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Not everyone is agreed on this but Peano's axioms, which are the basis for the axiomatic structure of numbers defines 0 as a natural number and then all other natural numbers in terms of successors.

  • 0 is not a successor of any natural number.
  • 1 is the successor of 0 is 1 = S(0)
  • 2 = S(S(0))
  • 3 = S(S(S(0))) and so on.
Accordingly, the first natural number is 0.
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