Combining Philosophers

Ideas for Luitzen E.J. Brouwer, Michael Potter and Lloyd Morgan

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

17882	It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter]
	Full Idea: It is a remarkable fact that all the arithmetical properties of the natural numbers can be derived from such a small number of assumptions (as the Peano Axioms).
	From: Michael Potter (Set Theory and Its Philosophy [2004], 05.2)
	A reaction: If one were to defend essentialism about arithmetic, this would be grist to their mill. I'm just saying.