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scottaaronson.blog | ||
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rjlipton.com
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| | | | Demons and other curiosities Pierre-Simon Laplace was a French scientist, perhaps one of the greatest ever, French or otherwise. His work affected the way we look at both mathematics and physics, among other areas of science. He may be least known for his discussion of what we now call Laplace's demon. Today I want to... | |
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cornellmath.wordpress.com
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| | | | When discussing the validity of the Axiom of Choice, the most common argument for not taking it as gospel is the Banach-Tarski paradox. Yet, this never particularly bothered me. The argument against the Axiom of Choice which really hit a chord I first heard at the Olivetti Club, our graduate colloquium. It's an extension... | |
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rjlipton.com
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| | | | How important is it to take sides in complexity? Barry Mazur has contributed to many areas of mathematics for many decades. His paper "Modular curves and the Eisenstein ideal" and related work furnished key ideas for Andrew Wiles' ultimately-successful strategy on Fermat's Last Theorem. Today Ken and I want to discuss how well we guess.... | |
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mycqstate.wordpress.com
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| | In a previous post I reported on the beautiful recent result by Natarajan and Wright showing the astounding power of multi-prover interactive proofs with quantum provers sharing entanglement: in letters, $latex {\text{NEEXP} \subseteq \text{MIP}^\star}&fg=000000$. In this post I want to report on follow-up work with Ji, Natarajan, Wright, and Yuen, that we just posted to... |