Question

Theorem: All positive integers are equal.

Answer 1

Proof: Sufficient to show that for any two positive integers, A and B, A = B.

Further, it is sufficient to show that for all N > 0, if A and B (positive integers) satisfy (MAX(A, B) = N) then A = B.

Proceed by induction.

If N = 1, then A and B, being positive integers, must both be 1. So A = B.

Assume that the theorem is true for some value k. Take A and B with MAX(A, B) = k+1. Then MAX((A-1), (B-1)) = k. And hence (A-1) = (B-1). Consequently, A = B.

Answer 2

Equal to waht, though?

Answer 3

to each other haha

Answer 4

Can't beat induction for obscuring the truth:-)

Answer 5

haha

Answer 6

i'm throwing a party for you joe

Answer 7

woo~