FOM: Chaitin and mathematical practice
charles silver
silver_1 at mindspring.com
Tue Mar 27 21:01:19 EST 2001
>>PPS. I believe that Boolos once gave a talk where he claimed that
Chaitin's
>>incompleteness result was a riff on the Berry paradox (i.e., "the
least
>>integer that cannot be named in fewer than thirteen words") in the
same
>>way that Goedel's incompleteness result is a riff on Russell's
paradox.
>> Does this sound familiar? Was it ever published?
>
>See "A New Proof of the Goedel Incompleteness Theorem", in Logic,
Logic,
>and Logic, pp. 383-8, at p.386. Boolos attributes the comparison to
Chaitin
>himself in "Computational Complexity and Goedel's Incompleteness
Theorem",
>AMS Notices17 (1970), p.672.
Also in Boolos & Jeffrey, 3rd ed. pp. 288-292.
Charlie Silver
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