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About Face Again - Part One
The Butt-head's Prominence In 'Modern' Art

© John Fudjack and Patricia Dinkelaker - February, 2000


Introduction
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section one

In Escher's Liminocentric Eye we've shown how Escher in at least one painting created a warped pictoral space that has an obvious liminocentric structure. The picture's OUTERMOST frame is represented as also appearing at the center of its own INNERMOST recesses. As we mentioned in that paper, in the kind of structure that we call liminocentric contextual 'levels' of organization are permitted to cross in a way that offends the principle that some philosophers would invoke as the quintessence of logic - that what is 'contained' cannot itself contain its own 'container', to paraphrase what they would say on the subject. But others have argued that to merely outlaw such structures in this way - by definition, as it were - is simply to 'beg the question' regarding their existence.

Interestingly, when we permit ourselves to conceive of such structures we recognize at once that they have some rather interesting properties - properties that could only be

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described as paradoxical. First and foremost amongst these would be the obvious fact that 'content' and 'context' - or 'figure' and 'ground' - may not always display the simple, straitforward relationship that we have come to assume that they have by virtue of our everyday experience. Sometimes reality will offend our expectations, in the way suggested by the Escher picture to the left - in which each hand is shown drawing the other. A 'contextual inversion' takes place, not unlike what Bergson and Yeats were trying to get at when they spoke about interpenetrating orders of existence (see About Face). If Bergson, Yeats and others are correct, this may indeed be the feature that characterizes the FUNDAMENTAL nature of our experiential reality as human beings.

In any case, this feature IS a consequence of liminocentric organization, as Escher clearly recognized. And it runs through his work like an unbroken, albeit twisted, thread.

Escher not only explored what we would call liminocentrically structured space, he also delighted in portraying the other side of the same coin - the paradoxical object. One of these - the mobius strip - we examined
"Mobius Strip", by Escher

in the answer (in Saving Face) to the 3-D puzzle that we recently presented (in Losing Face). Escher was indeed fascinated by these peculiar mathematical objects, and a number of variations of the mobius strip appear in his paintings. Our puzzle, which demonstrates how a closed circular ribbon that is two-sided (i.e., 'bilateral') can be coiled so as to create a mobius strip, a closed circular ribbon that is one-sided (i.e., 'unilateral'), shows how a reconciliation between 'the one' and 'the many' (and also 'linear' and 'paradoxical' structures) might be conceived in mathematical terms, and represented graphically.

In the present paper we want to show how Picasso (1881-1973) sought ways of depicting similarly reconciled incommensurable orders. Like Henri Bergson (1859-1941) attempted to do before him, and Yeats after him (see About Face - Part Three), Picasso tried to picture an interpenetration of opposites that would turn out to be

'... by 1932, Picasso was treating twin-sighted profiles like an antomical norm.' (Steinberg, page 199)
not unlike the interpenetration of gender-related opposites that Jung, quite some time later, would find occuring in interpersonal relationships.

Picasso's efforts involved him in an exploration of what 'sidedness' really is. It also inevitably led him to a deep investigation of paradox and paradoxical structure - although this may not be quite so obvious in his paintings as it is in Escher's. When, however, we see in Picasso's work an attempt to express on canvas what it is like to experience a liminocentrically structured consciousness, various seemingly diverse elements in his work come together.

In his attempt to find a way of articulating on canvas what he, as an introverted intuitive, felt about how experience is essentially structured, Picasso would, by the end of the first decade of the twentieth century, have already explored -

  • the use of 'serpentination' (twisting a figure back to front) to represent both 'sides' simultaneously;

  • the method with which we have come to associate the word 'cubism' (1907-1912) - whereby a perspectival deconstruction of the object is followed by a reconstitution of it that combines perspectives in such a way as to incorporate ambiguity and paradox into the object, and suggest a higher level synthesis of it which is purported to take place in a larger 'fourth' dimension; and

  • the use of opposing 'styles' in the same painting, juxtaposed in a complex manner that depicts 'interpenetrating' orders of existence; Compare this to where Jung (1875-1961) was at the same point in time. In 1910, he had not yet split with Freud. This would eventually happen, but not for another three years. And it would not be until then that the 6-year retreat would begin, in which Jung would embark upon his now famous introverted-intuitive explorations into mandala painting and 'active imagination'. There is a famous dream that Jung had during this post-Freudian period; it has a liminocentric structure that is almost as obvious as the one in the painting that we discuss in Escher's Liminocentric Eye. It was what Jung called a 'big' dream - one of the most important events of his inner life. And although he commented in detail on the dream, and its significance, he failed to even mention this interesting structural feature - a fact which suggests that he either did not notice it, or did not consider it of much consequence. 2

