[FOM] The Lucas-Penrose Thesis vs The Turing Thesis

hendrik@topoi.pooq.com hendrik at topoi.pooq.com
Sun Oct 8 06:17:00 EDT 2006

On Sat, Oct 07, 2006 at 04:12:27PM -0700, John McCarthy wrote:
> "A.P. Hazen" <a.hazen at philosophy.unimelb.edu.au> includes
>        Might not human mathematicians come to accept different
>      sets of set-theoretic sentences in the histories arising out
>      of the two sides of a split?
> Many worlds is not so exotic that a split might include
> Pythagoras's theorem one way and its negation the other.

Maybe not a split on Pytharoras's theorem, but a split between the 
measurability of real functions vs the axiom of choice is certainly 

-- hendrik

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