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Peano’s Axioms and Natural Numbers

Peano’s Axioms and Natural Numbers

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T= fn2N jifn2SˆN;thenShas a least elementg. CONSTRUCTION OF NUMBER SYSTEMS 7 Caution: Here Tis a xed set de ned as above. But, Sis a variable subset of N. I will leave it as an exercise to check that 1 2T. Next assume that n2T and …

  Number, Natural, Opean, Axiom, Peano s axioms and natural numbers

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