    So the thesis that we want to put before you, in other words, is that here is an instance in which art anticipated science, as Shlain 3 maintains has often been the case throughout history. Unfortunately, this foreshadowing would be accomplished in a fashion the significance of which has, to date, gone largely unrecognized. 4. We would furthermore suggest that Picasso (and the entire 'modern art movement' in which he undeniably figured as a central influence 5) was not merely exploring conjectures about the physical structure of material objects, but the very shape of the experiential space in which human consciousness itself abides.

    And so, in this way, the modern art movement might be said not only to have anticipated Jung in significant ways, but also to have prefigured a post-Jungian psychology that has yet to emerge - one in which consciousness itself is conceived as complex and liminocentrically structured.

    Section One - A Bit of History
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    section two

    The poet Apollinaire (1880-1918) was a close personal friend of Picasso's and a mentor of the young surrealist Andre Breton(1896-1966). It was Apollinaire who coined the word 'surrealism' in 1917 6, and it was he who 'discovered in the works of the cubists the fourth dimension of reality, which he deemed not only a proof of creativeness but of divinity'. 7 'This new dimension,' says Anna Balakian, 8

    ... was conveyed by simultaneous representations in various perspectives, giving the impression of the immensity of space which overflowed in all directions at the same time and suggested the infinite. (Balakian, Surrealism: the road to the absolute, 1959, page 59).

    Both the Dadaist movement (1916 - 1924) 9 and Surrealism (1924-1940) embraced Picasso as a valued predecessor. They adopted as their own many of the concerns that he had succeeded in introducing into art. But Picasso himself did not operate in a cultural vacuum, and it would be unwise to give him sole credit for having fashioned the issues with which he grappled. Nadia Choucha demonstrates, for instance, how in the project that Surrealism inherited from Picasso (the 'joining of two distinct realities on the same plane') the influence of the mystic Swedenborg (1688-1772) also deserve recognition.

    Swedenborg's writings were first translated into French in 1820. His theories were to be highly influential upon writers and artists. Swedenborg proposed that the natural world corresponded to a spiritual plane, and that this spiritual plane could be perceived by making connections between diverse objects, entities, and phenomena - by using analogy. (Choucha, page 8) [For more on the topic of analogy, see our discussion of trope in Picking Ourselves Up By Our Bootstraps - Non-linear Nesting Orders in Myth and Ritual]

    In this context she describes how the poet Alfred Jarry (1873-1907), another friend of Picasso's, had developed a pseudo-science that he called pataphysics, which not only 'asserted the identity of opposites', but also spoke of objects that are paradoxically 'at the same time bigger and smaller' than themselves. She also mentions how Breton, following Jarry, described 'a point where opposites cease to be perceived as contradictory'. This idea, according to Choucha, was 'derived from occult theory (particularly Levi's writing on Cabalism) as well as from Jarry.' (Choucha, 18).

    To understand how this reconciliation of incommensurable orders actually works, Breton also tapped into what the poet Pierre Reverdy (1889-1960) had to say on the subject in 1918. Balakian tells the story:

    Reminiscing about Reverdy's discussions of the nature of the poetic image, Breton esteems him as an even more important theoretician than Guillaume

    "Magritte's (1898-1967) love of paradox was not merely capricious. It was motivated by a profound metaphysical distrust of all non-paradoxical assertions about reality. Such assertions are always the product of a limited and partial experience." (Robert Witkin, page 184)
    Apollinaire. In Le Gant de Crin Reverdy had defined the image as the spontaneous meeting of two very distant realities whose relationship is grasped solely by the mind. Reverdy, moreover, observed that the more remote the relationship between the two realities, the stronger became the resulting image. On the other hand, the power or even the life of the image was threatened if it were to be totally acceptable to the senses. Following this line of thinking, Breton finds that comparison is therefore a poor axis for the image, and that a radical modification is necessary in the very structure of the analogy. The surrealist image has to be a far-fetched chance encounter of two realities whose effect is likened to the light produced by the contact of two electrical conductors. In the ordinary image, the terms of which are chosen on the basis of similarity, the difference in potential between them is negligible and no spark results. [In the surrealist image] the greater the disparity, the more powerful the light... Images constructed according to this notion would contain a dose of absurdity and that element of surprise, which, in the opinion of Guillaume Apollinaire, was to be one of the fundamental resources of the modern mind. This type of poetic imagery rises on the same foundation as the 'fortuitous meeting', in the words of Max Ernst, of two objects in a surrealist painting as we shall note in detail in the following chapter. (Balakian, pages 121-22).

