Naturalism in mathematics / Penelope Maddy.

By:

Maddy, Penelope

Material type: Text

TextPublication details: Oxford : Clarendon Press ; New York : Oxford University Press, 1997.Description: 1 online resource (viii, 254 pages)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

0198250754
9780198250753
9780198235736
0198235739
9780191597961
0191597961

Subject(s):

Genre/Form:

Additional physical formats: Print version:: Naturalism in mathematics.DDC classification:

510/.1 21

LOC classification:

QA8.4 .M328 1997eo

Other classification:

31.02
5,1
CC 2600

Online resources:

Click here to access online

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.

Summary: 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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Includes bibliographical references and index.

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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