Mathematics in Kant's Critical Philosophy

Mathematics in Kant's Critical Philosophy PDF Author: Lisa Shabel
Publisher: Routledge
ISBN: 113537063X
Category : Mathematics
Languages : en
Pages : 249

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

Mathematics in Kant's Critical Philosophy

Mathematics in Kant's Critical Philosophy PDF Author: Lisa Shabel
Publisher: Routledge
ISBN: 113537063X
Category : Mathematics
Languages : en
Pages : 249

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

Kant: Studies on Mathematics in the Critical Philosophy

Kant: Studies on Mathematics in the Critical Philosophy PDF Author: Emily Carson
Publisher: Routledge
ISBN: 1317407903
Category : Philosophy
Languages : en
Pages : 280

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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.

Kant's Mathematical World

Kant's Mathematical World PDF 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.

Kant: Studies on Mathematics in the Critical Philosophy

Kant: Studies on Mathematics in the Critical Philosophy PDF Author: Emily Carson
Publisher:
ISBN: 9781315684017
Category : Electronic books
Languages : en
Pages :

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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. "--Provided by publisher.

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 PDF 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.

Kant's Organicism

Kant's Organicism PDF Author: Jennifer Mensch
Publisher: University of Chicago Press
ISBN: 022627151X
Category : Philosophy
Languages : en
Pages : 259

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Book Description
Offsetting a study of Kant's theory of cognition with a mixture of intellectual history and biography, Kant's Organicism offers readers an accessible portrait of Kant's scientific milieu in order to show that his standing interests in natural history and its questions regarding organic generation were critical for the development of his theoretical philosophy. By reading Kant's theoretical work in light of his connection to the life sciences?especially his reflections on the epigenetic theory of formation and genesis?Jennifer Mensch provides a new understanding of much that has been otherwise obscure or misunderstood in it. ?Epigenesis”?a term increasingly used in the late eighteenth century to describe an organic, nonmechanical view of nature's generative capacities?attracted Kant as a model for understanding the origin of reason itself. Mensch shows how this model allowed Kant to conceive of cognition as a self-generated event and thus to approach the history of human reason as if it were an organic species with a natural history of its own. She uncovers Kant's commitment to the model offered by epigenesis in his first major theoretical work, the Critique of Pure Reason, and demonstrates how it informed his concept of the organic, generative role given to the faculty of reason within his system as a whole. In doing so, she offers a fresh approach to Kant's famed first Critique and a new understanding of his epistemological theory.

Kant's Philosophy of Mathematics

Kant's Philosophy of Mathematics PDF Author: C J Posy
Publisher: Springer
ISBN: 9789401580472
Category :
Languages : en
Pages : 392

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Book Description


Constituting Critique

Constituting Critique PDF Author: Willi Goetschel
Publisher: Duke University Press
ISBN: 9780822315438
Category : Literary Criticism
Languages : en
Pages : 260

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Book Description
Kant's philosophy is often treated as a closed system, without reference to how it was written or how Kant arrived at its familiar form, the critique. In fact, the style of the critique seems so artless that readers think of it as an unfortunate by-product--a style of stylelessness. In Constituting Critique, Willi Goetschel shows how this apparent gracelessness was deliberately achieved by Kant through a series of writing experiments. By providing an account of the process that culminated in his three Critiques, this book offers a new perspective on Kant's philosophical thought and practice. Constituting Critique traces the stages in Kant's development to reveal how he redefined philosophy as a critical task. Following the philosopher through the experiments of his early essays, Goetschel demonstrates how Kant tests, challenges, and transforms the philosophical essay in his pursuit of a new self-reflective literary genre. From these experiments, critique emerges as the philosophical form for the critical project of the Enlightenment. The imperatives of its transcendental style, Goetschel contends, not only constitute and inform the critical moment of Kant's philosophical praxis, but also have an enduring place in post-Kantian philosophy and literature. By situating the Critiques within the context of Kant's early essays, this work will redirect the attention of Kant scholars to the origins of their form. It will also encourage contemporary critical theorists to reconsider their own practice through an engagement with its source in Kant.

Immanuel Kant

Immanuel Kant PDF Author: Will Dudley
Publisher: Routledge
ISBN: 1317491998
Category : Philosophy
Languages : en
Pages : 248

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Book Description
Immanuel Kant is among the most pivotal thinkers in the history of philosophy. His transcendental idealism claims to overcome the skepticism of David Hume, resolve the impasse between empiricism and rationalism, and establish the reality of human freedom and moral agency. A thorough understanding of Kant is indispensable to any philosopher today. The significance of Kant's thought is matched by its complexity. His revolutionary ideas are systematically interconnected and he presents them using a forbidding technical vocabulary. A careful investigation of the key concepts that structure Kant's work is essential to the comprehension of his philosophical project. This book provides an accessible introduction to Kant by explaining each of the key concepts of his philosophy. The book is organized into three parts, which correspond to the main areas of Kant's transcendental idealism: Theoretical Philosophy; Practical Philosophy; and, Aesthetics, Teleology, and Religion. Each chapter presents an overview of a particular topic, while the whole provides a clear and comprehensive account of Kant's philosophical system.

The Powers of Pure Reason

The Powers of Pure Reason PDF Author: Alfredo Ferrarin
Publisher: University of Chicago Press
ISBN: 022624315X
Category : Philosophy
Languages : en
Pages : 342

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Book Description
The goal of the present book is nothing less than to correct what Alfredo Ferrarin calls the standard reading of Kant s. Ferrarin argues that this widespread form of interpretation has failed to do justice to Kant s philosophy primarily because it is rooted in several uncritical and unjustified assumptions. Two are particularly egregious: a compartmentalization of the First Critique, and an isolation of each Critique from the others. Ultimately these two assumptions cause one to lose sight of the fact that the cognitive/epistemological functions laid out in the Transcendental Aesthetic and Analytic are functions of an overarching pure reason of which the constitution of experience (and of a science of nature) is only one problem among others. This book, by contrast, argues that the main problem, which pervades the entire first critique, is the power that reason has to reach beyond itself and legislate over the world. Ferrarin pays close attention to both the Transcendental Dialectic and the Doctrine of Method where Kant lays out his conception of cosmic philosophy as embodied in the ideal philosopher."