    What is of particular interest to us in this passage is the idea that it must be in the very STRUCTURE of the analogy created by the juxtaposition of incommensurable images that the 'modification' producing the sur-realist image, capable of transcending the sensory world, must occur. This structure will therefore involve an element of paradox or 'absurdity' (not to mention 'chance' 10.) This is significant, of course, because it comes very close to saying that the type of 'structure' in which Reverdy and the Surrealists were interested is the type we would call liminocentric.

    By virtue of what is said in the above paragraph it is clear that the 'surrealist image, almost by definition, displays paradox. Breton himself gives further evidence of this when, in his formal classification of surrealist images, he includes 'contradictions', 'images in which one of the terms of the image is hidden', 'images that lend to the abstract the mask of the concrete', and 'images that imply the negation of some elementary physical property'. (123-127, Balakian). The last category bears a curious resemblence to the point that Hofstadter would later make, in 1979 (see Saving Face), when he expressed the hunch that if a physical system isomorphic with consciousness is to be found, it is very likely to be one that somehow negates its own existence in the same way that the socalled 'liar's paradox' (i.e., the sentence which states 'This sentence is false') deems itself to be false.

    The pursuit of objects of the sort spoken of by Reverdy and Breton, which Balakian calls 'original' objects, 'became a collective preoccuptation of the surrealists in all fields of artistic expression':

    Miro populated his paintings with these strange forms, contingent with each other though completely incompatible .... Giacometti actually constructed new objects, tactile in their suspended position, dimensionally accurate as an engineer's composition, but intended to satisfy a dream-need rather than a rational one. ... Tanguy displays versatile, unexpected juxtapositions, confusing our sense of porportion [and] creating discordances in form through the promiscuity of incompatible shapes. (Balakian, 157)

    These were pieces in which the 'the container... and the thing contained... achieved an entirely new reality as a new object.'

    The debt that these artists owed to Picasso, which we hope to make clear in the remainder of this paper, was often readily acknowledged by the artists whom he influenced. By infusing paradox into the fundamental structure of the object, Picasso would blow it up and out, into a four dimensional space. As Balakian put it on one occasion -

    Early in the century Apollinaire had discerned that the essential intention of the cubists was an almost metaphysical leap in space lifting the object from nature's frame and reorienting it in the infinite. (Balakian, page 142)

    Section Two - Twisted Sisters
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    footnotes

    According to art critic Leo Steinberg (1972) the 'Three Graces' by Antonio Federighi (1420-90) is -

    ... a cool, deliberate exposition of anterior and posterior aspects. Endlessly copied in Roman times, the group was enthusiastically revived in the Renaissance and remained a staple of official art. It comes as a surprise to discover that this late Hellenistic invention survives into the twentieth century as no other antique has been able to do. The Three Graces inspire Gauguin, Matisse, Delauney, Maillol, Lehmbruck, and Braque. They are constant in Picasso's oeuvre where, from 1905 onward, they reappear in almost every period. It was their two-dimensional about-face routine which allowed the Three Graces to survive the flattening of twentieth-century art. (Steinberg, pages 179-180)

    When one looks closely at Federighi's painting it is easy to see how it's structure resembles that of the t'ai-gi-tu (or 'yin-yang' symbol), the profound and paradoxical nature of which we have described elsewhere. In both, there is a left-right division that splits the whole in two, in such a way that what is on the right side mirrors what is on the left, but also REVERSES it in a rather odd way, by turning it front to back.

    And although, in the Federighi painting, the anterior and posterior aspects of the three graces are shown side by side, sometimes what is called 'serpentination' - a twisting of one figure, so that its front and back can be viewed simultaneously - is used to achieve a similar effect.

