back to ideas for this text


Single Idea 17797

[from 'What Required for Foundation for Maths?' by John Mayberry, in 6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite ]

Full Idea

We may describe Cantor's achievement by saying, not that he tamed the infinite, but that he extended the finite.

Gist of Idea

Cantor extended the finite (rather than 'taming the infinite')

Source

John Mayberry (What Required for Foundation for Maths? [1994], p.414-2)

Book Reference

'Philosophy of Mathematics: anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.414


Related Ideas

Idea 17798 Cantor presented the totality of natural numbers as finite, not infinite [Cantor, by Mayberry]

Idea 17799 Cantor's infinite is an absolute, of all the sets or all the ordinal numbers [Mayberry]