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About 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.
Detailed Information
| Author: | Penelope Maddy |
|---|---|
| Publication Year: | 2011 |
| ISBN: | 9780199596188 |
| Pages: | 161 |
| Language: | English |
| File Size: | 0.661 |
| Format: | |
| Price: | FREE |
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