    'Some of the effects exploited by the cubists were known to art for a long time,' says Gombrich (1960, page 283), 'though they remained in comparative obscurity as decorative devices'. So, although it was surely not Picasso who invented 'serpentination' -


    from Picasso's DEMOISELLES
    "In a note to Vasari acknowledging the gift of a drawing, Aretino (1540) praises a certain nude which, 'bending down to the ground, shows both the back and the front'. He was describing a figure of hairpin design, a variant of the figura serpentinata". (Steinberg, 186)

    Nor he who would be the last to use it -


    from recent 'calendar art'
    "Pin-up models posing for calendar art tend to work up a figura serpentinata, and their photographer, if he as a sense of his craft, knows just how much expository rotation is wanted to meet the terms of an 'eyeful'." (Steinberg, 186)

    It was Picasso who would explore it most thoroughly. Not only by 'borrow[ing] every known form of serpentination from the stores of the past' (Steinberg, 18), but by pushing the technique further and deeper - in ingenious ways that would constitute a profound investigation into 'perspective' the likes of which the world had not seen since the Renaissance. This, as Steinberg points out, would indeed render the term 'serpentination' somewhat of an understatement, a misnomer. Serpentination was only one facet of a larger project that Picasso had in mind.

    The apparent versations of his serpentine poses are not athletically self-induced, but rather the pretext for his own implusive visualization of three-dimensional form. Picasso's line traps a hidden dimension - like a horizon, at every point of which the mind can zoom in. ... A meander of three-dimensional reference collapses into a one-dimensional line. (Steinberg, page 189) [see Saving Face for an example of how a two-sided figure can be similarly 'trapped' in a one-sided figure, and A Conversation with Physicist Brian Greene for a discussion of hidden dimensions in contemporary 'string theory'.]

    According to Steinberg (page 190) it was as if Picasso wanted to become 'circumspicuous', wanted to see with 'circumambient sight' as it were. He apparently wanted to make 'visual rays [bend] around corners' - which is precisely what happens in an Einsteinian world when space is radically warped around densely packed matter and light rays are trapped in a circular motion that does not permit them to reach our eyes - thus creating holes from which light cannot escape, the 'black' holes that we hear so much about in physics.

    Gombrich asks an interesting question: Why is such a project worth trying? A very good question, indeed. For not only is 'the idea of a simultaneous fore-and-aft image absurd and irrational,' as he points out, 'even if it succeeded, its effect would be either illegible or else a reduction to flat processed data - departing further than ever from its goal, the total grasp.'

    It is unjust to look at cubism 'mainly as a device to increase our awareness of [physical] space,' Gombrich concludes, in his book Art and Illusion, and insofar as that WAS its aim, 'it should be pronounced a failure.' (Gombrich, Art and Illusion, page 283)

    Yet Picasso persisted, insisting that front and back would emerge in his image simultaneously without sacrifice of real presence - the thing to be known as a sculptor knows his creation before he withdraws his hand; or as an orbiting, all-seeing eye might apprehend it; or as the thing knows itself from within - or is known to an embrace gifted with sight. ... It is a new world he makes in the 1940s. (page 201) 11

    In trying to understand the purpose of Picasso's project does it help to point out, as Kandinsky did, that cubism has as its aim the de(con)struction or 'dematerialization' of the object? -

    [Picasso] has achieved the logical destruction of matter, not, however, by dissolution but rather by a kind of parcelling out of its various divisions and a constructive scattering of these divisions about the canvas. (Kandinsky, page 18)

    But perhaps it was something more fundamental than either the physical object, or physical space, that Picasso was exploring. Could it be that he was trying to describe a liminocentrically structured experiential space? We submit that it was primarily as a result of his attempt to do this - not only in cubism, but in his pre-cubist serpentination experiments, and his post-cubist explorations of interpenetrating orders - that modern art can be said to have discovered more complex, less linear, relationships between figure and ground. And this, in particular, is what makes his project both 'significant' and 'worth trying'.

    It was Picasso's early efforts in this area that paved the way for others. Take, as an example, the manner in which Escher (1898-1972) later employed figure/ground reversals (such as in the painting below). Each of the two different types of object (the white and black bird) emerges out of the other, as paradoxical as this might at first appear. And each is somehow made to 'include' or envelope the other - provide a context, a setting or 'set', against the background of which the other appears.


