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Author: Emmanuel Barot
Publisher: Librairie Philosophique Vrin
ISBN: 9782711622115
Category : German philosophy / Mathematics / 19th-20th centuries
Languages : fr
Pages : 0
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Book Description
Mathematique(s), Physique(s) et logique(s) vivent depuis le XIXe siecle une revolution permanente qui fait eclater les paradigmes auxquels Newton, Aristote et Euclide etaient associes. Litteralement apparente a ces derniers, le dispositif kantien, Critique de la raison pure au centre, fut de facon concomitante profondement remis en cause et son caractere obsolete n'a cesse depuis d'etre martele. L'objectif de ce volume est de montrer au contraire que la philosophie transcendantale, loin d'etre une simple pensee du passe, non seulement n'a pas forcement ete par soi invalidee par les histoires recentes de la logique et des mathematiques, mais qu'elle a egalement nourri, autant dans l'aire anglo-saxonne que dans l'aire continentale, et au travers de multiples refontes, de fecondes perspectives. Quatre contributions croisant ces differentes sensibilites, temoignent en premiere partie de cette vitalite actuelle du style kantien (J. Hintikka et R. Villko, P. Martin-Lof, J. Petitot, J.-M. Salanskis). En seconde partie sont presentees, traduites pour la premiere fois, deux contributions de l'Ecole de Marbourg historiquement constitutives du debat: celle de Cassirer, Kant und die Moderne Mathematik (1907) et celle du chapitre V de l'ouvrage de Natorp, Les fondements logiques des sciences exactes (1910) consacre aux concepts de dimension et de nombre.
Author: Emmanuel Barot
Publisher: Librairie Philosophique Vrin
ISBN: 9782711622115
Category : German philosophy / Mathematics / 19th-20th centuries
Languages : fr
Pages : 0
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Book Description
Mathematique(s), Physique(s) et logique(s) vivent depuis le XIXe siecle une revolution permanente qui fait eclater les paradigmes auxquels Newton, Aristote et Euclide etaient associes. Litteralement apparente a ces derniers, le dispositif kantien, Critique de la raison pure au centre, fut de facon concomitante profondement remis en cause et son caractere obsolete n'a cesse depuis d'etre martele. L'objectif de ce volume est de montrer au contraire que la philosophie transcendantale, loin d'etre une simple pensee du passe, non seulement n'a pas forcement ete par soi invalidee par les histoires recentes de la logique et des mathematiques, mais qu'elle a egalement nourri, autant dans l'aire anglo-saxonne que dans l'aire continentale, et au travers de multiples refontes, de fecondes perspectives. Quatre contributions croisant ces differentes sensibilites, temoignent en premiere partie de cette vitalite actuelle du style kantien (J. Hintikka et R. Villko, P. Martin-Lof, J. Petitot, J.-M. Salanskis). En seconde partie sont presentees, traduites pour la premiere fois, deux contributions de l'Ecole de Marbourg historiquement constitutives du debat: celle de Cassirer, Kant und die Moderne Mathematik (1907) et celle du chapitre V de l'ouvrage de Natorp, Les fondements logiques des sciences exactes (1910) consacre aux concepts de dimension et de nombre.
Author: Alessandro Sarti
Publisher: Springer Nature
ISBN: 3031519930
Category :
Languages : en
Pages : 297
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Book Description
Author: C.J. Posy
Publisher: Springer Science & Business Media
ISBN: 9401580464
Category : Philosophy
Languages : en
Pages : 470
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Book Description
Kant's views about mathematics were controversial in his own time, and they have inspired or infuriated thinkers ever since. Though specific Kantian doctrines fell into disrepute earlier in this century, the past twenty-five years have seen a surge of interest in and respect for Kant's philosophy of mathematics among both Kant scholars and philosophers of mathematics. The present volume includes the classic papers from the 1960s and 1970s which spared this renaissance of interest, together with updated postscripts by their authors. It also includes the most important recent work on Kant's philosophy of mathematics. The essays bring to bear a wealth of detailed Kantian scholarship, together with powerful new interpretative tools drawn from modern mathematics, logic and philosophy. The cumulative effect of this collection upon the reader will be a deeper understanding of the centrality of mathematics in all aspects of Kant's thought and a renewed respect for the power of Kant's thinking about mathematics. The essays contained in this volume will set the agenda for further work on Kant's philosophy of mathematics for some time to come.
