Re: Cantor Diagonal Proof

On 11/04/2025 08:28, Lawrence D'Oliveiro wrote:

On Mon, 7 Apr 2025 06:51:02 -0400, Richard Damon wrote:
 

Your problem is you assume you can compute the nth value from the value
of n, but that requires you master algorithm include an infinite number
of algorithms in itself to choose from to build that number.

 But the Cantor construction assumes you can construct that list.

No, it proves that you can't.

So if you
object to the assumption of the existence of such a list, then you knock
down Cantor’s proof as well.

No, you just agree with the proof's conclusion. Cantor's diagonal demonstrates (by the age-old proof technique of reductio ad absurdum) that such a list cannot exist.
--
Richard Heathfield
Email: rjh at cpax dot org dot uk
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