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    In this way context and object are made to overlap in complex and curious ways, reminiscent of how Braque defined cubism. 'Frames in flight', he called it.

    In earlier art,' Gombrich explains, 'the figure had to stand out unambiguously against the ground.' But in cubism, 'even coherent forms are made to play hide-and-seek in the elusive tangle of unresolved ambiguities.' (237). 'The function of representational clues in cubist paintings is not to inform us about guitars and apples,' Gomrich correctly observes, 'nor to stimulate our tactile sensations.' Their function is 'to narrow down the range of possible interpretations till we are forced to accept the flat pattern with all its tensions'. (286)

    And it is the 'frequent reversals' of figure and ground in cubism that have the result of 'forcing out attention' to a plane on which those tensions are brought starkly into relief and must continue to abide - unresolved at it were, if we are to believe Gombrich. Our attention is not permitted to come to rest in the spaces created by cubism. It is kept moving, in the same way that the whirling pattern in certain Roman floor mosaics set us 'searching for a point of rest from which to start interpreting,' he points out. But we cannot find it. [For an analysis of a similar effect, caused by the meditational diagram that is called the Shri Yantra, see The Enneagram as Classic 'Double Mandala' - Part II - Shri Yantra, Kabbalah, and Inner Alchemy.]

    Our only recourse, in such a case - is to accept the tension, learn to remain within it. This is not unlike the position the Jungian psychotherapeutic patient finds himself in when encouraged to stew in the juices of his own diametrically opposing psychological 'sides'. But why? Because eventually this forces one to stand back far enough from the problem to break frame, and assume a slightly 'wider' perspective - a perspective in which the double-binding nature of the cues (in the painting, the relationship, or experience in general) can finally be acknowledged, allowing one to step out of the double-bind. By doing this one steps out of the framework which encourages one to naively seek resolution at a 'lower' level of description, where it is simply not possible. One is thereby hurled into a 'higher level' synthesis, which not only acknowledges contradiction, but INCORPORATES it, as paradox, into the very scheme of things. [See the section on 'integration' in About Face for further discussion of what such a synthesis entails.]

    The paradoxes that Escher presents, for instance, are not just attempts to entertain us with pictures of an alternate world constructed according to some strange non-Euclidean geometry. If they do surprise and entertain it is precisely because they seem to offer us a direct SUBJECTIVE experience of what living within a world constructed according to such a geometry would be like. They also - and this is perhaps even more significant - awaken in us the hunch that this is what our PRESENT world, at some very profound level of description, is really like. And not merely because the physical world, the 'world out there', is structured in such a bizarre manner, but because consciousness itself - the awareness with which we apprehend the world - is so structured.

    The kind of figure-ground organization that is depicted in these pictures - one in which figure stands ultimately in a PARADOXICAL relationship to ground - calls into question our everyday assumptions about how our experience is structured. 11 It does this in a way that is of course similar to the way in which Einsteinian physics calls into question our assumptions about the shape of physical space. But these paintings are more than second-hand representations of a strangely ordered physical world. They are, in effect, the traces left behind by human beings in their attempt to express the paradox that is at the CENTER of consciousness, built into its very structure.

    Modern art is not about optics, or even about how we REPRESENT the physical space in which our seeing takes place. It is about consciousness, and the shape of the EXPERIENTIAL space (if we are might be permitted to call it that) in which consciousness exists. It is the structure of THAT space which attracted the attention of the Modern artist, and it was the Modern artist who pioneered the investigation of the inter-relationships that obtain between its dimensions.

    In this way twentieth century art, although it may indeed have prefigured twentieth century physics in a rather startling manner, might nevertheless best be conceived as having anticipated (and, indeed, inspired) the twenty-first century psychology toward which we are now headed - one in which consciousness, and its complex and paradoxical structures, will take center stage.


    - Continue to Part 2 -

    Footnotes and References

    1. Leo Steinberg, Other Criteria: Confrontations with Twentieth-Century Art, 1972, (New York: Oxford University Press).
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    2. The dream in question is Jung's famed 'liverpool' dream. Jung began painting mandalas in 1918, near the end of the six year period in which he 'confronted' his 'unconscious'. About the liverpool dream he says: 'After this dream I gave up drawing and painting mandalas. The dream depicted the climax of the whole process of development of consciousness. It satisfied me completely, for it gave me a total picture of my situation.'

