In article <email@example.com>, "Peter Webb" <firstname.lastname@example.org> wrote:
> "Gerry Myerson" <email@example.com> wrote in message > news:gerry-D682F9.firstname.lastname@example.org... > > In article <email@example.com>, > > "Gene Ward Smith" <firstname.lastname@example.org> wrote: > > > >> I didn't see any signs, as far as I had gotten, that he even knows > >> anything about modern set theory. Does he? > > > > I don't know. > > > > I reject astrology, even though I don't know anything about modern > > astrology (I don't even know if there is such a thing). I reject > > "creation science" and "intelligent design," even though I haven't > > read any recent writings of their advocates. I don't have to; I > > know where they're going, and I know they're never going to get > > anywhere useful, going in that direction. > > > > I personally don't put set theory in the same category as astrology > > or creation science. > > Doesn't this undermine your whole analogy? Why didn't you pick an orthodox > theory like Evolution, Special Realtivity or Plate Techtonics as being the > theory he is attacking? (Set theory is every bit as well accepted as any of > these other topics). Because he looks less of a crank if you compare him to > attacking astrology than him attacking (say) the Theory of Evolution, even > though this is a much closer analogy?
In its day, phlogiston was a well-accepted theory. Alchemy was orthodox. So was spontaneous generation. Bright people, not cranks, spent a lot of time and effort trying to prove the parallel postulate. It's not unknown in the history of science, even of mathematics, for very good people to do a lot of work that makes later generations scratch their heads and say, why did they go down that blind alley? why did they even bother to think about those things?
It may be wrong to say that today's set theorists are yesterday's phlogiston theorists - but is it crankish?
Evolution - I've read statements along the lines of, "nothing in modern biology makes sense, without evolution." I've never read anything like, "nothing in modern mathematics makes sense, without ZFC." I read (and write) papers of mathematical research all the time that go on for pages and never mention ZFC, or large cardinals, or anything else that I recognize as coming from modern set theory. I think the analogy between evolution and set theory is overstated.
> Doesn't it worry you that a professional mathematician can write a paper on > set theory (that has "caused a bit of discussion in some logic circles") and > you can't tell from the paper if he actually "knows anything about modern > set theory" ?
If you haven't already guessed it, I know very little about modern set theory myself. It shouldn't be surprising that I can't tell whether someone else does.
-- Gerry Myerson (email@example.com) (i -> u for email)