Combining Philosophers

Ideas for Herodotus, Eileen John and Alan Musgrave

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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic

10058	No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
	Full Idea: The axiom of Peano which states that no two numbers have the same successor requires the Axiom of Infinity for its proof.
	From: Alan Musgrave (Logicism Revisited [1977], §4 n)
	A reaction: [He refers to Russell 1919:131-2] The Axiom of Infinity is controversial and non-logical.