Penelope Maddy

Naturalism in Mathematics

• Broschiertes Buch

Produktbeschreibung

Naturalism in Mathematics investigates how the most fundamental assumptions of mathematics can be justified. One prevalent philosophical approach to the problem¿realism¿is examined and rejected in favour of another approach¿naturalism¿which attends more closely to practical considerations drawn from within mathematics itself. Penelope Maddy defines naturalism, explains the motivation for it, and shows how it can be successfully applied in set theory. Herclear, original discussion is informed by current work in both philosophy and mathematics, and will be accessible and enlightening to readers from both disciplines.

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Produktdetails

• Verlag: OUP Oxford
• Seitenzahl: 266
• Erscheinungstermin: 29. Juni 2000
• Englisch
• Abmessung: 216mm x 140mm x 16mm
• Gewicht: 380g
• ISBN-13: 9780198250753
• ISBN-10: 0198250754
• Artikelnr.: 22209239

Autorenporträt

Penelope Maddy is Professor of Philosophy at the University of California, Irvine.

Inhaltsangabe

PART I: THE PROBLEM
1: The origins of set theory
2: Set theory as a foundation
3: The standard axioms
4: Independent questions
5: New axiom candidates
6: V = L
PART II: REALISM
1: Godelian realism
2: Quinean realism
3: Set-theoretic realism
4: A realist's case against V = L
5: Hints of trouble
6: Indispensability and scientific practice
7: Indispensability and mathematical practic
PART III: NATURALISM
1: Wittgensteinian anti-philosophy
2: A second Godelian theme
3: Quinean naturalism
4: Mathematical naturalism
5: The problem revisited
6: A naturalist's case against V = L
Conclusion
Bibliography
Index