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Single Idea 3338

[filed under theme 6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers ]

Full Idea

Dedekind and Peano define the number series as the series of successors to the number zero, according to five postulates.

Gist of Idea

Numbers have been defined in terms of 'successors' to the concept of 'zero'

Source

report of Giuseppe Peano (works [1890]) by Simon Blackburn - Oxford Dictionary of Philosophy p.279

Book Ref

Benardete,José A.: 'Metaphysics: The Logical Approach' [OUP 1989], p.279