Author: Immanuel Kant
Publisher: DigiCat
ISBN:
Category : Fiction
Languages : en
Pages : 133
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Book Description
This is a book by the German philosopher Immanuel Kant, published in 1783, two years after the first edition of his Critique of Pure Reason. One of Kant's shorter works, it contains a summary of the Critique's main conclusions, sometimes by arguments Kant had not used in the Critique. Kant characterizes his more accessible approach here as an "analytic" one, as opposed to the Critique's "synthetic" examination of successive faculties of the mind and their principles.
Author: Emily Carson
Publisher: Routledge
ISBN: 131740789X
Category : Philosophy
Languages : en
Pages : 461
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Book Description
There is a long tradition, in the history and philosophy of science, of studying Kant’s philosophy of mathematics, but recently philosophers have begun to examine the way in which Kant’s reflections on mathematics play a role in his philosophy more generally, and in its development. For example, in the Critique of Pure Reason, Kant outlines the method of philosophy in general by contrasting it with the method of mathematics; in the Critique of Practical Reason, Kant compares the Formula of Universal Law, central to his theory of moral judgement, to a mathematical postulate; in the Critique of Judgement, where he considers aesthetic judgment, Kant distinguishes the mathematical sublime from the dynamical sublime. This last point rests on the distinction that shapes the Transcendental Analytic of Concepts at the heart of Kant’s Critical philosophy, that between the mathematical and the dynamical categories. These examples make it clear that Kant's transcendental philosophy is strongly influenced by the importance and special status of mathematics. The contributions to this book explore this theme of the centrality of mathematics to Kant’s philosophy as a whole. This book was originally published as a special issue of the Canadian Journal of Philosophy.
Author: Charles Parsons
Publisher: Harvard University Press
ISBN: 0674419499
Category : Philosophy
Languages : en
Pages : 365
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Book Description
In these selected essays, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the past century: Brouwer, Hilbert, Bernays, Weyl, Gödel, Russell, Quine, Putnam, Wang, and Tait.
Author: C J Posy
Publisher: Springer
ISBN: 9789401580472
Category :
Languages : en
Pages : 392
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Book Description
Author: Joong Fang
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 408
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Book Description
This is a study of the first Critique of Immanuel Kant, examining the first Critque as a whole, liimiting the study strictly relative to mathematics. The greatest emphasis is on the relevance and compatibility between Kant's epistemology and mathematics proper in the mainstream, yesterday, today and tomroow. This text draws a line of demarcation between mathematics and metamathmatics.
Author: Emily Carson
Publisher:
ISBN: 9781315684017
Category : Electronic books
Languages : en
Pages :
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Book Description
"There is a long tradition, in the history and philosophy of science, of studying Kant’s philosophy of mathematics, but recently philosophers have begun to examine the way in which Kant’s reflections on mathematics play a role in his philosophy more generally, and in its development. For example, in the Critique of Pure Reason, Kant outlines the method of philosophy in general by contrasting it with the method of mathematics; in the Critique of Practical Reason, Kant compares the Formula of Universal Law, central to his theory of moral judgement, to a mathematical postulate; in the Critique of Judgement, where he considers aesthetic judgment, Kant distinguishes the mathematical sublime from the dynamical sublime. This last point rests on the distinction that shapes the Transcendental Analytic of Concepts at the heart of Kant’s Critical philosophy, that between the mathematical and the dynamical categories. These examples make it clear that Kant's transcendental philosophy is strongly influenced by the importance and special status of mathematics. The contributions to this book explore this theme of the centrality of mathematics to Kant’s philosophy as a whole. This book was originally published as a special issue of the Canadian Journal of Philosophy. "--Provided by publisher.
Author:
Publisher: Odile Jacob
ISBN: 2738177220
Category :
Languages : en
Pages : 330
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Book Description
