express super-logical relations in our language will appear absurd, and actually will only hint at what we wish to convey. Thus the formula:


                             A is both A and not A or
                         Everything is both A and not A


 representing the fundamental  axiom of higher logic,  as expressed in our languageof  concepts, sounds an  absurdity from the  point of view of our ordinary  logic,  and is essentially untrue. We  must be prepared for the fact  that  it is impossible to  express superlogical relations in our language. The formula 'A is both A and not A' is untrue because in the world of causes the very contraposition of 'A' and 'not A' does not exist But we cannot express their real relation. It would be more correct to say,
A is all But this also would be untrue, because A is not only all, but also any part of all, and at the same time a given part This is exactly what our language cannot express And it is exactly to this that we must tram and accustom our thought. We must become accustomed to the thought that separateness and combination are  not opposites in the real world, but exist together and at the same time, without contradicting each other. We must realize that in the real world the same thing can be both a part and the whole, i.e. that the whole, without changing, can be its own part.

          We must understand in general that there are no contrapositions and that each thing is a certain archetype of the all. Having begun to understand this we shall begin to grasp separate ideas concerning the essence of the 'noumenal world' or the world of many dimensions in which we actually live. In such a case the higher logic, even with the imperfect formulae -crude as they may appear in our language of concepts - represents a powerful instrument of cognition of the world, the only means of preserving us from illusions. The application of this instrument of thought gives the key to the mysteries of nature, to the world as it is. Let us try to enumerate the properties of the WORLD OF CAUSES which may be derived from everything said so far.

            It is first of all necessary to emphasize that it is impossible to express in words the properties of the world of causes. Every thought which is expressed about them will be untrue. It can be said about the real world that (in relation to it) 'a thought expressed in words, is a lie'. One can speak about it only conditionally, approximately, by hints, by  symbols. And,  if anything said  about it is understood  literally, it will  become an absurdity. Generally speaking,  everything expressed in  words about  the world  of causes may  seem absurd  and  is actually  already a  distortion. Truth cannot be expressed. The most one can do is to hint at it, to give an impetus to the thought. But everyone must find truth for himself, by himself. 'Someone else's' truth is worse than a lie, because it is - two lies. This also explains why truth can only be expressed in the form of a paradox, or even in the form of a lie. 

   To speak of truth without lies we must know some other language. Our language is not suitable. What then  can we say in our  language  about the world of many dimensions, the world of noumena or the world of causes?  

1 In this world 'TIME' must  exist spatially, i.e. time events must exist  and not take place. In other words, they must exist both before and after their accomplishment and lie, as it were, on the same plane. Effects must exist simultaneously with causes. What we call the law of causation cannot exist there, because the necessary condition for it is — time. There can be nothing there measurable by years, days and hours. There can be no  before, now and  after. Moments  of different  epochs, divided by long stretches of time, exist simultaneously and may be adjacent. At the same time 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. But the length of the moment may be different on different planes.

 2There is nothing there measurable by our measures, nothing commensurable with
our solids, nothing that is more or less than our solids. There is nothing lying to the
right  or  the left,  above or below our solids. Nothing resembling our solids, lines or
figures. Yet, at the same time, all this may be. 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.  There is no matter there, nor motion. There is nothing that may be weighed or photographed, or expressed in formulae of physical energy. There is nothing that has form, colour or smell. Nothing possessing the qualities of physical bodies. 
               
