more from A.George / D.J.Velleman

Single Idea 10134

[catalogued under 6. Mathematics / C. Sources of Mathematics / 8. Finitism]

Full Idea

It is possible to use finitary reasoning to justify a significant part of infinitary mathematics.

Gist of Idea

Much infinite mathematics can still be justified finitely


A.George / D.J.Velleman (Philosophies of Mathematics [2002], Ch.8)

Book Reference

George,A/Velleman D.J.: 'Philosophies of Mathematics' [Blackwell 2002], p.219

A Reaction

This might save Hilbert's project, by gradually accepting into the fold all the parts which have been giving a finitist justification.