more from Shaughan Lavine

Single Idea 15947

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

Full Idea

My proposal is that the concept of the infinite began with an extrapolation from the experience of indefinitely large size.

Gist of Idea

The infinite is extrapolation from the experience of indefinitely large size

Source

Shaughan Lavine (Understanding the Infinite [1994], VIII.2)

Book Reference

Lavine,Shaughan: 'Understanding the Infinite' [Harvard 1994], p.248


A Reaction

I think it might be better to talk of an 'abstraction' than an 'extrapolition', since the latter is just more of the same, which doesn't get you to concept. Lavine spends 100 pages working out his proposal.