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Gödel and the Nature of Mathematical Truth

2005-06-21 19:01:59.005676+02 by Dan Lyke 0 comments

Gödel and the Nature of Mathematical Truth is an interesting talk with Rebecca Goldstein on how misunderstandings of Gödel (famous for "...a proof that showed that any formal system that is rich enough to express arithmetic will have a proposition which is true and unprovable") and Einstein (Relativity) got perverted and co-opted into post-modernism and the arguments against objective reality:

It spoke a lot about Nietzsche and Heidegger, but there were a few pages on relativity theory and the incompleteness theorems, arguing that the upshot of these results was that even in physics and mathematics there's no objective truth and rationality: everything is relative to man's point of view, and that the proofs of mathematics are incomplete because there's no foundation for mathematical knowledge. Everything is infected with man's subjectivity, leaving us no grounds for distinguishing between rational and irrational....

[snip]

And the irony is that both Einstein and Gödel—who had a legendary friendship when they were at the Institute for Advanced Study—could not have been more committed to the idea of objective truth.

[ related topics: Sociology Mathematics Philosophy ]

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