more from Aristotle

Single Idea 9788

[catalogued under 18. Thought / E. Abstraction / 3. Abstracta by Ignoring]

Full Idea

Mathematicians abstract properties which are conceptually separable from the world of change. It makes no difference if you treat them as separate, in the sense that it does not result in error.

Gist of Idea

Mathematicians study what is conceptually separable, and doesn't lead to error


Aristotle (Physics [c.337 BCE], 193b33)

Book Reference

Aristotle: 'Physics', ed/tr. Waterfield,Robin [OUP 1996], p.36

A Reaction

This strikes me as a crucial point to make against Frege (if Aristotle is right). Frege hates abstractionism precisely because it is psychological, and hence admits subjective error, instead of objective truth. Does 'pure' abstraction avoid error?