Naturalism in Mathematics (Hardback)
  • Naturalism in Mathematics (Hardback)

Naturalism in Mathematics (Hardback)

Hardback 264 Pages / Published: 13/11/1997
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
Our much-valued mathematical knowledge rests on two supports: the logic of proof and the axioms from which those proofs begin. Naturalism in Mathematics investigates the status of the latter, the fundamental assumptions of mathematics. These were once held to be self-evident, but progress in work on the foundations of mathematics, especially in set theory, has rendered that comforting notion obsolete. Given that candidates for axiomatic status cannot be proved, what sorts of considerations can be offered for or against them? That is the central question addressed in this book. One answer is that mathematics aims to describe an objective world of mathematical objects, and that axiom candidates should be judged by their truth or falsity in that world. This promising view-realism-is assessed and finally rejected in favour of another-naturalism-which attends less to metaphysical considerations of objective truth and falsity, and more to practical considerations drawn from within mathematics itself. Penelope Maddy defines this naturalism, explains the motivation for it, and shows how it can be helpfully applied in the assessment of candidates for axiomatic status in set theory. Maddy's clear, original treatment of this fundamental issue is informed by current work in both philosophy and mathematics, and will be accessible and enlightening to readers from both disciplines.

Publisher: Oxford University Press
ISBN: 9780198235736
Number of pages: 264
Weight: 473 g
Dimensions: 224 x 144 x 20 mm

You may also be interested in...

Mathematical Methods in Engineering
Added to basket
The Man Who Knew Infinity
Added to basket
Defending the Axioms
Added to basket
Letters to a Young Mathematician
Added to basket
Rigor and Structure
Added to basket
Theory of Knowledge
Added to basket
The Number Sense
Added to basket
Thinking about Mathematics
Added to basket
Added to basket
Secrets of Infinity
Added to basket
Reading Natural Philosophy
Added to basket
Nature's Numbers
Added to basket


Please sign in to write a review

Your review has been submitted successfully.