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There are five of them, also known as Peano's axioms:

  1. 0 is a number.
  2. If n is a number then n's successor is a number.
  3. 0 is not the successor of a number.
  4. If two numbers have successors that are equal then the numbers themselves are equal.
  5. If S is a set that contains 0 and also the successor of every number that is in S then every number is in S.
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12y ago

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