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Joseph_Knecht comments on Joy in Discovery - Less Wrong
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Caledonian: Every mathematical statement is a claim about the behavior of the physical world.
Please interpret the following statements for me in terms of the behavior of the physical world, and tell me which branch of physics deals with the behavior of each:
* The cardinality of the set of real numbers is greater than the cardinality of the set of natural numbers.
* The continuum hypothesis is independent of ZF and ZFC set theory.
* There are no solutions to the equation a^n + b^n = c^n for non-zero integers a, b, and c and integer n > 2.