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From: Archimedes Plutonium on 4 Mar 2010 02:17 With this book's revelations, I lose some aspects of the AP-adics book. I do not lose the famous formula: Euclidean geometry = Elliptic unioned Hyperbolic geometries That formula is a symmetry-breaking of Euclidean geometry into two NonEuclidean geometries. We can sense this symmetry in the idea that a concave inwards cancels a concave outwards curve or arc leaving behind a straight line segment as pictured by )|( What I do lose was all that talk (chatter) about doubly-infinites, infinite strings rightwards and infinite strings leftwards. I lose the notion that the geometries have intrinsic numbers that associate with those geometries. I lose the formulas such as Doubly-Infinites = +AP-adics unioned Reals and other combinations of number systems. With the revelation of what infinity is, I can no longer expect any association of intrinsic number systems with geometry. Since all numbers have a finite string both rightwards and leftwards. There are no infinite strings of digits to a number. All numbers have finite strings ending with either 10^500 or 10^-500. Infinity is negative numbers. But I am glad I did the AP-adics book because it was a harbinger of the success of this book. Archimedes Plutonium www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |