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Results tagged with mathematical-philosophy
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user 461
Philosophical aspects of logic and set theory; truth status of mathematical axioms; Philosophy of Mathematics; philosophical aspects of mathematics in general; relation of mathematics to philosophy; etc. Consider also posting at http://philosophy.stackexchange.com/, where philosophy-of-mathematics is one of the most popular tags.
100
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16
answers
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What if Current Foundations of Mathematics are Inconsistent? [closed]
The title of the question is also the title of a talk by Vladimir Voevodsky, available here.
Had this kind of opinion been expressed before?
EDIT. Thanks to all answerers, commentators, voters, an …
4
votes
Is PA consistent? do we know it?
Here are four quotes:
Quote 1. Vladimir Voevodsky
"To put it very shortly I think that inconsistency of Peano arithmetic as well as inconsistency of ZFC are open and very interesting problems in mat …