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www.lesswrong.com
| | unstableontology.com
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| | (note: one may find the embedded LaTeX more readable on LessWrong) The Löwenheim-Skolem theorem implies, among other things, that any first-order theory whose symbols are countable, and which has an infinite model, has a countably infinite model. This means that, in attempting to refer to uncountably infinite structures (such as in set theory), one "may...
| | pavpanchekha.com
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| | blog.sigfpe.com
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| | www.quantamagazine.org
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| Number theorist Andrew Granville on what mathematics really is - and why objectivity is never quite within reach.