Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. For nearly a century, the axioms of set theory have played this role, so the question of how these axioms are properly judged takes on a central importance. Approaching the question from a broadly naturalistic or second-philosophical point of view, Defending the Axioms isolates the appropriate methods for such evaluations and investigates the ontological and epistemological backdrop that makes them appropriate. In the end, a new account of the objectivity of mathematics emerges, one refreshingly free of metaphysical commitments.
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Defending the Axioms: On the Philosophical Foundations of Set Theory
Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. For nearly a century, the axioms of set theory have played this role, so the question of how these axioms are properly judged takes on a central importance. Approaching the question from a broadly naturalistic or second-philosophical point of view, Defending the Axioms isolates the appropriate methods for such evaluations and investigates the ontological and epistemological backdrop that makes them appropriate. In the end, a new account of the objectivity of mathematics emerges, one refreshingly free of metaphysical commitments.
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Defending the Axioms: On the Philosophical Foundations of Set Theory
162
Defending the Axioms: On the Philosophical Foundations of Set Theory
162Paperback(Reprint)
$46.99
46.99
In Stock
Product Details
| ISBN-13: | 9780199671489 |
|---|---|
| Publisher: | Oxford University Press |
| Publication date: | 05/05/2013 |
| Edition description: | Reprint |
| Pages: | 162 |
| Product dimensions: | 5.50(w) x 8.40(h) x 0.50(d) |
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