Kant: Studies on Mathematics in the Critical Philosophy

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Publisher : Routledge
ISBN 13 : 1317407903
Total Pages : 280 pages
Book Rating : 4.3/5 (174 download)

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Book Synopsis Kant: Studies on Mathematics in the Critical Philosophy by : Emily Carson

Download or read book Kant: Studies on Mathematics in the Critical Philosophy written by Emily Carson and published by Routledge. This book was released on 2017-12-22 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Kant: Studies on Mathematics in the Critical Philosophy

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Publisher :
ISBN 13 : 9781315684017
Total Pages : pages
Book Rating : 4.6/5 (84 download)

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Book Synopsis Kant: Studies on Mathematics in the Critical Philosophy by : Emily Carson

Download or read book Kant: Studies on Mathematics in the Critical Philosophy written by Emily Carson and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

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

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Publisher : Cambridge University Press
ISBN 13 : 1108669530
Total Pages : 333 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Kant's Philosophy of Mathematics: Volume 1, The Critical Philosophy and its Roots by : Carl Posy

Download or read book Kant's Philosophy of Mathematics: Volume 1, The Critical Philosophy and its Roots written by Carl Posy and published by Cambridge University Press. This book was released on 2020-05-21 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Routledge
ISBN 13 : 113537063X
Total Pages : 249 pages
Book Rating : 4.1/5 (353 download)

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Book Synopsis Mathematics in Kant's Critical Philosophy by : Lisa Shabel

Download or read book Mathematics in Kant's Critical Philosophy written by Lisa Shabel and published by Routledge. This book was released on 2017-09-25 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.

Mathematics in Kant's Critical Philosophy

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Publisher :
ISBN 13 :
Total Pages : 270 pages
Book Rating : 4.:/5 (99 download)

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Book Synopsis Mathematics in Kant's Critical Philosophy by : Emily Carson

Download or read book Mathematics in Kant's Critical Philosophy written by Emily Carson and published by . This book was released on 2014 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Kant and the Foundations of Analytic Philosophy

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Publisher : Clarendon Press
ISBN 13 : 0191544043
Total Pages : 327 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Kant and the Foundations of Analytic Philosophy by : Robert Hanna

Download or read book Kant and the Foundations of Analytic Philosophy written by Robert Hanna and published by Clarendon Press. This book was released on 2001-01-04 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Hanna presents a fresh view of the Kantian and analytic traditions that have dominated continental European and Anglo-American philosophy over the last two centuries, and of the relation between them. The rise of analytic philosophy decisively marked the end of the hundred-year dominance of Kant's philosophy in Europe. But Hanna shows that the analytic tradition also emerged from Kant's philosophy in the sense that its members were able to define and legitimate their ideas only by means of an intensive, extended engagement with, and a partial or complete rejection of, the Critical Philosophy. Hanna's book therefore comprises both an interpretative study of Kant's massive and seminal Critique of Pure Reason, and a critical essay on the historical foundations of analytic philosophy from Frege to Quine. Hanna considers Kant's key doctrines in the Critique in the light of their reception and transmission by the leading figures of the analytic tradition—Frege, Moore, Russell, Wittgenstein, Carnap, and Quine. But this is not just a study in the history of philosophy, for out of this emerges Hanna's original approach to two much-contested theories that remain at the heart of contemporary philosophy. Hanna puts forward a new 'cognitive-semantic' interpretation of transcendental idealism, and a vigorous defence of Kant's theory of analytic and synthetic necessary truth. These will make Kant and the Foundations of Analytic Philosophy compelling reading not just for specialists in the history of philosophy, but for all who are interested in these fundamental philosophical issues.

Mathematics in Kant's Critical Philosophy

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Publisher :
ISBN 13 : 9780591828238
Total Pages : 278 pages
Book Rating : 4.8/5 (282 download)

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Book Synopsis Mathematics in Kant's Critical Philosophy by : Lisa A. Shabel

Download or read book Mathematics in Kant's Critical Philosophy written by Lisa A. Shabel and published by . This book was released on 2001 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Kant’s Philosophy of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401580464
Total Pages : 380 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Kant’s Philosophy of Mathematics by : C.J. Posy

Download or read book Kant’s Philosophy of Mathematics written by C.J. Posy and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Mathematical World

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Publisher : Cambridge University Press
ISBN 13 : 1108660045
Total Pages : 318 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Kant's Mathematical World by : Daniel Sutherland

Download or read book Kant's Mathematical World written by Daniel Sutherland and published by Cambridge University Press. This book was released on 2021-10-28 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kant's Mathematical World aims to transform our understanding of Kant's philosophy of mathematics and his account of the mathematical character of the world. Daniel Sutherland reconstructs Kant's project of explaining both mathematical cognition and our cognition of the world in terms of our most basic cognitive capacities. He situates Kant in a long mathematical tradition with roots in Euclid's Elements, and thereby recovers the very different way of thinking about mathematics which existed prior to its 'arithmetization' in the nineteenth century. He shows that Kant thought of mathematics as a science of magnitudes and their measurement, and all objects of experience as extensive magnitudes whose real properties have intensive magnitudes, thus tying mathematics directly to the world. His book will appeal to anyone interested in Kant's critical philosophy -- either his account of the world of experience, or his philosophy of mathematics, or how the two inform each other.

