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Aug 13, 2010 at 13:06 comment added Thierry Zell I don't think it is accurate to say that "Godel was the first to expose this difficulty". Brouwer was on record a constructivist some 20+ years before Godel's incompleteness theorem was published. It's the crisis in the foundations itself that sent mathematicians scrambling for fixes, one of which being the restricted use of excluded middle.
Apr 15, 2010 at 10:09 comment added Sidney Raffer @Niel: Yes, and Cohn, it seems, was a passionate formalist..... Which goes to show how questionable it is to draw philosophical conclusions from mathematical results.
Apr 15, 2010 at 8:07 comment added Niel de Beaudrap Of course, Gödel himself seems to have been a Platonist --- he thought that his result showed the poverty of formalism, and motivated the necessity of a direct cognitive link to the Platonic realm, for discovering mathematical truth!
Apr 14, 2010 at 22:07 history answered Sidney Raffer CC BY-SA 2.5