    Why was the dream fulfilling? How did it represent the 'climax of the whole process of development of consciousness'? Jung is somewhat vague on this point in his autobiography, and the dream is not, on its surface, terribly remarkable. In the dream Jung found himself in London, in a town square around which the quarters of the city were arranged. At the center of the square was a pool, in which there was an island, with a single tree. His companions in the dream commented on the 'other' Swiss who lived in the vicinity. 'I know very well why he has settled here,' Jung thought to himself in the dream, and then awoke.

    Jung comments -

    This dream brought with it a sense of finality. I saw that here the goal had been revealed. Once could not go beyond the center. This center is the goal, and everything is directed toward that center. Through this dream I understood that the Self is the principle and archetype of orientation and meaning. Therein lies its healing function. For me, this insight signified an approach to the center and therefore to the goal. Out of it emerged a first inkling of my personal myth. (Jung, Memories, Dreams, and Reflections, 198-199)

    But what is it about the 'center' that makes it such a marvelous place? What enables it to 'heal'? Jung leaves this unanswered. He did, however, make an interesting remark on the previous page, one that is rather easy to overlook because it is a comment that is curiously withheld until AFTER he has finished describing his dream in detail. Almost as an afterthought, he adds, 'On one detail of the dream I must add a supplementary comment: the individual quarters of the city were themselves arranged radially around a central point. This point formed a small open square illuminated by a larger street lamp, and constituted a small replica of the island'.

    On the significance of this detail, Jung does not comment. But it is obvious to anyone who has been sensitized to what a liminocentric structure is that this is precisely what is being represented in the dream - for at the very center of the island, one finds the island, as a whole, appearing as a small replica!

    It is rather remarkable that Jung does not comment on the meaning of this structural feature. And in the very next sentence he makes an assertion about the dream's structure that is actually ANTITHETICAL to what is implied by liminocentric structures. He says, 'one could not go beyond the center'. But in a liminocentrically organized space one is not only capable of going beyond the center (or, more accurately perhaps, 'through' the center), by doing so one winds up at the structures outermost fringe!

    Although Jung was apparently able to FEEL the importance of what this dream was showing him, he apparently resisted KNOWING what it was that was trying to emerge - namely, an insight into the quintessentially liminocentric structure of awareness.

    Jung could never have thought of consciousness itself as structured in a paradoxical manner, by the way, since he embraced a model of consciousness that would have prevented him from doing so - the one that Evans and Fudjack called the 'spotlight' model, which was not only the prevailing one at that time, but has remained the dominant model throughout the remainder of the twentieth century.

    So on those occasions on which Jung had glimmerings of the significance of paradoxical mental structures, he had no recourse but to speak of them as if they belonged to the 'psyche', something much wider and more inclusive than consciousness per se. This locates such structures outside of the scope of conscious experience. They no longer need be, in such a view, subjectively experiencable structures. For further discussion of the difference between these two approaches, see footnote 1 in "Enneagram as Mandala - Part I - Ego, Self, and Liminocentric Structures".
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    3. Leonard Shlain's intriguing thesis, that art anticipates emerging ideas in science, is articulated at length in his book Art and Physics: Parallel Visions in Space, Time, and Light [1991, (New York: William Morrow and Co., Inc.)].

    'Repeatedly throughout history', he says, 'the artist introduces symbols and icons that in retrospect prove to have been an avant-garde for the thought patterns of a scientific age not yet born.' The ideas that art anticipates, according to Shlain, are the ideas that constitute science's view of 'reality' (page 19).

    ... The connections between the art of one period and the physics of a later one become more apparent when examined retrospectively, looking all the way back to classical Greece. Sometimes the lag period is several hundred years; at other times it can be decades. In this century [the 20th], an auspicious conjunction between art and physics occurred in its first decade with both fields exploding into many new directions (page 24).

    It was at the beginning of the 20th century that physics was on the brink of a new era, and socalled 'modern' art was at its height. Whether or not it be true that shifts in scientific views of reality are ALWAYS temporally preceded by anticipatory movements in the arts, interesting parallel developments do at certain points appear to occur in these seemingly unrelated arenas. Perhaps both fields manifest larger shifts taking place at a profound level in the culture in which they were embedded. One such profound shift - affecting physics, art (... and also political reality, if we are to widen the scope of Shlain's thesis) did seem to occur in the early 1900s.

