Book ID: CBB001251210

From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory (2009)

unapi

Marquis, Jean-Pierre (Author)


Springer


Publication Date: 2009
Physical Details: x + 309 pp.; ill.; bibl.; index
Language: English

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.

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Reviewed By

Review McLarty, Colin (2012) Review of "From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory". Historia Mathematica (pp. 475-479). unapi

Citation URI
https://data.isiscb.org/isis/citation/CBB001251210/

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Authors & Contributors
Zellini, Paolo
Halák, Jan
Read, Stephen
Welsh, Whitney Elizabeth
Wagner, Roy
Sutherland, Daniel
Concepts
Philosophy of mathematics
Mathematics
Geometry
Philosophy
Logic
Western world, civilization and culture
Time Periods
Ancient
19th century
17th century
20th century, early
18th century
16th century
Places
Italy
England
Greece
Germany
France
Europe
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