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Kants Philosophy Of Mathematics Volume 1 The Critical Philosophy And Its Roots
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Book Synopsis Kant's Philosophy of Mathematics by : Carl Posy
Download or read book Kant's Philosophy of Mathematics 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: Essential for students and scholars, this book brings contemporary Kantian scholarship together with the history of philosophy of mathematics.
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.
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)
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.
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 461 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.
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.
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.
Book Synopsis Syllogistic Logic and Mathematical Proof by : PROF PAOLO. MUGNAI MANCOSU (PROF MASSIMO.)
Download or read book Syllogistic Logic and Mathematical Proof written by PROF PAOLO. MUGNAI MANCOSU (PROF MASSIMO.) and published by Oxford University Press. This book was released on 2023-05-18 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Does syllogistic logic have the resources to capture mathematical proof? This volume provides the first unified account of the history of attempts to answer this question, the reasoning behind the different positions taken, and their far-reaching implications. Aristotle had claimed that scientific knowledge, which includes mathematics, is provided by syllogisms of a special sort: 'scientific' ('demonstrative') syllogisms. In ancient Greece and in the Middle Ages, the claim that Euclid's theorems could be recast syllogistically was accepted without further scrutiny. Nevertheless, as early as Galen, the importance of relational reasoning for mathematics had already been recognized. Further critical voices emerged in the Renaissance and the question of whether mathematical proofs could be recast syllogistically attracted more sustained attention over the following three centuries. Supported by more detailed analyses of Euclidean theorems, this led to attempts to extend logical theory to include relational reasoning, and to arguments purporting to reduce relational reasoning to a syllogistic form. Philosophical proposals to the effect that mathematical reasoning is heterogenous with respect to logical proofs were famously defended by Kant, and the implications of the debate about the adequacy of syllogistic logic for mathematics are at the very core of Kant's account of synthetic a priori judgments. While it is now widely accepted that syllogistic logic is not sufficient to account for the logic of mathematical proof, the history and the analysis of this debate, running from Aristotle to de Morgan and beyond, is a fascinating and crucial insight into the relationship between philosophy and mathematics.
Download or read book Intuition in Kant written by Daniel Smyth and published by . This book was released on 2024-03-06 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book Daniel Smyth offers a comprehensive overview of Immanuel Kant's conception of intuition in all its species - divine, receptive, sensible, and human. Kant considers sense perception a paradigm of intuition, yet claims that we can represent infinities in intuition, despite the finitude of sense perception. Smyth examines this heterodox combination of commitments and argues that the various features Kant ascribes to intuition are meant to remedy specific cognitive shortcomings that arise from the discursivity of our intellect Intuition acting as the intellect's cognitive partner to make knowledge possible. He reconstructs Kant's conception of intuition and its role in his philosophy of mind, epistemology, and philosophy of mathematics, and shows that Kant's conception of sensibility is as innovative and revolutionary as his much-debated theory of the understanding.
Book Synopsis Quo Vadis, Metaphysics? by : Mirosław Szatkowski
Download or read book Quo Vadis, Metaphysics? written by Mirosław Szatkowski and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-11-18 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: The old philosophical discipline of metaphysics – after having been pronounced dead by many – has enjoyed a significant revival within the last thirty years, due to the application of the methods of analytic philosophy. One of the major contributors to this revival is the outstanding American metaphysician Peter van Inwagen. This volume brings together twenty-two scholars, who, in commemoration of Prof. van Inwagen's 75th birthday, ponder the future prospects of metaphysics in all the richness to which it has now returned. It is only natural that logical and epistemological reflections on the significance of metaphysics – sometimes called “meta-metaphysics” – play a considerable role in most of these papers. The volume is further enriched by an interview with Peter van Inwagen himself.
Book Synopsis The Court of Reason by : Beatrix Himmelmann
Download or read book The Court of Reason written by Beatrix Himmelmann and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-08 with total page 1984 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings present the contributions to the 13th International Kant Congress which was held at the University of Oslo, August 6-9, 2019. The congress, which hosted speakers from more than thirty countries and five continents, was dedicated to the topic of the court of reason. The idea that reason stands before itself as a tribunal characterizes the whole of Kant's critical project. Without such a court, reason falls into conflict with itself. With such a court in place, however, it may succeed in establishing the possibility and limits of metaphysics, ethics, aesthetics, law and science. The idea of reason being its own judge is not only pivotal to a proper understanding of Kant's philosophy, but can also shed light on the burgeoning fields of meta-philosophy and philosophical methodology. The 2019 Kant Congress put special emphasis on Kant's methodology, his account of conceptual critique, and the relevance of his ideas to current issues in especially political philosophy and the philosophy of law. Additional sections discussed a wide range of topics in Kant's philosophy. The Proceedings will provide anyone who is interested in exploring the variety of present-day work on Kant and Kantian themes with a wealth of fruitful inspiration.
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 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.
Book Synopsis Kant's Critical Philosophy for English Readers; by : Immanuel Kant
Download or read book Kant's Critical Philosophy for English Readers; written by Immanuel Kant and published by Palala Press. This book was released on 2018-02-15 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis From Kant to Hilbert Volume 1 by : William Bragg Ewald
Download or read book From Kant to Hilbert Volume 1 written by William Bragg Ewald and published by Oxford University Press, USA. This book was released on 1996 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics - algebra, geometry, number theory, analysis, logic, and set theory - with narratives to show how they are linked.
Book Synopsis Kant's Metaphysical Foundations of Natural Science by : Michael Bennett McNulty
Download or read book Kant's Metaphysical Foundations of Natural Science written by Michael Bennett McNulty and published by Cambridge University Press. This book was released on 2022-08-11 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: New essays on Kant's complex work, considering its place in his oeuvre and in the history of science.
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.
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:
