more from Penelope Maddy

Single Idea 18187

[catalogued under 6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits]

Full Idea

Even the fundamental theorems about limits could not [at first] be proved because the reals themselves were not well understood.

Gist of Idea

Theorems about limits could only be proved once the real numbers were understood


Penelope Maddy (Naturalism in Mathematics [1997], I.2)

Book Reference

Maddy,Penelope: 'Naturalism in Mathematics' [OUP 2000], p.27

A Reaction

This refers to the period of about 1850 (Weierstrass) to 1880 (Dedekind and Cantor).