Hilberts Program Essay Mathematical by Detlefsen (9 results)
Language: English
Published by Springer Netherlands, 1986
- Hardcover
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Condition: Very Good. Former library copy. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good.
Language: English
Published by Springer Netherlands, 1986
- Hardcover
Seller: Better World Books, Mishawaka, IN, U.S.A.Better World Books
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Condition: Good. Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good.
Language: English
Published by Springer, 1986
- Hardcover
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Hardcover. Condition: Very Good. No Dust Jacket. First Edition; First Printing. Lacking Dustjacket. First Edition, First Printing (No additional printings stated). Very Good with light wear to covers and no marks to text. Math; Synthese Library, 182; 8vo 8" - 9" tall; 200 pages.
Language: English
Published by D. Reidel Publishing, Dordrecht, Holland, 1986
- Hardcover
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Hardcover. Condition: Fine. Dust Jacket Condition: Very Good Dust Jacket. 186pp. References. Index. About fine book & dust jacket. Size: 8vo - over 7¾ - 9¾" Tall.
Language: English
Published by Springer, 1986
- Hardcover
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Language: English
Published by Springer, 2010
- Softcover
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Language: English
Published by Springer, 2010
- Softcover
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Taschenbuch. Condition: Neu. Hilbert's Program | An Essay on Mathematical Instrumentalism | M. Detlefsen | Taschenbuch | Synthese Library | xiv | Englisch | 2010 | Springer | EAN 9789048184200 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com…| Anbieter: preigu.
Language: English
Published by Springer Netherlands, Springer Netherlands, 2010
- Softcover
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.
Language: English
Published by Springer, Springer, 1986
- Hardcover
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 a…ccord 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.
