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math.andrej.com
| | xorshammer.com
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| | Nonstandard Analysis is usually used to introduce infinitesimals into the real numbers in an attempt to make arguments in analysis more intuitive. The idea is that you construct a superset $latex \mathbb{R}^*$ which contains the reals and also some infinitesimals, prove that some statement holds of $latex \mathbb{R}^*$, and then use a general "transfer principle"...
| | 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...
| | 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...
| | blog.ploeh.dk
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| How can you both follow Command Query Separation and assign unique IDs to Entities when you save them? This post examines some options.