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 aeon.co
More than argument, logic is the very structure of reality | Aeon Essays
| | njwildberger.com
A new logical principle | njwildberger: tangential thoughts
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| | We are supposed to have a very clear idea about the `laws of logic'. For example, if all men are mortal, and Socrates is a man, then Socrates is mortal. Are there in factsuch things as the "laws of logic"? While we can all agree that certain rules of inference, like the example above, are...
| | reasonableapproximation.net
Cliffs Notes: "Probability Theory: The Logic of Science", part 1
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| | blog.sigfpe.com
A Neighborhood of Infinity: Self-referential logic via self-referential circuits
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| | xorshammer.com
Doing Calculus on the Rationals (with the help of Nonstandard Analysis) - XOR's Hammer
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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"...