zero=one - Does Zero = One J.L.F King 19 October 2011(at...

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Does Zero = One ? J.L.F. King 19 October, 2011 (at 09:14 ) Erroneousification Here are various “proofs” 1 that zero equals one. Please find the errors/gaps in each. “Proof” e1. Note that 64 16 equals 4, justified by can- celling the sixes, 64 16 = / 64 1 / 6 = 4 1 note ==== 4 . Nothing is special about 4, and so 3 = 39 13 = / 39 1 / 3 = 9 1 note ==== 9 . Dividing gives 1 = 3. Subtract 1 from each side, then halve, to obtain 0 = 1. No Man Clay Ture. Henceforth, I call these vignettes Poofs ; when you look at the argument more closely, it just disappears. Poof e2. Write 0 = 1. So 0 = 1. Done. Poof e3. Write 0 = 1. Multiplying by 6 gives 0 = 6. Adding 3 gives 3 = 3, so squaring gives [3] 2 = [ 3] 2 ; that is, 9 = 9. Which is true! QED Poof e4. The 9 × 9 checkerboard can not be tiled by dominos, since 9 is odd. Neither can the 7 × 7 checkerboard ( same reason ), hence 7 = 9. Subtracting gives 0 = 2. Now divide by 2. 1 Arguments (e1) and (D) are my modifications of “puns” I’ve seen. Arguments (e2)–(e5), I’ve graded more times than I can count.
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