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Infinite tetration and superroot of infinitesimal
Since it is my beloved thread, I will allow this - without no mathematical language at all(allmost):

Our learned and intuitive notion that mathematics are creatively limited are based on fact that the part of MATH that deals with OPERATIONS (motions) was essentially left undeveloped since infinity and divergence was forbidden and engineering took over "exact" sciences. In principle, You should be able to "differentiate" operation to get a new one by a set of rules that is not more complicated than normal math, just contra intuitive. You just need a space of operations, space of structures (which we know are set infinity apart from each other, but dynamically interacting) and some correspondence set between them by (infinite/finite?) set of observer functions. As there are 3 of them , there will always be scales at which they are not in balance, so uniqueness and certain unpredictability at certain scales will be present still.

In this sence, 1/2 is a dynamical balance point between pure Operation (only motion) and pure Number ( only Structure) while Observer functions are in no way in symmetric balance- in fact, thay have infinite number of balances on both sidesof this balance. They are like ropes, roots, that hold this 1/2 balance in place, rooted in both Operation dominated (motion ,infinitesimal, SQ, imaginary ) and structure dominated ( number, above quantum, negative) spaces.

Messages In This Thread
RE: Infinite tetration and superroot of infinitesimal - by Ivars - 02/05/2008, 10:58 AM

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