Zur Startseite gehen
0,00 €*
Cover: 9789048184200 | Hilbert¿s Program | An Essay on Mathematical Instrumentalism | Buch
Dekorationsartikel gehören nicht zum Leistungsumfang.
Hilbert¿s Program
An Essay on Mathematical Instrumentalism
Taschenbuch von M. Detlefsen
Sprache: Englisch

106,99 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:
Beschreibung
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.
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.
Inhaltsverzeichnis
I: The Philosophical Fundamentals of Hilbert¿s Program.- II: A Closer Look at the Problems.- III: The Gödelian Challenge.- IV: The Stability Problem.- V: The Convergence Problem and the Problem of Strict Instrumentalism.- Appendix: Hilbert¿s Program and the First Theorem.- References.
Details
Erscheinungsjahr: 2010
Fachbereich: Allgemeines
Genre: Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
Reihe: Synthese Library
Inhalt: xiv
186 S.
1 s/w Illustr.
ISBN-13: 9789048184200
ISBN-10: 9048184207
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Detlefsen, M.
Auflage: Softcover reprint of hardcover 1st ed. 1986
Hersteller: Springer Netherland
Springer Netherlands
Synthese Library
Maße: 216 x 140 x 12 mm
Von/Mit: M. Detlefsen
Erscheinungsdatum: 25.12.2010
Gewicht: 0,264 kg
Artikel-ID: 107244391
Inhaltsverzeichnis
I: The Philosophical Fundamentals of Hilbert¿s Program.- II: A Closer Look at the Problems.- III: The Gödelian Challenge.- IV: The Stability Problem.- V: The Convergence Problem and the Problem of Strict Instrumentalism.- Appendix: Hilbert¿s Program and the First Theorem.- References.
Details
Erscheinungsjahr: 2010
Fachbereich: Allgemeines
Genre: Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
Reihe: Synthese Library
Inhalt: xiv
186 S.
1 s/w Illustr.
ISBN-13: 9789048184200
ISBN-10: 9048184207
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Detlefsen, M.
Auflage: Softcover reprint of hardcover 1st ed. 1986
Hersteller: Springer Netherland
Springer Netherlands
Synthese Library
Maße: 216 x 140 x 12 mm
Von/Mit: M. Detlefsen
Erscheinungsdatum: 25.12.2010
Gewicht: 0,264 kg
Artikel-ID: 107244391
Warnhinweis

Ähnliche Produkte

Ähnliche Produkte

Taschenbuch
Cover: 9783540433767 | Isabelle/HOL | A Proof Assistant for Higher-Order Logic | Taschenbuch
Isabelle/HOL
A Proof Assistant for Higher-Order Logic
EAN: 9783540433767
Sprache: Englisch
Von/Mit: Tobias Nipkow (u. a.)

58,84 €*

Aktuell nicht verfügbar

Buch
Cover: 9783525303269 | Logik und Wert | Wilhelm Dilthey | Buch | 371 S. | Deutsch | 2004
Logik und Wert
Späte Vorlesungen, Entwürfe und Fragmente zur Strukturpsychologie, Logik und Wertlehre (ca. 1904-1911). Logik und...
EAN: 9783525303269
Sprache: Deutsch
Von/Mit: Wilhelm Dilthey

225,00 €*

Lieferzeit 1-2 Wochen

Buch
Cover: 9789027722447 | Mathematical Methods in Linguistics | Barbara B. H. Partee (u. a.)
Mathematical Methods in Linguistics
EAN: 9789027722447
Sprache: Englisch
Von/Mit: Barbara B. H. Partee (u. a.)

364,95 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9783034840736 | Handbuch der Laplace-Transformation | Gustav Doetsch | Taschenbuch
Handbuch der Laplace-Transformation
Band II. Anwendungen der Laplace-Transformation
EAN: 9783034840736
Sprache: Deutsch
Von/Mit: Gustav Doetsch

64,99 €*

Lieferzeit 4-7 Werktage

Taschenbuch
Cover: 9780521467131 | Topics in Matrix Analysis | Roger A. Horn (u. a.) | Taschenbuch | 2010
Topics in Matrix Analysis
EAN: 9780521467131
Sprache: Englisch
Von/Mit: Roger A. Horn (u. a.)

107,95 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9781472143617 | Lying Numbers | How Maths and Statistics Are Twisted and Abused | Buch
Lying Numbers
How Maths and Statistics Are Twisted and Abused
EAN: 9781472143617
Sprache: Englisch
Von/Mit: Pocket Book of Revelation Hugh Barker

22,25 €*

Lieferzeit 1-2 Wochen

Buch
Cover: 9783030700836 | New Developments in Legal Reasoning and Logic | Shahid Rahman (u. a.)
New Developments in Legal Reasoning and Logic
From Ancient Law to Modern Legal Systems
EAN: 9783030700836
Von/Mit: Shahid Rahman (u. a.)

112,95 €*

Lieferzeit 1-2 Wochen

Buch
Cover: 9780262035255 | Argument and Inference | An Introduction to Inductive Logic | Johnson
Argument and Inference
An Introduction to Inductive Logic
EAN: 9780262035255
Sprache: Englisch
Von/Mit: Gregory Johnson

50,90 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9780415832458 | Latent Variable Modeling with R | W. Holmes Finch (u. a.) | Buch
Latent Variable Modeling with R
EAN: 9780415832458
Sprache: Englisch
Von/Mit: W Holmes Finch (u. a.)

72,00 €*

Aktuell nicht verfügbar

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...