mathematics in kant s critical philosophy studies in philosophy

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Mathematics In Kant S Critical Philosophy

Author : Lisa Shabel
ISBN : 9781135370633
Genre : Mathematics
File Size : 21. 11 MB
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First published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.

Kant Studies On Mathematics In The Critical Philosophy

Author : Emily Carson
ISBN : 9781317407898
Genre : Philosophy
File Size : 87. 15 MB
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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 Critical Philosophy

Author : Gilles Deleuze
ISBN : 9780826432063
Genre : Knowledge, Theory of
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Gilles Deleuze was one of the most important and influential continental philosophers of the 20th century and this book is an essential text for the field of Kant studies.

Aesthetics And Cognition In Kant S Critical Philosophy

Author : Rebecca Kukla
ISBN : 9781139455169
Genre : Philosophy
File Size : 28. 39 MB
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This 2006 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.

Kant S Philosophy Of Mathematics

Author : C.J. Posy
ISBN : 9789401580465
Genre : Philosophy
File Size : 70. 61 MB
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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.

Constantin Carath Odory

Author : Maria Georgiadou
ISBN : 3540203524
Genre : Mathematics
File Size : 66. 77 MB
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Constantin Carathéodory - Mathematics and Politics in Turbulent Times is the biography of a mathematician, born in Berlin in 1873, who became famous during his life time, but has hitherto been ignored by historians for half a century since his death in 1950, in Munich. In a thought-provoking approach, Maria Georgiadou devotes to Constantin Carathéodory all the attention such a personality deserves. With breathtaking detail and the appropriate scrutiny she elucidates his oeuvre, life and turbulent political and historical surroundings. A descendant of the the Greek élite of Constantinople, Carathéodory graduated from the military school of Brussels, became engineer at the Assiout dam in Egypt and finally dedicated a life of effort to mathematics and education. He studied and embarked on an international academic career, haunted by wars, catastrophes and personal tragedies. Over the last years of his life, he stayed in Munich despite World War II, an ambiguous decision upon which the author sheds unprecedented light. Carathéodory's most significant mathematical contributions were to the calculus of variations, the theory of point set measure and the theory of functions of a real variable, pde's, also to complex function theory. The interdisciplinary nature of the text allows easy access for both scholars and readers with a general interest in mathematics, politics and history. The thoroughness of the author’s research and evaluations is certain to leave everyone impressed and more knowledgeable.

A Companion To Kant

Author : Graham Bird
ISBN : 9781405197595
Genre : Philosophy
File Size : 83. 76 MB
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Kant S Critical Philosophy For English Readers The Kritik Of The Pure Reason Explained And Defended

Author : Immanuel Kant
ISBN : PRNC:32101075679447
Genre : Causation
File Size : 63. 19 MB
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Kant S Organicism

Author : Jennifer Mensch
ISBN : 9780226021980
Genre : Philosophy
File Size : 52. 59 MB
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Because it laid the foundation for nearly all subsequent epistemologies, Immanuel Kant’s Critique of Pure Reason has overshadowed his other interests in natural history and the life sciences, which scholars have long considered as separate from his rigorous theoretical philosophy—until now. In Kant’s Organicism, Jennifer Mensch draws a crucial link between these spheres by showing how the concept of epigenesis—a radical theory of biological formation—lies at the heart of Kant’s conception of reason. As Mensch argues, epigenesis was not simply a metaphor for Kant but centrally guided his critical philosophy, especially the relationship between reason and the categories of the understanding. Offsetting a study of Kant’s highly technical theory of cognition with a mixture of intellectual history and biography, she situates the epigenesis of reason within broader investigations into theories of generation, genealogy, and classification, and against later writers and thinkers such as Goethe and Darwin. Distilling vast amounts of research on the scientific literature of the time into a concise and readable book, Mensch offers one of the most refreshing looks not only at Kant’s famous first Critique but at the history of philosophy and the life sciences as well.

Realism And Anti Realism

Author : Stuart Brock
ISBN : 9781317494263
Genre : Philosophy
File Size : 20. 22 MB
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There are a bewildering variety of ways the terms "realism" and "anti-realism" have been used in philosophy and furthermore the different uses of these terms are only loosely connected with one another. Rather than give a piecemeal map of this very diverse landscape, the authors focus on what they see as the core concept: realism about a particular domain is the view that there are facts or entities distinctive of that domain, and their existence and nature is in some important sense objective and mind-independent. The authors carefully set out and explain the different realist and anti-realist positions and arguments that occur in five key domains: science, ethics, mathematics, modality and fictional objects. For each area the authors examine the various styles of argument in support of and against realism and anti-realism, show how these different positions and arguments arise in very different domains, evaluate their success within these fields, and draw general conclusions about these assorted strategies. Error theory, fictionalism, non-cognitivism, relativism and response-dependence are taken as the most important positions in opposition to the realist and these are explored in depth. Suitable for advanced level undergraduates, the book offers readers a clear introduction to a subject central to much contemporary work in metaphysics, epistemology and philosophy of language.

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