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Single Idea 2521

[from 'Realistic Rationalism' by Jerrold J. Katz, in 6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism ]

Full Idea

Three objections to realism in philosophy of mathematics: mathematical objects have no space/time location, and so no causal role; that such objects are determinate, but reference to numbers aren't; and that there is no abstract/concrete distinction.

Gist of Idea

'Real' maths objects have no causal role, no determinate reference, and no abstract/concrete distinction

Source

Jerrold J. Katz (Realistic Rationalism [2000], Int.xxix)

Book Reference

Katz,Jerrold J.: 'Realistic Rationalism' [MIT 2000], p.-6