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unstableontology.com | ||
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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"... | |
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www.cs.uic.edu
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thehousecarpenter.wordpress.com
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| | | | | NB: I've opted to just get straight to the point with this post rather than attempting to introduce the subject first, so it may be of little interest to readers who aren't already interested in proving the completeness theorem for propositional logic. A PDF version of this document is available here. The key thing I... | |
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rjlipton.com
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| | | An approach to consistency that could work... Kurt Gödel is feeling bored. Not quite in our English sense of "bored": German has a word Weltschmerz meaning "world-weariness." In Kurt's case it's Überweltschmerz. We have tried for over a month to get him to do another interview like several times before, but he keeps saying there's... | ||
