Zugswang in my proof of No Odd Perfect Numbers #675 Correcting Math
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From: Archimedes Plutonium on 14 Jul 2010 15:57 Zugswang is easily seen in the picture proof of Pythagorean theorem where no words are needed to make the proof but only a picture of 3 squares resting on the sides of a right triangle, and with the other attending pictures. But my proof that No Odd Perfect Number exists is another Zugswang proof. It forces without question the conclusion. All even perfect numbers start out their accounting with a 50% fill and then proceed to only have to add another 50% in combination. 6 is perfect because 50% + the combo of 1/6 +2/6 gives the other 50% But an odd number can only start filling with 1/3 and can only hope to receive two more 1/3 combos to make 100%. Here is the Zugswang, or zugzwang, In order to get the other two 1/3 combos, you end up with 1/3 + 2/3combos and it is that "2" in the numerator which means the odd number was not odd in the first place but was even. So that is why mathematics cannot have an Odd Perfect Number (other than 1). The proof forces the conclusion and we do not have to go searching through the proof to be convinced. Archimedes Plutonium http://www.iw.net/~a_plutonium/ whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |