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From: Archimedes Plutonium on 4 Oct 2009 02:08 Reading what Wikipedia outlines as a proof of the transcendental nature of "e" --- quoting a part of the proof outline Wikipedia --- Assume, for purpose of finding a contradiction, that e is algebraic. Then there exists a finite set of integer coefficients satisfying the equation: and such that c0 and cn are both non-zero. Depending on the value of n, we specify a sufficiently large positive integer k (to meet our needs later), and multiply both sides of the above equation by , where the notation will be used in this proof as shorthand for the integral: We have arrived at the equation: which can now be written in the form where The plan of attack now is to show that for k sufficiently large, the above relations are impossible to satisfy because is a non-zero integer and is not. --- end quoting partial Wikipedia --- Sorry about that, for the format of Wikipedia is not conducive to copy and paste. From what I gather from the above is that transcendental proofs follow my hunch that they are Indirect NonExistence. And that the 5 Regular Polyhedron proof is Direct NonExistence. I believe that only the Direct NonExistence is a valid proof method and not the Indirect NonExistence. Archimedes Plutonium www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |