John, List: > On Jan 17, 2017, at 8:38 AM, John F Sowa <[email protected]> wrote: > > Yes, but mathematicians never assume that any terms have universally > accepted definitions. They never say "set theory" by itself. > Even the qualifications ZF or VNBG in front of "set theory" are > not sufficient. In any publication, mathematicians have to be very > specific about the slightest details of notation and punctuation.
I concur, generally speaking.. As members of unique discipline, mathematicians are particularly anal with regard to fastidious patterns of usage of symbols. Of course, I agree with your sentence: > Yes, but mathematicians never assume that any terms have universally > accepted definitions. but possibly because an unintended meaning that the sentence conveys. Would you like to re-phrase it? The next sentence: > They never say "set theory" by itself. is a tad of an over-statement. The following sentence: > In any publication, mathematicians have to be very > specific about the slightest details of notation and punctuation. is also very typical of a mathematician speaking about their craft. But, in practice, it is an ideal that is only approached by a few. Every discipline has its own peculiar “culture” of self-image or ideal competencies. My first true discipline, biochemistry, had a pithy summary of its cultural style of communication: A biochemist speaks chemistry to the biologist, biology to the chemist, sex when among themselves! :-) Cheers jerry
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