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Re: Mathematics as a language
Posted:
Nov 9, 2010 11:48 PM


I wrote:
>> Basically, our intuitions just aren't up to >> dealing with general set theory. (OC some claim theirs ARE.)
Transfer Principle <lwal...@lausd.net> responded:
> And I'm just wondering, does this "some claim theirs _are_" have > anything to do with "cranks," as in WM, AP, and so on?
Not necessarily at all. Those who claim their intuitions about sets are all well and good, include...
1: Many crackpots;
2: Many oridnary working mathematicians;
3: Some of the top logicians and set theorists of the past and present, including Godel and Woodin.
Of course, these groups may be further qualified...
(1) probably usually have a totally different concept of sets from everyone else;
(2) mostly couldn't give a toss one way or the other;
(3) mostly would be very chary of ascribing much personal confidence in their view of set ontology. The two mentioned are (I suspect) among a tiny minority.
 Workaday William



