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Áûñòðîâ Ì.Â.
It has come off! The epoch-making “handshake” between divine and scientific at last happened!

Oá àâòîðå

The divine mind is manifested as a set of
mathematical  laws that subject to nature
H.Weyl

The prominent Hungarian-born mathematician and father of modern computer architecture, John von Neumann (1903-57) once expressed an extraordinary idea - that any system with a sufficiently high degree of complexity presents its own description. And being, of course, exhaustive and the only correct one - unlike any description from outside – it can be given in different ways...

Perhaps, the unexpected example of that is a fractal. Indeed, despite pretty quite simple configuration, it stubbornly refuses to be "verbalized", and rather speaks for itself...

And all because a self-similar fractal being a hero of another novel written by not the discrete signs but by continuous fractal geometry, whose very graceful patterns are not made from the school geometric figures, but are self-produced and have "non-verbal evidence" ... These "wall paper patterns" are generated by the recursion of primitive functions or by even elementary programs. It is clear that a thought of mathematics or computer programmer is behind both...

Another and more striking case is our organism, the incompleteness of the “outside” description of which is evidenced by the differentiation of medicine - when some of its experts even though they know something in their sphere, but no one - about the whole ... The "unreduceable complexity" is peculiar to the permanent "subsystem" of the body - cell, stuffed with "nanotechnology" and capable of clever tricks even alone - and so it is compared sometimes with a miniature aircraft factory.

Logically, any descriptive statement entails the subject, which produces it, and the object of research may be also its own creation. Then the verbal description clearly reflects the intent of the creator...

This situation is realized in super-complex organism. Since we can not fully understand our own device even by virtue of a number of mathematical logic theorems, which linked truth with actual infinity, it remains only to appeal for transcendent authority, beyond which, of course, the Creator is conceived...

According to P. Florensky, "transcendental roots" of the being elements ñome to light only from the point of view of the transcendent itself, or, in other words, after the abrupt transition to the position from which we can contemplate the whole world as an unified integer linked to the single idea. In our opinion, it is precisely expressed completely by the wonderful symbol of beauty and harmony, familiar to almost everyone on the street. The point therefore is just not imposing the own description but, on the contrary, gazing at the available one...

A mysterious "manifested description" of Neumann expresses the specific essence, or form, according to Aristotle, who believed that in the biological sphere the three causes - the driving ("creative principle"), formal and purposeful one might coincide.

And the indisputable expediency of organism means its correlation with the integrity- which again joins in unity, on the one hand, the structure and functions, and on the other – the above-mentioned causes The resulting dynamic integrity turns out to be completely incomprehensible, being perceived by us rather with the aid of beauty than rationally. Notice, that Hegel also wrote about the becoming integrity...

So, to grab the integrity, which always rises by the idea (P. Florensky), some self-sacrificing “jump” of our thought is necessary - which inevitably leads to the recognition of objective thought superior in our one, towering over the world and placing it. It´s the central point!

Such a move has been long made in Revelation, and now we can pull up the science – one has only to look in a new fashion (from a spiritual point of view!), at some of its achievements. The constructive nature of undertaken "revision" is important, which aimed at an unprecedented alignment of two eternally opposing world views. But the result justifies the effort because it brings long-awaited harmonization and unity of our, alas, double minded thinking - fataly attracted to one of two hemispheres of the entire brain...

The absolutely global description of all presents itself to us through the well-known "Golden Proportion" (GP). According to Leonardo da Vinci, "the proportion is acquired not only in numbers and measures, but also in the sounds and… any force, whatever it is". He willingly undertook to illustrate the book of Luca Pacioli "De divine Proportione" - «On the Divine Proportion," and depicted, at leisure, the accentuated proportional " Vitruvian Man" with outstretched arms and legs, which wanders today from one publication to another.

The great Italian of Renaissance - Homo Universalis – hit the nail on the head : GP, which received its so obliging name from his easy hand, was related by us just to the main active force of God - his Spirit which causes the integrity of being. And for a breakthrough in the cognition quite a little required - to pass from the wonderful aesthetics of GP to its ontology, for the beauty and integrity are, as a matter of fact, the two sides of the same coin. But the magic of the first one, especially in the masterpieces of art, constantly overshadowed the modest Cinderella-like second hypostasis...

Even worse the things are going with a science – in general inexcusable ignoring our invariant of harmony. For the rationalist, the beauty, say, of organisms, looks completely useless in terms of their viability. However, even in plants exquisite fragrance and beauty of flowers irresistibly attract to them pollinator- insects ...

As if following them, it is necessary and for “left-hemisphere-minded man” to revive his emotive and illogical thinking. And then a wonderful feeling of the beautiful will "resonate" with a deep sense of the universe structure ... Is not the game worth the candle?!

One fluent glance at the expanded GP is enough - to become sure in elegant description by its numbers of transcendent whole! It combines surprisingly ancient and modern connotations, as each member of an infinite proportion contains the infinite fractal hierarchy of its components, which – in accordance with Cantor! – is of equal strength to the whole. So, the misty ancient Greek “all in one”, etc. is clearly and "numerically" illustrated .

It is appropriate to recall the words of P.Florensky, that nature and man are fully mutually similar being endless and ... may be ... part of each other ... moreover the portions are equal to each other and with the whole ... In the program work "By the watershed of thought" he really sang the praises to "golden section". However, 50 pages devoted to it appear to be separate in a body of his works...

Our "Russian Leonardo" aspired to a comprehensive "philosophical and mathematical synthesis"(!) adequately expressing his vision of the world, and moved for "integral knowledge" of V.Soloviev "in parallel" with N.Losskii and S. Frank.

The original monodualism of the latter calls for the supreme unity of the dual being – the doctrine designated sometimes as panentheism ("all in God"). It is noteworthy that the author of this term - German philosopher K.Krauze (1781-1832) - wrote about the divine integrity(!) of the universe. And now, after a couple of centuries, a "golden implication" of this intuitive surmise - advanced beyond the time - occurred to us! As a result, the total integrity and accepted criteria of harmony meet at the "theistic territory" and… became familiar with each other. It is a historic event!..

Reviewing the "philosophy of integrity" of Plato and Leibnitz, Schelling, and Hegel, as well as domestic "organicists" and up to contemporary advocates of holism, we can conclude the final of the regular throughout history, when the verbal approach, exhausted itself, was replaced with a triumph by the symbolic one.

The divine mathematical symbol showed the world integrity of the same name and thus paved the way for a new metaphysics, uniting religion and science. Indeed, the metaphysics rehabilitated itself in the capacity of “the most extensive and valuable of all the sciences” (G.Celler).

And, for a "techno-intellectual", who avoids lengthy words, the numbers and equations are obviously more acceptable - whose silent and thoughtful contemplation even akin to speculation. Just for the rested "technics" a lifebelt of "golden metaphysics" is thrown, which is able to take him out of the atheism darkness to the light of faith in the Creator, where even so already more "proselytes" from the exact sciences than from the humane ones come ...       


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Áûñòðîâ Ì.Â. (Bystrov Michael W), It has come off! The epoch-making “handshake” between divine and scientific at last happened! // «Àêàäåìèÿ Òðèíèòàðèçìà», Ì., Ýë ¹ 77-6567, ïóáë.20394, 23.03.2015

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