The Ideal and the Real

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Publisher : Theschoolbook.com
ISBN 13 : 9781845491987
Total Pages : 0 pages
Book Rating : 4.4/5 (919 download)

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Book Synopsis The Ideal and the Real by : A T Winterbourne

Download or read book The Ideal and the Real written by A T Winterbourne and published by Theschoolbook.com. This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Ideal and the Real should prove valuable to two particular sets of readers: (i) those with an interest in Kant and little or no background in the philosophy of mathematics, or (ii) those with an interest in the philosophy of mathematics and little or no background in Kant...The book contains much that is suggestive which should promote further discussion...(and) offers more than a simple examination of Kant's philosophy of mathematics. Of particular interest is his suggestion that Newton's thought experiments have been changed and idealized by commentators." R.R.Wojtowicz, (Canadian Philosophical Review) This book argues that Kant's theory of space, time and mathematics has contemporary significance principally because of its roots in the ideas of construction and schematism. These concepts are analysed in the light of the central Kantian distinction between the ideal and the empirically real. A reassessment of Newton's arguments for absolute space is followed by an examination of Leibniz's theory of space, time and continuity. The metaphysical frameworks of these theories are presented as essential precursors of Kant's critical programme. The ideas of construction and schematism illuminate all aspects of Kant's philosophy of mathematics, and have important implications for understanding both the task and the achievement of the critical philosophy. Through an analysis of these concepts, the role of intuition, and in particular the argument from incongruent counterparts, is given added significance. "While he intends The Ideal and the Real as a limited commentary on space, time, and mathematical construction, it also brings the reader into contact with a whole series of problems treated by Kant in the First Critique and the Prolegomena....While the discussion of Newton displays a sensitivity to the complexity of Newton's position, Winterbourne's own exposition develops clearly....(and) advances with such sensitivity both to primary and secondary sources that one could hardly find a better summary of the issues surrounding the Leibniz-Clarke controversy....The discussion of incongruent counterparts provides the most interesting part of the monograph....Winterbourne avoids technical jargon and obscure explanation in an admirable way...(and) gives us one of the best treatments of the Schematism available. Kantian scholars would do well to take note of Winterbourne's conclusions." John Treloar, (The Modern Schoolman) "One of the main strengths of Winterbourne's book is his treatment of Kant's philosophy of mathematics....and (it) offers an interesting overview of the ideas of Leibniz and Newton..." Grant West (Isis)

The Critical Philosophy of Kant

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Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Critical Philosophy of Kant by : Archibald Alfred Egles Weir

Download or read book The Critical Philosophy of Kant written by Archibald Alfred Egles Weir and published by . This book was released on 1881 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Kant's Prolegomena to Any Future Metaphysics

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Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Kant's Prolegomena to Any Future Metaphysics by : Immanuel Kant

Download or read book Kant's Prolegomena to Any Future Metaphysics written by Immanuel Kant and published by . This book was released on 1902 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics in Kant's Critical Philosophy

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Publisher : Routledge
ISBN 13 : 1135370567
Total Pages : 190 pages
Book Rating : 4.1/5 (353 download)

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Book Synopsis Mathematics in Kant's Critical Philosophy by : Lisa Shabel

Download or read book Mathematics in Kant's Critical Philosophy written by Lisa Shabel and published by Routledge. This book was released on 2017-09-25 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.

Kant and Philosophy of Science Today

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Publisher : Cambridge University Press
ISBN 13 : 9780521748513
Total Pages : 216 pages
Book Rating : 4.7/5 (485 download)

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Book Synopsis Kant and Philosophy of Science Today by : Michela Massimi

Download or read book Kant and Philosophy of Science Today written by Michela Massimi and published by Cambridge University Press. This book was released on 2008-11-20 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been an increasing interest in Kant and philosophy of science in the past twenty years. Through reconstructing Kantian legacies in the development of nineteenth and twentieth century physics and mathematics, this volume explores what relevance Kant's philosophy has in current debates in philosophy of science, mathematics and physics.

Kant on Proper Science

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Publisher : Springer Science & Business Media
ISBN 13 : 9400771401
Total Pages : 283 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Kant on Proper Science by : Hein van den Berg

Download or read book Kant on Proper Science written by Hein van den Berg and published by Springer Science & Business Media. This book was released on 2013-10-08 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a novel treatment of Immanuel Kant’s views on proper natural science and biology. The status of biology in Kant’s system of science is often taken to be problematic. By analyzing Kant’s philosophy of biology in relation to his conception of proper science, the present book determines Kant’s views on the scientific status of biology. Combining a broad ideengeschichtlich approach with a detailed historical reconstruction of philosophical and scientific texts, the book establishes important interconnections between Kant’s philosophy of science, his views on biology, and his reception of late 18th century biological theories. It discusses Kant’s views on science and biology as articulated in his published writings and in the Opus postumum. The book shows that although biology is a non-mathematical science and the relation between biology and other natural sciences is not specified, Kant did allow for the possibility of providing scientific explanations in biology and assigned biology a specific domain of investigation.

The Ideal and the Real

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Publisher : Springer
ISBN 13 : 9024737745
Total Pages : 137 pages
Book Rating : 4.0/5 (247 download)

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Book Synopsis The Ideal and the Real by : Anthony Winterbourne

Download or read book The Ideal and the Real written by Anthony Winterbourne and published by Springer. This book was released on 1988-01-01 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introducing Kant's Critique of Pure Reason

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Publisher : Cambridge University Press
ISBN 13 : 1108899838
Total Pages : 128 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Introducing Kant's Critique of Pure Reason by : Paul Guyer

Download or read book Introducing Kant's Critique of Pure Reason written by Paul Guyer and published by Cambridge University Press. This book was released on 2021-04-22 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Element surveys the place of the Critique of Pure Reason in Kant's overall philosophical project and describes and analyzes the main arguments of the work. It also surveys the developments in Kant's thought that led to the first critique, and provides an account of the genesis of the book during the 'silent decade' of its composition in the 1770s based on Kant's handwritten notes from the period.