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relatedwork.blogspot.com | ||
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sitr.us
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| | | | | Dependent types provide an unprecedented level of type safety. A quick example is a type-safe printf implementation. They are also useful for theorem proving. According to the Curry-Howard correspondence, mathematical propositions can be represented in a program as types. An implementation that satisfies a given type serves as a proof of the corresponding proposition. In other words, inhabited types represent true propositions. | |
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existentialtype.wordpress.com
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| | | | | It is well-known that constructivists renounce "proof by contradiction", and that classicists scoff at the critique. "Those constructivists," the criticismgoes, "want to rule out proofs by contradiction. How absurd! Look, Pythagoras showed that the square root of two is irrational by deriving a contradiction from the assumption that it is rational. There is nothing wrong... | |
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gowers.wordpress.com
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| | | | | It's been a while since I have written a post in the "somewhat philosophical" category, which is where I put questions like "How can one statement be stronger than an another, equivalent, statement?" This post is about a question that I've intended for a long time to sort out in my mind but have found... | |
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understandingsociety.blogspot.com
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| | | [AI summary] The author explores Ludwig Wittgenstein's philosophy as a potential source for new insights into the methodology, ontology, and understanding of social science and society. | ||