                  At the same time, with the understanding of certain laws, the properties of the world of causes may be studied in the categories which have been enumerated.
 There is nothing dead or unconscious there. Everything lives, everything breathes,
everything thinks, everything feels, everything is conscious and everything speaks.
 Axioms of our mathematics cannot be  applied in that world,  because  there  is
nothing finite there. Everything there is infinite and, from our point of view, variable. Laws of our logic cannot operate there. From the point of view of our logic that world is outside logic. It is the domain the laws of which  are  expressed in TERTIUM ORGANUM. 7 The multiplicity of our world cannot exist there. Everything is the whole. And every separate speck of dust, let alone every separate life and every conscious being, lives  one life  with  the  whole and  includes  all the
whole in itself. 8 In that world there can be none of the duality of our world. Being there is not opposed to non-being. Life is not opposed to death. On the contrary, the
one includes the other. Unity  and multiplicity, motion and immobility; oneness and divisibility, good and evil,  truth  and falsehood - all  these divisions are  impossible there.  Everything subjective is  objective, and everything  objective is subjective.  That world  is the  world of the  unity of opposites. 9 The sense of the reality of that world must be accompanied by a sense of the unreality of this world. At the same time no difference between the real and the unreal can exist there, just as there cannot be any difference between the subjective and the objective. 10 That world and our world are not two different worlds. The world is one. That which we call our world is only our incorrect representation of the world, the world seen through a narrow slit. We begin to sense that world as
the miraculous, i.e. as something opposed to the reality of this world. At the
same time this world, the earthly world, begins to appear unreal.
11 But everything said so far will not define our relation to that world, so
long as we do not realize that even in comprehending it we will not embrace
it in its entirety, i.e. in all the variety of relations existing within it, but will
think of it only in one or another aspect.
12 What has been said about the world of causes refers also to the All. But
between the world and the All there may be many transitional stages.



Translation: Nicholas Bessaraboff 
and Claude Bragdon
and  published by Bragdon's
Manas Press in 1920


Monday, August 20, 2012

M.C Escher: Engravings (1898- 1972)


     The 
         Graphic 
                Work


      Anyone who applies himself, from his early youth, to the practice of graphic techniques may well reach a stage at which he begins to hold as his highest ideal the complete mastery of his craft. Excellence of craftsmanship takes up all his time and so completely absorbs his thoughts, that he will even make his choice of subject subordinate to his desire to explore some particular facet of technique. True enough, there is tremendous satisfaction to be derived from the acquisition of artistic skill and the achievement of a thorough understanding of the properties of the material to hand, and in learning with true purposefulness and control to use the tools which one has available - above all, one's own two hands! I myself passed many years in this state of self-delusion. But then there came a moment when it seemed as though scales fell from my eyes. I discovered that technical mastery was no longer my sole aim, for I became gripped by another desire, the existence of which I had never suspected, Ideas came into my mind quite unrelated to graphic art, notions which so fascinated me that I longed to communicate them to other people. This could not be achieved through words, for these thoughts were not literary ones, but mental images of a kind that can only be made comprehensible to others by presenting them as visual images. Suddenly the method by which the image was to be presented became less important than it used to be. However, one does not of course study graphic art for so many years to no avail; not only had the craft become second nature to me, it had also become essential to continue using some technique of reproduction that would enable me to communicate simultaneously to a large number of my fellow men that which I was aiming at.  If I compare the way in which a graphic sheet from my technique period came into being with that of a print expressing a particular train of thought, then I realize that they are almost poles apart. What often happened in the past was that I would pick out from a pile of sketches one which seemed to me suitable for reproduction by means of the same technique that was interesting me at that moment. But now it is from amongst those techniques which I have to some degree mastered, that I choose out the one which lends itself more than any other, to the expression of the particular idea that has taken hold of my mind.
Concentric rinds, 1954 wood engraving

