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fubarobfusco comments on Open thread, Dec. 8 - Dec. 15, 2014 - Less Wrong Discussion
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A number is anything that acts numbery under certain operations.
Integers are very numbery. Reals are pretty numbery. Polynomials and matrices are still pretty numbery. Strings and graphs are somewhat less numbery. Rubber chickens are scarcely numbery at all.
"What is a mathematical operation?" is maybe a better question.
Inspired by this, I am going to come up with an amazing new philosophical theory of truth based on Perl.