    In 1905 in Bern, Einstein engaged a friend, the mathematician Michelangelo Besso, in long conversations over coffee, struggling to understand how the world would look to someone sitting astride a beam of light or looking at it while traveling alongside it. After Einstein had the answer and before Minkowski defined the four-dimensional; manifold of spacetime, back in Paris Picasso was experimenting with a new way to conceptualize space and formulated just such a view early in 1907 (page 189). Einstein's paper on the subject of relativity was published in 1905. Picasso's Demoiselles D'Avignon, which is often identified by art historians as the single most important work of art in the 20th century, was painted in 1907.

    In his book Shamanism and the Modern Artist: Technicians of Ecstasy [1993, (Connecticut: Bramble Books)] Mark Levy attempts to show how the modern artist (and for him, this includes contemporary late-twentieth century artists) uses shamanic practices to enter non-ordinary realities. Levy's thesis intrigues, because the purpose with which the original shaman entered such realms was to heal. Contemporary Jungians delight in comparing Jung's methodology to shamanism, and Levy's thesis, by connecting art with shamanism, bridges the apparent gap between modern art and Jungian thought - lending further credence to our thesis that modern art foreshadowed Jungian psychology.
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    4. There are some very good sociological reasons for the fact that the parallel between science and modern art is not more widely recognized. For one thing, neither Jung nor Einstein appreciated modern art, and both resisted having their work compared to what was simultaneously going on in the art world.

    Although Jung knew nothing about modern art (and stubbornly insisted, late into his life, that he WANTED to know nothing about it), this did not prevent him from writing, in 1932, a scathing review of the 1932 Picasso retrospective. His analysis interpreted characteristic features of the artist's work as expressions of mental illness. This essay, in turn, brought Jung's knowledge of art under severe and vociferous criticism from representatives of the art world. Art critic Herbert Read would have known about this incident - to which he gently alludes when he remarks, in his 1942 book on art and Jungian typology (reviewed in About Face), that 'if Dr Jung had been [more] familiar with modern types of abstract art' he would have been able, in his book, Psychological Types, to give illustrations 'of a more definite nature' with respect to the Types of contemporary artists (page 103).

    Jung tended to stress HARMONY in the mandala (and in art in general) - as opposed to focusing on its paradoxical essence (as we have done, in The Enneagram as Classic 'Double Mandala' - Part II - Shri Yantra, Kabbalah, and Inner Alchemy) It was paradox, of course, which the Modern artist (and Picasso in particular) sought to explore. Jung found the presence of paradox in Picasso's work, as he admits in his 1932 essay, 'disturbing'. For these and other reasons of a personal psychological nature that we have dealt with in detail in another work, Jung failed to give the modern art movement the credit it deserved.

    In his attitude toward modern art Jung was in good company. Leonard Shlain argues that Einstein also had little or no interest in modern art, and did not appreciate or understand it (Shlain, page 201). Principal amidst the evidence that he provides in support of this claim, Shlain cites a 1934 observation made by Einstein, expressing a sentiment similar to the one articulated two years earlier by Jung -

    "The lack of outstanding figures is particularly striking in the domain of art. Painting and music have definitely degenerated and largely lost their popular appeal."
    Shlain concludes that it was Einstein's ignorance on the subject of modern art, and cubism in particular, that made the physicist 'unaware that he was living through one of the greatest artistic revolutions in history,' and unable to see the similarity between his work and what was happening in Cubism. 'To credit Einstein with knowing enough about Cubism to determine the nature and extent of its connection with his theory,' Shlain concludes, 'is too much to ask.'

