Categories for the Working Philosopher

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Author: Elaine Landry

Publisher: Oxford University Press

ISBN: 019874899X

Category: Mathematics

Page: 528

View: 8739

This is the first volume on category theory for a broad philosophical readership. It is designed to show the interest and significance of category theory for a range of philosophical interests: mathematics, proof theory, computation, cognition, scientific modelling, physics, ontology, the structure of the world. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, in an accessible waythat builds on the concepts that are already familiar to philosophers working in these areas.

From a Geometrical Point of View

A Study of the History and Philosophy of Category Theory

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Author: Jean-Pierre Marquis

Publisher: Springer Science & Business Media

ISBN: 1402093845

Category: Science

Page: 310

View: 2565

From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its significance in the mathematical landscape. The main thesis is that Klein’s Erlangen program in geometry is in fact a particular instance of a general and broad phenomenon revealed by category theory. The volume starts with Eilenberg and Mac Lane’s work in the early 1940’s and follows the major developments of the theory from this perspective. Particular attention is paid to the philosophical elements involved in this development. The book ends with a presentation of categorical logic, some of its results and its significance in the foundations of mathematics. From a Geometrical Point of View aims to provide its readers with a conceptual perspective on category theory and categorical logic, in order to gain insight into their role and nature in contemporary mathematics. It should be of interest to mathematicians, logicians, philosophers of mathematics and science in general, historians of contemporary mathematics, physicists and computer scientists.

Relative category theory and geometric morphisms

a logical approach

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Author: Jonathan Chapman,Frederick Rowbottom

Publisher: Oxford University Press, USA

ISBN: N.A

Category: Mathematics

Page: 263

View: 8417

Topos theory provides an important setting and language for much of mathematical logic and set theory. It is well known that a typed language can be given for a topos to be regarded as a category of sets. This enables a fruitful interplay between category theory and set theory. However, one stumbling block to a logical approach to topos theory has been the treatment of geometric morphisms. This book presents a convenient and natural solution to this problem by developing the notion of a frame relative to an elementary topos. The authors show how this technique enables a logical approach to be taken to topics such as category theory relative to a topos and the relative Giraud theorem. The work is self-contained except that the authors presuppose a familiarity with basic category theory and topos theory. Logicians, set and category theorists, and computer scientist working in the field will find this work essential reading.

Category Theory 1991

Proceedings of an International Summer Category Theory Meeting, Held June 23-30, 1991

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Author: Robert Andrew George Seely,Canadian Mathematical Society

Publisher: American Mathematical Soc.

ISBN: 9780821860182

Category: Mathematics

Page: 447

View: 840

As category theory approaches its first half-century, it continues to grow, finding new applications in areas that would have seemed inconceivable a generation ago, as well as in more traditional areas. The language, ideas, and techniques of category theory are well suited to discovering unifying structures in apparently different contexts. Representing this diversity of the field, this book contains the proceedings of an international conference on category theory. The subjects covered here range from topology and geometry to logic and theoretical computer science, from homotopy to braids and conformal field theory. Although generally aimed at experts in the various fields represented, the book will also provide an excellent opportunity for nonexperts to get a feel for the diversity of current applications of category theory.

Books in Print 1997-98

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Author: R R Bowker Publishing,[Anonymus AC01535147]

Publisher: R. R. Bowker

ISBN: 9780835239400

Category:

Page: N.A

View: 8891

ABPR

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Author: N.A

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 8798

Hüter der Erinnerung

Roman

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Author: Lois Lowry

Publisher: Deutscher Taschenbuch Verlag

ISBN: 3423408480

Category: Juvenile Fiction

Page: 256

View: 1911

Jonas wird zum »Hüter der Erinnerung« ernannt, in einer Welt ohne Not und Schmerz, aber auch ohne Gefühle.

Spectral Synthesis

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Author: John J. Benedetto

Publisher: Springer-Verlag

ISBN: 3322966615

Category: Technology & Engineering

Page: 281

View: 4636

Fünf Minuten Mathematik

100 Beiträge der Mathematik-Kolumne der Zeitung DIE WELT

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Author: Ehrhard Behrends

Publisher: Springer-Verlag

ISBN: 3658009985

Category: Mathematics

Page: 262

View: 8655

Das Buch enthält einen Querschnitt durch die moderne und alltägliche Mathematik. Die 100 Beiträge sind aus der Kolumne "Fünf Minuten Mathematik" hervorgegangen, in der verschiedene mathematische Gebiete in einer für Laien verständlichen Sprache behandelt wurden. Der Leser findet hier den mathematischen Hintergrund und viele attraktive Fotos zur Veranschaulichung der Mathematik. Für die Neuauflage wurde der Text aktualisiert und ergänzt; anhand von QR-Codes können zu verschiedenen Themen kurze Filme bei Youtube abgerufen werden.