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axioms

  1. S

    Is the axiom of choice useful?

    This was brought up in another thread. Here is a post by W.D.Clinger. Wikipedia has a list of equivalent statements and theorems that follow from ZF+AC. I've heard of Tychonoff's theorem being important, but I've never really known why. The law of trichotomy for cardinal numbers and the...
  2. Stone Island

    Why Natural Philosophy (Science) is ********

    Axioms by Robert G. Brown of Duke University Physics Department: Why Science is ********:
  3. T

    Are axioms beliefs?

    Axioms might be beliefs that everyone considers self evident, but doesn't that still make them beliefs?

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