Mathematics in Kant's Critical Philosophy

Mathematics in Kant's Critical Philosophy
Author: Lisa Shabel
Publisher: Routledge
Total Pages: 249
Release: 2017-09-25
Genre: Mathematics
ISBN: 113537063X

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

Kant's Mathematical World

Kant's Mathematical World
Author: Daniel Sutherland
Publisher: Cambridge University Press
Total Pages: 317
Release: 2021-10-28
Genre: Mathematics
ISBN: 1108429963

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

Kant's Philosophy of Mathematics

Kant's Philosophy of Mathematics
Author: C J Posy
Publisher: Springer
Total Pages: 392
Release: 2014-01-15
Genre:
ISBN: 9789401580472

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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
Author: Carl Posy
Publisher: Cambridge University Press
Total Pages: 333
Release: 2020-05-21
Genre: Philosophy
ISBN: 1108669530

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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.

The Cambridge Companion to Kant and Modern Philosophy

The Cambridge Companion to Kant and Modern Philosophy
Author: Paul Guyer
Publisher: Cambridge University Press
Total Pages: 760
Release: 2006-01-30
Genre: Philosophy
ISBN: 1139827030

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The philosophy of Immanuel Kant is the watershed of modern thought, which irrevocably changed the landscape of the field and prepared the way for all the significant philosophical movements of the nineteenth and twentieth centuries. This 2006 volume, which complements The Cambridge Companion to Kant, covers every aspect of Kant's philosophy, with a particular focus on his moral and political philosophy. It also provides detailed coverage of Kant's historical context and of the enormous impact and influence that his work has had on the subsequent history of philosophy. The bibliography also offers extensive and organized coverage of both classical and recent books on Kant. This volume thus provides the broadest and deepest introduction currently available on Kant and his place in modern philosophy, making accessible the philosophical enterprise of Kant to those coming to his work for the first time.

Kant's Theory of Science

Kant's Theory of Science
Author: Gordon G. Brittan Jr.
Publisher: Princeton University Press
Total Pages: 229
Release: 2015-03-08
Genre: Science
ISBN: 1400867487

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While interest in Kant's philosophy has increased in recent years, very little of it has focused on his theory of science. This book gives a general account of that theory, of its motives and implications, and of the way it brought forth a new conception of the nature of philosophical thought. To reconstruct Kant's theory of science, the author identifies unifying themes of his philosophy of mathematics and philosophy of physics, both undergirded by his distinctive logical doctrines, and shows how they come together to form a relatively consistent system of ideas. A new analysis of the structure of central arguments in the Critique of Pure Reason and the Prolegomena draws on recent developments in logic and the philosophy of science. Professor Brittan's unified account of the philosophies of mathematics and physics explores the nature of Kant's commitment to Euclidean geometry and Newtonian mechanics as well as providing an integrated reading of the Critique of Pure Reason and the Metaphysical Foundations of Natural Science. Contemporary ideas help both to illuminate Kant's position and to show how that position, in turn, illuminates contemporary problems in the philosophy of science. Originally published in 1978. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Kant’s Philosophy of Mathematics

Kant’s Philosophy of Mathematics
Author: C.J. Posy
Publisher: Springer Science & Business Media
Total Pages: 470
Release: 2013-03-09
Genre: Philosophy
ISBN: 9401580464

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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: Studies on Mathematics in the Critical Philosophy

Kant: Studies on Mathematics in the Critical Philosophy
Author: Emily Carson
Publisher: Routledge
Total Pages: 461
Release: 2017-12-22
Genre: Philosophy
ISBN: 131740789X

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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.

Origins of Analytic Philosophy

Origins of Analytic Philosophy
Author: Delbert Reed
Publisher: A&C Black
Total Pages: 217
Release: 2010-12-16
Genre: Philosophy
ISBN: 1441123024

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From Kant to Husserl

From Kant to Husserl
Author: Charles Parsons
Publisher: Harvard University Press
Total Pages: 257
Release: 2012-03-15
Genre: Philosophy
ISBN: 0674065425

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In From Kant to Husserl, Charles Parsons examines a wide range of historical opinion on philosophical questions from mathematics to phenomenology. Amplifying his early ideas on Kant’s philosophy of arithmetic, the author then turns to reflections on Frege, Brentano, and Husserl.