Forcing and Classifying Topoi

Author: Andrej Ščedrov

Publisher: American Mathematical Soc.

ISBN: 0821822942

Category: Mathematics

Page: 93

View: 1782


Categories for the Working Philosopher

Author: Elaine Landry

Publisher: Oxford University Press

ISBN: 019874899X

Category: Mathematics

Page: 528

View: 3643

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

Author: Jean-Pierre Marquis

Publisher: Springer Science & Business Media

ISBN: 1402093845

Category: Science

Page: 310

View: 6552

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

Author: Jonathan Chapman,Frederick Rowbottom

Publisher: Oxford University Press, USA


Category: Mathematics

Page: 263

View: 7977

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

Author: Robert Andrew George Seely,Canadian Mathematical Society

Publisher: American Mathematical Soc.

ISBN: 9780821860182

Category: Mathematics

Page: 447

View: 2552

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

Author: R R Bowker Publishing,[Anonymus AC01535147]

Publisher: R. R. Bowker

ISBN: 9780835239400


Page: N.A

View: 8226



Author: N.A

Publisher: N.A


Category: American literature

Page: N.A

View: 3941


Gewalt als Gottesdienst

Religionskriege im Zeitalter der Globalisierung

Author: Hans Gerhard Kippenberg

Publisher: C.H.Beck

ISBN: 9783406494666

Category: Globalization

Page: 272

View: 5914


Mathematical works

Author: Helmut Wielandt

Publisher: Walter de Gruyter

ISBN: 9783110124538

Category: Mathematics

Page: 802

View: 9292

Contains all the mathematical works of the 20th-century German mathematician except those on group theory, which comprise the first volume. Most are on matrix theory. Among them are 24 research papers arranged chronologically, many with commentary by specialists; lecture notes on the analytic theory of matrix groups; his series of contributions to the mathematical treatment of complex eigenvalue problems prepared during the Second World War; and 1973 lecture notes on selected topics of permutation groups. About half of the pieces are in German. No index. Annotation copyrighted by Book News, Inc., Portland, OR