### Equal Numbers

All Numbers are Equal

To prove all numbers are equal.

Choose a & b, and let t = a + b.

Then

a + b = t

(a + b)(a - b) = t(a - b)

a^2 - b^2 = ta - tb

a^2 - ta = b^2 - tb

a^2 - ta + (t^2)/4 = b^2 - tb + (t^2)/4

(a - t/2)^2 = (b - t/2)^2

a - t/2 = b - t/2

a = b

Thus, all numbers are equal. Why?

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