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lukas-prokop.at | ||
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jiggerwit.wordpress.com
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| | | | What follows are the opening paragraphs of a pdf document giving an argument for controlled natural languages in mathematics. At the recent Big Proof 2 conference in Edinburgh, I realized that a case must be made for developing a controlled natural language for mathematics. There is little consensus on this issue, and mathematicians and computer... | |
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math.andrej.com
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xorshammer.com
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| | | | There are a number of applications of logic to ordinary mathematics, with the most coming from (I believe) model theory. One of the easiest and most striking that I know is called Ax's Theorem. Ax's Theorem: For all polynomial functions $latex f\colon \mathbb{C}^n\to \mathbb{C}^n$, if $latex f$ is injective, then $latex f$ is surjective. Very... | |
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gavinhoward.com
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| | I have found a lot of programmers that do not understand the Halting Problem and its implications, so here is my attempt to fix that. |