Dec 6, 1996 · Category theory has come to occupy a central position in contemporary mathematics and theoretical computer science, and is also applied to mathematical physics. …

Category theory is a generalized mathematical theory of structures. One of its goals is to reveal the universal properties of structures of a given kind via their relationships with one another.

Feb 8, 2006 · We limit ourselves to presenting two applications of type theory to category theory: the constructions of the free cartesian closed category and of the free topos (see the entry on …

Category Theory Category theory now occupies a central position not only in contemporary mathematics, but also in theoretical computer science and even in mathematical physics. It …

Jul 5, 2019 · Indeed, this is part of what makes category mistakes a particularly important topic: a theory of what makes category mistakes unacceptable can potentially shape our theories of …

Jun 3, 2004 · A system of ontological categories drawn out in any of these modes has the potential for a great many uses in philosophy, but those who would offer such systems of …

Sep 7, 2007 · It is commonplace in contemporary Aristotle scholarship to view the Categories as an early work and to think that Aristotle had not developed his theory of form and matter until …

Mar 5, 2015 · Especially in set theory, category theory, algebra, and topology, there are various kinds of “-morphisms,” viz., of mapping relations between two structures or models.

May 12, 2008 · The prevalent scientific view from Ancient Greeks until the late 18 th century, did not consider female and male sexes to be distinct categories with specific traits; instead, a …

Apr 14, 2006 · This entry is intended as a brief and general introduction to the development of category theory from the beginning of the Middle Ages, in the sixth century, to the Silver Age …