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Re: [PT] question on ND and sequents: msg#00000

science.mathematics.prooftheory

Subject: Re: [PT] question on ND and sequents


On May 31, 2005, at 12:28 PM, Adrian Rezus wrote:
> a small detail (prof. tait -- absent-minded this afternoon, likely
> -- was
> not very careful in stating such trifles, I guess!):

You are possibly right about my absent-mindedness: I can't remember.
But please tell me what I absent-mindedly overlooked in stating that
Gentzen's first consistency proof in effect involves a formulation of
natural deduction using sequents.

Your earlier posting on Lukasiewicz's invention of natural deduction
is interesting. Do you mean that he explicitly wrote down a complete
set of rules of inference governing sequents? (Studia Logica 1934 is
not easily available to me now.) Your reference to Hertz does not
reassure me on this point. Truth----I should probably say credit for
truth----is ultimately in the details one presents.

Sincere regards,

Bill Tait (I think)




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