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Hilberts Program: An Essay on Mathematical Instrumentalism - M. Detlefsen
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M. Detlefsen:
Hilberts Program: An Essay on Mathematical Instrumentalism - pocketboek

ISBN: 9048184207

ID: 10798616884

[EAN: 9789048184200], Neubuch, [PU: Springer], M. DETLEFSEN,MATHEMATICS,LOGIC, 186 pages. Dimensions: 9.0in. x 6.0in. x 0.5in.Hilberts Program was founded on a concern for the phenomenon of paradox in mathematics. To Hilbert, the paradoxes, which are at once both absurd and irresistible, revealed a deep philosophical truth: namely, that there is a discrepancy between the laws accord ing to which the mind of homo mathematicus works, and the laws governing objective mathematical fact. Mathematical epistemology is, therefore, to be seen as a struggle between a mind that naturally works in one way and a reality that works in another. Knowledge occurs when the two cooperate. Conceived in this way, there are two basic alternatives for mathematical epistemology: a skeptical position which maintains either that mind and reality seldom or never come to agreement, or that we have no very reliable way of telling when they do; and a non-skeptical position which holds that there is significant agree ment between mind and reality, and that their potential discrepan cies can be detected, avoided, and thus kept in check. Of these two, Hilbert clearly embraced the latter, and proposed a program designed to vindicate the epistemological riches represented by our natural, if non-literal, ways of thinking. Brouwer, on the other hand, opted for a position closer (in Hilberts opinion) to that of the skeptic. Having decided that epistemological purity could come only through sacrifice, he turned his back on his classical heritage to accept a higher calling. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN.

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Hilbert's Program : An Essay on Mathematical Instrumentalism - Detlefsen, M.
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Detlefsen, M.:
Hilbert's Program : An Essay on Mathematical Instrumentalism - pocketboek

2016, ISBN: 9048184207

ID: 19668817799

[EAN: 9789048184200], Neubuch, [PU: Springer], HILBERT'S PROGRAM : AN ESSAY ON MATHEMATICAL INSTRUMENTALISM, PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK.

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Hilbert's Program: An Essay on Mathematical Instrumentalism - Michael Detlefsen
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Hilbert's Program: An Essay on Mathematical Instrumentalism - pocketboek

ISBN: 9789048184200

ID: 9789048184200

Hilbert's Program: An Essay on Mathematical Instrumentalism Hilberts-Program~~M-Detlefsen Philosophy>Philosophy>Philosophy Paperback, Springer Netherlands

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Hilbert’s Program - M. Detlefsen
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ISBN: 9789048184200

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Philosophy; Logic; History of Mathematical Sciences; Mathematical Logic and Foundations design, epistemology, knowledge, mathematics, mind, opera, truth Books, Springer Nature

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Hilbert's Program: An Essay on Mathematical Instrumentalism (Synthese Library) - Detlefsen, M.
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Hilbert's Program: An Essay on Mathematical Instrumentalism (Synthese Library) - pocketboek

2010, ISBN: 9048184207

ID: 20043882609

[EAN: 9789048184200], Neubuch, [PU: Springer], This item is printed on demand.

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Hilbert's Program

Hilbert's Program was founded on a concern for the phenomenon of paradox in mathematics. To Hilbert, the paradoxes, which are at once both absurd and irresistible, revealed a deep philosophical truth: namely, that there is a discrepancy between the laws accord- ing to which the mind of homo mathematicus works, and the laws governing objective mathematical fact. Mathematical epistemology is, therefore, to be seen as a struggle between a mind that naturally works in one way and a reality that works in another. Knowledge occurs when the two cooperate. Conceived in this way, there are two basic alternatives for mathematical epistemology: a skeptical position which maintains either that mind and reality seldom or never come to agreement, or that we have no very reliable way of telling when they do; and a non-skeptical position which holds that there is significant agree- ment between mind and reality, and that their potential discrepan- cies can be detected, avoided, and thus kept in check. Of these two, Hilbert clearly embraced the latter, and proposed a program designed to vindicate the epistemological riches represented by our natural, if non-literal, ways of thinking. Brouwer, on the other hand, opted for a position closer (in Hilbert's opinion) to that of the skeptic. Having decided that epistemological purity could come only through sacrifice, he turned his back on his classical heritage to accept a higher calling.

Gedetalleerde informatie over het boek. - Hilbert's Program


EAN (ISBN-13): 9789048184200
ISBN (ISBN-10): 9048184207
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag GmbH
204 Bladzijden
Gewicht: 0,294 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 11.08.2011 18:14:51
Boek voor het laatst gevonden op 01.06.2018 15:43:38
ISBN/EAN: 9789048184200

ISBN - alternatieve schrijfwijzen:
90-481-8420-7, 978-90-481-8420-0


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