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All Numbers Are Equal - V: n% X8 Z3 g% s" {
Theorem: All numbers are equal. Proof: Choose arbitrary a and b, and let t = a + b. Then
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, u _2 y7 J7 G: ?! Ia + b = t
8 h2 x9 \. B& k' O8 b8 d8 J(a + b)(a - b) = t(a - b): F1 a, }" \% X# J- o
a^2 - b^2 = ta - tb
2 ?+ a; q' P9 W6 x5 n' y* }a^2 - ta = b^2 - tb' ~6 @+ }+ B! [2 P# W1 ]/ |0 k
a^2 - ta + (t^2)/4 = b^2 - tb + (t^2)/4) Z: \' `2 a6 d6 h8 O. w& n
(a - t/2)^2 = (b - t/2)^2$ T) g b" K! M8 h* b0 e
a - t/2 = b - t/24 ]: H9 n7 i+ o8 {
a = b 0 r7 P/ I" s7 m. e% t% D, a& y' X/ \
- O5 k6 e' N7 I3 tSo all numbers are the same, and math is pointless. |
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