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Kant's Philosophy of Mathematics

Kant's Philosophy of Mathematics PDF Author: Carl Posy
Publisher: Cambridge University Press
ISBN: 1107042909
Category : Philosophy
Languages : en
Pages : 328

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Book Description
Essential for students and scholars, this book brings contemporary Kantian scholarship together with the history of philosophy of mathematics.

Kant's Philosophy of Mathematics

Kant's Philosophy of Mathematics PDF Author: Carl Posy
Publisher: Cambridge University Press
ISBN: 1107042909
Category : Philosophy
Languages : en
Pages : 328

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Book Description
Essential for students and scholars, this book brings contemporary Kantian scholarship together with the history of philosophy of mathematics.

Kant’s Philosophy of Mathematics

Kant’s Philosophy of Mathematics PDF Author: C.J. Posy
Publisher: Springer Science & Business Media
ISBN: 9401580464
Category : Philosophy
Languages : en
Pages : 380

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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.

Kant's Philosophy of Mathematics: Volume 1, The Critical Philosophy and its Roots

Kant's Philosophy of Mathematics: Volume 1, The Critical Philosophy and its Roots PDF Author: Carl Posy
Publisher: Cambridge University Press
ISBN: 1108669530
Category : Philosophy
Languages : en
Pages :

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Book Description
The late 1960s saw the emergence of new philosophical interest in Kant's philosophy of mathematics, and since then this interest has developed into a major and dynamic field of study. In this state-of-the-art survey of contemporary scholarship on Kant's mathematical thinking, Carl Posy and Ofra Rechter gather leading authors who approach it from multiple perspectives, engaging with topics including geometry, arithmetic, logic, and metaphysics. Their essays offer fine-grained analysis of Kant's philosophy of mathematics in the context of his Critical philosophy, and also show sensitivity to its historical background. The volume will be important for readers seeking a comprehensive picture of the current scholarship about the development of Kant's philosophy of mathematics, its place in his overall philosophy, and the Kantian themes that influenced mathematics and its philosophy after Kant.

Mathematics in Kant's Critical Philosophy

Mathematics in Kant's Critical Philosophy PDF Author: Lisa Shabel
Publisher: Routledge
ISBN: 1135370567
Category : Mathematics
Languages : en
Pages : 190

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Book Description
First published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.

Kant's Mathematical World

Kant's Mathematical World PDF Author: Daniel Sutherland
Publisher: Cambridge University Press
ISBN: 1108429963
Category : Mathematics
Languages : en
Pages : 300

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Book Description
An explanation of the foundations of Kant's philosophy of mathematics and its connection to his account of human experience.

The Ideal and the Real

The Ideal and the Real PDF Author: A. Winterbourne
Publisher: Springer Science & Business Media
ISBN: 9400914156
Category : Philosophy
Languages : en
Pages : 139

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Book Description
Many students coming to grips with Kant's philosophy are understandably daunted not only by the complexity and sheer difficulty of the man's writings, but almost equally by the amount of secondary literature available. A great deal of this seems to be - and not only on first reading - just about as difficult as the work it is meant to make more accessible. Any writer deliberately setting out to provide an authentically introductory text thus faces a double problem: how to provide an exegesis which would capture some of the spirit of the original, without gross and misleading over-simplification; and secondly, how to anchor the argument in the best and most imaginative secondary literature, yet avoid the whole project appearing so fragmented as to make the average book of chess openings seem positively austere. Until fairly recently, matters were made even more difficul t, in that commentaries on Kant were very often of a whole work, say, The Critique of Pure Reason, with the result that students would have to struggle through a very great deal of material indeed in order to feel any confidence at all that they had begun to understand the original writings. Recently, things have changed somewhat. There are now excellent commentaries on "Kant's Analytic", "Kant's Analogies" etc. . We have also seen, (at least as reflected in book titles), a resurgence of interest in what is perhaps the most controversial and far-reaching Kantian claim, viz.

Kant: Studies on Mathematics in the Critical Philosophy

Kant: Studies on Mathematics in the Critical Philosophy PDF Author: Emily Carson
Publisher: Routledge
ISBN: 131740789X
Category : Philosophy
Languages : en
Pages : 280

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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.

The Cambridge Companion to Kant and Modern Philosophy

The Cambridge Companion to Kant and Modern Philosophy PDF Author: Paul Guyer
Publisher: Cambridge University Press
ISBN: 9780521823036
Category : History
Languages : en
Pages : 722

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Book Description
This 2006 volume provides the broadest and deepest introduction to Kant currently available.

Kant: Studies on Mathematics in the Critical Philosophy

Kant: Studies on Mathematics in the Critical Philosophy PDF Author: Emily Carson
Publisher: Routledge
ISBN: 1317407903
Category : Philosophy
Languages : en
Pages : 280

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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.

Der Wahrheitsbegriff in Kants Transzendentalphilosophie

Der Wahrheitsbegriff in Kants Transzendentalphilosophie PDF Author: Sabrina Bauer
Publisher: de Gruyter
ISBN: 9783110697773
Category : Philosophy
Languages : de
Pages : 274

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Book Description
Die Leitfragen dieser wahrheitstheoretischen Interpretation lauten: Welche Rolle spielt die Wahrheitsfrage in der 'Kritik der reinen Vernunft' generell und in den einzelnen Abteilungen der Untersuchung? Welche Wahrheitskonzeption vertritt Kant, mit welchen Argumenten und welche Kritik konkurrierender philosophischer Positionen ist damit verbunden? Alle Hauptabteilungen der Kritik der reinen Vernunft werden in diesem Lichte erklärt, geprüft und kommentiert. Entgegen der verbreitenden Tendenz, den Wahrheitsbegriff bei der Interpretation der Kritik der reinen Vernunft in den Hintergrund treten zu lassen, wird demonstriert, dass sich deren zentrale Philosopheme in wahrheitstheoretischer Perspektive erschließen. Indem sie die Wahrheitsfrage als Schlüssel zum adäquaten Verständnis der Kritik der reinen Vernunft erweist, eröffnet die Arbeit ein neues Verständnis der Kritik der reinen Vernunft und der kantischen Transzendentalphilosophie. Das zentrale Ergebnis der Arbeit integriert exegetischen und die systematischen Fragestellungen: Es besteht in dem Nachweis, dass Kant in der 'Kritik der reinen Vernunft' durch die immanente Kritik des Erkenntnisvermögens das Widerspruchsprinzip, das transzendentale Prinzip analytischer Urteile, um ein transzendentales Prinzip synthetischer Urteile ergänzt. Dadurch wird die Wahrheitsskepsis sowohl in der rationalistischen als auch in der empiristischen Variante ausgeräumt und die Erkenntnisansprüche reiner Vernunft in ihre Grenzen gesetzt.