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Ideas for 'A Résumé of Metaphysics', 'Commentary on Euclid's 'Elements'' and 'Mathematics is Megethology'

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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers

10808	Mathematics is generalisations about singleton functions [Lewis]
	Full Idea: We can take the theory of singleton functions, and hence set theory, and hence mathematics, to consist of generalisations about all singleton functions.
	From: David Lewis (Mathematics is Megethology [1993], p.03)
	A reaction: At first glance this sounds like a fancy version of the somewhat discredited Greek idea that mathematics is built on the concept of a 'unit'.

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique

10815	We don't need 'abstract structures' to have structural truths about successor functions [Lewis]
	Full Idea: We needn't believe in 'abstract structures' to have general structural truths about all successor functions.
	From: David Lewis (Mathematics is Megethology [1993], p.16)