Categories(English, Paperback, Schubert Horst)

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Categorical methods of speaking and thinking are becoming more and more widespread in mathematics because they achieve a unifi cation of parts of different mathematical fields; frequently they bring simplifications and provide the impetus for new developments. The purpose of this book is to introduce the reader to the central part of category theory and to make the literature accessible to the reader who wishes to go farther. In preparing the English version, I have used the opportunity to revise and enlarge the text of the original German edition. Only the most elementary concepts from set theory and algebra are assumed as prerequisites. However, the reader is expected to be mathe to follow an abstract axiomatic approach. matically sophisticated enough The vastness of the material requires that the presentation be concise, and careful cooperation and some patience is necessary on the part of the reader. Definitions alway precede the examples that illuminate them, and it is assumed that the reader is familiar with some of the algebraic and topological examples (he should not let the other ones confuse him). It is also hoped that he will be able to explain the con cepts to himself and that he will recognize the motivation.

Price:   7,356.00

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This volume addresses the subject of categories: What are they? How are they used in speaking and thinking? What role do they play in our moral deliberations? Why are there different sorts of categories? And are categories independent of our thinking and speaking, giving objective form to the world we aim to think and speak about? These and other questions concerning categories have been part of philosophy from the very beginning, and they raise foundational issues in metaphysics, epistemology, ethics, and other branches of philosophy. Yet pursuing answers to these questions has proven difficult, because investigations into categories push us to the very limits of what we can know. The essays in this volume, written by a mix of well-established and younger philosophers, bridge divides between historical and systematic approaches in philosophy as well divides between analytical, continental, and American traditions. They offer new interpretations of Aristotle, Confucius, Aquinas, Buridan, Kant, Pierce, Husserl, and Wittgenstein, and they challenge received views on normativity, the value of set theory, the objectivity of category schemes, and other topics. This volume, the first to offer a comprehensive examination of the subject, challenges mainstream positions on category theory. It will be of particular interest to philosophers and others concerned with how the world is divided.

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