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coalg.org
| | entics.episciences.org
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| | bartoszmilewski.com
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| | This is part 9 of Categories for Programmers. Previously: Functoriality. See the Table of Contents. So far I've been glossing over the meaning of function types. A function type is different from other types. Take Integer, for instance: It's just a set of integers. Bool is a two element set. But a function type a->b...
| | francisbach.com
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| | www.logicmatters.net
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| "Our external physical reality is a mathematical structure." That's how Wikipedia sums up the cosmologist Max Tegmark's mathematical universe hypothesis. Looks as if some conceptual untangling is needed. Scott Aaronson makes a great start in a wonderful blogpost here.