Re: Cantor and the binary tree

Tony Orlow (aeo6) wrote:


The subsequent conclusion that the reals are not "countable" rests on the notion that all countably infinite sets are the same size, which is an assumption that I reject for many reasons, and which has no justification besides "oo=oo=oo".

Will you stop this sloppy nonsense and listen. Let two sets A, B be in one to one correspondence with the integers N by the mappings f and g respecitive then f : N ->A, g : N ->B. since f and b are bijections
f_inverse maps A to N and the composition (g(f_inverse)) maps A onto B in a 1-1 fashion which means A is equivalent to B. QED.

Now go away and learn some mathematics.

Bob Kolker

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