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All Numbers Are Equal & f+ S% \% @. M8 o* h; Z8 ^3 J0 N
Theorem: All numbers are equal. Proof: Choose arbitrary a and b, and let t = a + b. Then
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+ j; \! j! @4 ^2 b7 c; da + b = t
4 o6 I: D, P; Q1 O, j: k(a + b)(a - b) = t(a - b)
F" R& x# F, s' @% I5 Ma^2 - b^2 = ta - tb+ d; G l+ w+ K( }
a^2 - ta = b^2 - tb
8 I8 f, o, L% F. B) a# ]a^2 - ta + (t^2)/4 = b^2 - tb + (t^2)/4
2 S- v2 u# |/ R, |! Z$ p9 b' v& N(a - t/2)^2 = (b - t/2)^2
8 \2 q9 Q; f# _9 {. Na - t/2 = b - t/26 D q/ ?# v2 R9 v& m" H4 M, U
a = b
. b& c- O. R' m3 g7 W) K: D3 g6 q5 C. D/ R! Q' [* J
So all numbers are the same, and math is pointless. |
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