    According to Shlain, Linda Dalrymple Henderson's The Fourth Dimension and Non-Euclidean Geometry in Modern Art is the book on this subject that is most impeccably researched. It was she who convincingly documented the fact, according to Shlain, 'that Cubist artists did not know anything about Minkowski's spacetime continuum, and that allusions in artistic literature to a fourth dimension are references to a fourth SPATIAL dimension'. Nevertheless, Shlain contends, despite the virtual absence of contact between the two fields, and the discrepancy regarding the specific nature of the fourth dimension, 'nowhere was [the] conjunction between revolutionary art and visionary physics sharper than the intersection of Einstein's relatively theory and Picasso and Braque's Cubism...' (Shlain, pages 202-203)

    [For more on this subject, see footnote #6, below.]
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    5. It can also be argued that Picasso, who was a major influence on Dadaism and Surrealism, was a principle vehicle for carrying the NF 'Romantic' and 'Symbolist' movements of the 19th century forward into the 20th century.
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    6. Nadia Choucha, Surrealism & the Occult: Shamanism, Magic, Alchemy, and the Birth of an Artistic Movement, 1991, (Rochester, Vermont: Destiny Books), page 28.
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    7. In the 1870s the German physicist Helmholtz had popularized the notion of an n-dimensional 'non-Euclidean' space. Nevertheless, as Shlain points out, 'Speculation about a higher dimension had no real meaning for most people because they could not see in their mind's eyes a new dimension of space that was perpendicular to the three of our familiar world. Looking at the corner of a room where the three perpendicular lines of adjoining walls and ceiling intersect dramatically concentrates the problem: Where would one insert a fourth perpendicular?' (For a very similar point, made recently by a contemporary string theorist, see A Conversation with Physicist Brian Greene). In 1880, mathematician E.A. Abbott published a novel entitled Flatland, in which a fictitious two-dimensional character is transported into a three-dimensional realm. Abbott's tale, as Shlain points out, encourages beings who live in a three-dimensional sphere to imagine what living in a four-dimensional reality would be like.

    At the turn of the century a spate of articles began appearing in popular publications encouraging laypeople to imagine the new geometries. These journalistic explanations culminated in 1909 when SCIENTIFIC AMERICAN sponsored an essay contest offering five hundred dollars to the winner who supplied the best lay reader account of the fourth dimension. Entries poured in from all over the world. Despite inventive conjectures and the many sophisticated credentials of the entrants, not a single one made any reference to Einstein's special theory of relativity. Neither did anyone mention Minkowski. The complete absence until 1919 of listings for 'Einstein', 'Minkowski', 'Relativity', and 'Spacetime' in the READER'S GUIDE TO PERIODICAL LITERATURE emphasizes how unlikely was the possibility that artists of the day could have known about spactime or relativity. Even though Picasso began work on his revolutionary Cubist work Les Demoiselles d'Avignon in 1907, no artist wrote about non-Euclidean space or the fourth dimension until 1911. The first reference in art appeared in a speech by poet Guillaume Apollinaire who took it upon himself to defend the new Cubist art against its many detractors. In his speech he spoke about young painters' preoccupation with the 'new measure of space, which in the language of the modern studios are designated by the term, fourth dimension.' (page 198)

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    8. Anna Balakian, Surrealism: The Road to the Absolute, 1959, (New York: Noonday Press).
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    9. The opening of the 'Cabaret Voltaire' in Zurich in February of 1916 marks the beginning of the Dadaist movement. The poster for the event adverstizes 'An evening with music, dance, manifestos, poetry, verses, paintings, masks and costumes presented by Hugo Ball 1886-1927), Emmy Hennings, Marcel Janco, Tristan Tzara, Georges Janco and Hans Arp (1887-1966). In 1916 Jung lived not far from the Zurich cabaret. He was in the middle of his 6 year period of introverted intuitive activities. He had not yet begun painting mandalas, and it would be years before Psychological Types would appear.

    10. This passage implies that these artists were also on a similar path to the one Jung investigated when, much later in his career, he would turn his attention to an investigation of what he called 'synchronicity'.
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    11. Steinberg continues: "Only one final wrench needed to establish the simultaneity image as a conjunction of diametric opposites. And it comes, beginning in mid-1940 - women's heads as instant convergences of front and back. ... The problem of front and back simultaneity is thus turned back-to-front. Instead of starting with the conceptually familiar frontface and wrenching the sides into view, Picasso now starts at the rear, which we tend to regard as provisionally averted, then brings the more readily welcomed elements of the facade around. Henceforth the full diametric span, the simultaneity of antipodal aspects, is the minimum program." (page 207)
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    'Escher's greatest fame stems from his clever manipulation of the elements of perspective,' says Shlain (237)-

    By creating this kind of visual paradox, Escher calls into question what before had been our clear understanding of the shape and nature of three-dimensional space and makes room in our imaginations to consider other kinds of geometry. (236)

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