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.
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.
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.
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:
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:
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.
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 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: An explanation of the foundations of Kant's philosophy of mathematics and its connection to his account of human experience.
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.
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.
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)
Download or read book The Ideal and the Real written by A. Winterbourne and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Download or read book The Cambridge Companion to Kant and Modern Philosophy written by Paul Guyer and published by Cambridge University Press. This book was released on 2006-01-30 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Aesthetics and Cognition in Kant s Critical Philosophy written by Rebecca Kukla and published by Cambridge University Press. This book was released on 2006-07-03 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the relationship between Kant's aesthetic theory and his critical epistemology as articulated in the Critique of Pure Reason and the Critique of the Power of Judgment. The essays, written specially for this volume, explore core elements of Kant's epistemology, such as his notions of discursive understanding, experience, and objective judgment. They also demonstrate a rich grasp of Kant's critical epistemology that enables a deeper understanding of his aesthetics. Collectively, the essays reveal that Kant's critical project, and the dialectics of aesthetics and cognition within it, is still relevant to contemporary debates in epistemology, philosophy of mind, and the nature of experience and objectivity. The book also yields important lessons about the ineliminable, yet problematic place of imagination, sensibility and aesthetic experience in perception and cognition.
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 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Kant s Philosophy of Mathematics written by C J Posy and published by Springer. This book was released on 2014-01-15 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Imagination in Kant s Critical Philosophy written by Michael L. Thompson and published by Walter de Gruyter. This book was released on 2013-03-30 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kant s view of the imagination is surrounded by one of the most salient and obscure discussions onhis critical philosophy. Due to revisions and emendations and a seeming change in doctrine from the first to the third Critique, Kant s considered view of the imagination remains unclear. This collection of essays from Kant scholars illuminates the various treatments of imagination through its development in Kant s critical works. Thereby invaluable research is given on a topic that is now facing new interest amongst philosophers."
