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    Peano's axioms follow from those definitions under Frege'... — Carmelics
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    Supports→Frege's procedure can be reformulated as definitions of Peano's three primitives ('0', 'natural number', 'successor') and proofs of Peano's axioms

    Peano's axioms follow from those definitions under Frege's approach

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    Frege's procedure can be reformulated as definitions of Peano's three primitives...Frege's procedure defines or entails the content needed to characterize '0', 'na...

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    … we can put [Frege’s procedure] in the form of defining Peano’s three primitives ‘0’, ‘natural number’ and ‘successor’, and proving Peano’s axioms. … it is not necessary to use any axioms of set existence except in introducing terms of the form ‘NxFx’ and in proving (A), so that the argument could be carried out by taking (A) as an axiom.

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