Kant's Philosophy of Mathematics: Volume 1, The Critical Philosophy and its Roots PDF Download
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Author: Carl Posy
Publisher: Cambridge University Press
ISBN: 1108669530
Category : Philosophy
Languages : en
Pages : 333
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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.
Author: Carl Posy
Publisher: Cambridge University Press
ISBN: 1108669530
Category : Philosophy
Languages : en
Pages : 333
Get Book Here
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.
Author: Carl Posy
Publisher: Cambridge University Press
ISBN: 9781108717083
Category : Philosophy
Languages : en
Pages : 331
Get Book Here
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.
Author: Daniel Sutherland
Publisher: Cambridge University Press
ISBN: 1108429963
Category : Mathematics
Languages : en
Pages : 317
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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.
Author: Daniel Smyth
Publisher:
ISBN: 1009330276
Category : Philosophy
Languages : en
Pages : 276
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Book Description
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.
Author: Mirosław Szatkowski
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311066481X
Category : Philosophy
Languages : en
Pages : 508
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Book Description
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.
Author: PROF PAOLO. MUGNAI MANCOSU (PROF MASSIMO.)
Publisher: Oxford University Press
ISBN: 0198876920
Category :
Languages : en
Pages : 238
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Book Description
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.
Author: Beatrix Himmelmann
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110701448
Category : Philosophy
Languages : en
Pages : 1990
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Book Description
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.
Author: Michael Bennett McNulty
Publisher: Cambridge University Press
ISBN: 1108476899
Category : Philosophy
Languages : en
Pages : 303
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Book Description
New essays on Kant's complex work, considering its place in his oeuvre and in the history of science.
Author: Bertrand Russell
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 224
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Book Description
Author: Emily Carson
Publisher: Routledge
ISBN: 1317407903
Category : Philosophy
Languages : en
Pages : 293
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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.
