[FoM] What is a proof?
John T. Baldwin
jbaldwin at uic.edu
Tue Oct 28 20:49:24 EST 2003
William Tait wrote:
>
> On Oct 28, 2003, at 11:42 AM, John T. Baldwin wrote:
>
>
Baldwin wrote:
>>
>> Standard Definition. 1. A proof is a sequence of propositions each of
>> which is either an axiom or follows from those earlier in the list by
>> a rule of inference.
>
Tait wrote:
>
> John,
>
> You first raised an interesting question about the explanatory content
> of proofs---and THEN gave a definition of proof which for-ordained a
> negative answer. Your definition is `standard' only in logic textbooks
> which are interested, not in proofs, but in provability. I had
> intended to be improving your question.
Dear Bill,
Thank you; that is an excellent disctinction that is right on the mark.
Looking again at your note
I see that explicitly finding a witness does indeed speak to my
question. It seems to be more
a partial answer than improving the question.
John
More information about the FOM
mailing list