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Naturalism in mathematics /

Set theory has rendered the notion of self-evident truths to be obsolete in mathematics. Penelope Maddy examines this dilemma using the minimum of technical jargon. Set theory is explained in a manner that can be understood by non-mathematicians.

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Maddy, Penelope
Format: Electronic eBook
Language:Inglés
Published: Oxford : New York : Clarendon Press ; Oxford University Press, 1997.
Subjects:
Online Access:Texto completo
Table of Contents:
  • Part I, The problem. The origins of set theory ; Set theory as a foundation ; The standard axioms ; Independent questions ; New axiom candidates
  • Part II, Realism. Gödelian realism ; Quinean realism ; Set theoretic realism ; A realist's case against ; Hints of trouble ; Indispensability and scientific practice ; Indispensability and mathematical practice
  • Part III, Naturalism. Wittgensteinian anti-philosophy ; A second Gödelian theme ; Quinean naturalism ; Mathematical naturalism ; The problem revisited ; A naturalist's case against.