Nowadays the growth of a graphic image can be divided into two sharply defined phases. The process begins with the search for a visual form that will interpret as clearly as possible one's train of thought. Usually a long time elapses before I decide that I have got it clear in my mind. Yet a mental image is something completely different from a visual image, and however much one exerts oneself, one can never manage to capture the fullness of that perfection which hovers in the mind and which one thinks of, quite falsely, as something that is "seen". After a long series of attempts, at last - when I am just about at the end of my resources - I manage to cast my lovely dream in the defective visual mould of a detailed conceptual sketch. After this, to my great relief, there dawns the second phase, that is the making of the graphic print; for mow the spirit can take its rest while the work is taken over by the hands. In 1922, when I left the school of Architecture and Ornamental Design in Haarlem, having learnt graphic techniques from S. Jessurun de Mesquita; I was very much under the influence of this teacher, whose strong personality certainly left its mark on the majority of his pupils. At that period the woodcut (that is to say the cutting with gouges in a side-grained block of wood, usually pear) was more in vogue with graphic artists than is the case today. I inherited from my teacher his predilection for side-grained wood, and one of the reasons for my everlasting gratitude to him stems from the fact that he taught me how to handle this material. During the first seven years of my time in Italy I used nothing else. It lends itself, better than the costly end-grained wood, to large-side figures. In my youthful recklessness I have gouged away at enormous pieces of pearwood, not far short of three feet in length and perhaps two feet wide. It was not until 1929 that I made my first lithograph, and then in 1931 I tried my hand for the first time at wood-engraving, that is to say engraving with burins on an end-grain block. Yet even today the woodcut remains for me an essential medium. Whenever one needs a greater degree of tinting or colouring in order to communicate one's ideas, and for this reason has to produce more than one block, the woodcut offers many advantages over wood-engraving, and there have been many prints I could not have produced had I not gained a thorough knowledge of the advantages of side-grained wood. In making a colour-print I have often combined both of these raised relief techniques, using end-grain for details in black, and side-grain for the colours. The period during which I devoted such enthusiasm to my research into the characteristics of graphic materials and during which I came to realize the limitations that one must impose on oneself when dealing with them, lasted from 1922 until about 1935. During that time a large number of prints came into being (about 70 woodcuts and engravings and some 40 lithographs). 

The greater number of these have little or no value now, because they were for the most part merely practice exercises; at least that is how they appear to me now. The fact that, from 1938 onwards, I concentrated more on the interpretation of personal ideas was primarily the result of my departure from Italy. In Switzerland, Belgium and Holland where I successively established myself, I found the outward appearance of landscape and architecture less striking than those which are particularly to be seen in the southern part of Italy. Thus I felt compelled to withdraw from the more or less direct and true to life illustrating of my surroundings. No doubt this circumstance was in a high degree responsible for bringing my inner visions into being. On one further occasion did my interest in the craft take the upper hand again. This was in 1946 when I first made the acquaintance of the old and highly respectable black art technique of the mezzotint, whose velvety dark gray and black shades so attracted me that I devoted a great deal of time to the mastery of this copper-plate intaglio, a process that has today fallen almost entirely into disuse. But before long it became clear that this was going to be too great a test of my patience. It claims far too much time and effort from anyone who, rightly or wrongly, feels he has no time to lose. Up to the present I have, in all, produced no more than seven mezzotints, the last one being in 1951.  I have never practiced any other type of intaglio. From the moment of my discovery, I have deliberately left etching and copper-plate engraving to one side. The reason for this can probably be traced to the fact that I find it preferable to delineate my figures by means of tone-contrast, rather than by linear contour. The thin black line on a white background, which is characteristic of etching and copper-engraving, would only be of use as a component part of a shaded area, but it is not adequate for this purpose. Moreover, with intaglio, one is much more tied to white as a starting point than is the case with raised relief and planography. The drawing of a narrow white line on a dark surface for which raised relief methods are eminently suitable, is practically impossible with intaglio, while on the other hand, a thin black line on a white background can be satisfactorily achieved, albeit as a rather painstaking operation, in woodcuts and wood-engravings. The ideas that are basic to them often bear witness to my amazement and wonder at the laws of nature which operate in the world around us. He who wonders discovers that this is in itself a wonder. By keenly confronting the enigmas that surround us, and by considering and analyzing the observations that I had made, I ended up in the domain of mathematics. Although I am absolutely without training or knowledge in the exact sciences, I often seem to have more in common with mathematicians than with my fellow artists.





       
                   On reading over what I wrote at the beginning of this introduction, about the particular representational character of my prints, I feel it may be rather illogical to devote so may words to it, not only here but also beside each separate reproduction as well. It is a fact, however, that most people find it easier to arrive at an understanding of an image by the round-about method of letter symbols than by the direct route. So it is with a view to meeting this need that I myself have written the text. I am well aware that I have done this very inadequately, but I could not leave it to anyone else, for - and here is yet another reason for my astonishment - no matter how objective or how impersonal the majority of my subjects appear to me, so far as I have been able to discover, few if any of my fellow-men seem to react in the same way to all that they see around them.