| Document Type
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BL
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| Record Number
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982339
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| Doc. No
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b736709
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| Main Entry
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Maddy, Penelope.
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| Title & Author
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Naturalism in mathematics /\ Penelope Maddy.
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| Publication Statement
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Oxford :: Clarendon Press ;New York :: Oxford University Press,, 1997.
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| Page. NO
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1 online resource (viii, 254 pages)
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| ISBN
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0191597961
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: 0198235739
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: 0198250754
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: 9780191597961
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: 9780198235736
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: 9780198250753
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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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.
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| Abstract
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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.
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| Subject
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Mathematics-- Philosophy.
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Naturalism.
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MATHEMATICS-- History Philosophy.
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Mathematics-- Philosophy.
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Naturalism.
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Realisme (filosofie)
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| Subject
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Wiskunde.
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| Dewey Classification
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510/.1
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| LC Classification
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QA8.4.M328 1997eo
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