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thatsmaths.com
| | njwildberger.com
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| | There are several approaches to the modern theory of "real numbers". Unfortunately, none of them makes complete sense. One hundred years ago, there was vigorous discussion about the ambiguities with them and Cantor's theory of "infinite sets". As time went by, the debate subsided but the difficulties didn't really go away. A largely unquestioning uniformity...
| | leanprover-community.github.io
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| | rjlipton.com
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| | Connections in mathematics: games and graphs John Nash is famous for his creation of what has become one of the central notions of modern game theory---his concept of what is a ``solution" for a non-zero sum game. For this work he was awarded the Nobel Prize in Economic Sciences in 1994, along with John Harsanyi...
| | 4gravitons.com
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| Listen to a physicist talk about quantum mechanics, and you'll hear the word "observable". Observables are, intuitively enough, things that can be observed. They're properties that, in principle, one could measure in an experiment, like the position of a particle or its momentum. They're the kinds of things linked by uncertainty principles, where the better...