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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 d… Meer...

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Taschenbuch, [EAN: 9789048184200], Philosophy: logic, Springer, Springer, Book, [PU: Springer], 2010-12-25, Springer, 3138311, Logik, 3138111, Philosophie, 3234481, Sozialwissenschaft, 54… Meer...

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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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An Essay on Mathematical Instrumentalism, Softcover reprint of hardcover 1st ed. 1986, Softcover, Buch, [PU: Springer]

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Hilbert's Program: An Essay On Mathematical Instrumentalism (Synthese Library) (Synthese Library (182), Band 182)

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: An Essay On Mathematical Instrumentalism (Synthese Library) (Synthese Library (182), Band 182)


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

Boek bevindt zich in het datenbestand sinds 2011-08-11T18:14:51+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2020-01-19T21:42:50+01:00 (Amsterdam)
ISBN/EAN: 9789048184200

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


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