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Single Idea 17799

[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

In Cantor's new vision, the infinite, the genuine infinite, does not disappear, but presents itself in the guise of the absolute, as manifested in the species of all sets or the species of all ordinal numbers.

Gist of Idea

Cantor's infinite is an absolute, of all the sets or all the ordinal numbers

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 Idea

Idea 17797 Cantor extended the finite (rather than 'taming the infinite') [Mayberry]