Tool and Object. A Historic-Philosophy of Category Theory: A History and Philosophy of Category Theory
Category theory is a general mathematical theory of structures and of structures of structures. It occupied a central position in …
Category theory is a general mathematical theory of structures and of structures of structures. It occupied a central position in contemporary mathematics as well as computer science. This book describes the history of category theory whereby illuminating its symbiotic relationship to algebraic topology, homological algebra, algebraic geometry and mathematical logic and elaboratively develops the connections with the epistemological significance.
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Categories. Algebra of. Sub-Objects. Topos semantics. Internal language of a category ... 1) Mathematics ; 2) Logic ; 3) Philosophy of Mathematics. Is analytic ... Category theory also allows us to 'externalize' mathematical ... We are not at the end of our story. ... Lambek and Scott make here a historical point, more or less.
category theory: morphisms are more important then objects,. 2-morphisms ... Two historical figures. Left: Saunders ... They took the notion ”category” from philosophy, i.e. from ... notion category is more then just a tool to understand effects in.
Tool and object. A history and philosophy of category theory. Volume 32 of Science Network Historical Studies. Basel: Birkhäuser, 2007.
2018年1月29日 - Initial and terminal objects, definitions and examples. 47. 6.2 ... to appreciate how category theory gives us a story about the ways in which ... developing tools for imposing some order on what we find? ... shape of their discipline and also to philosophers of mathematics. ... By a historical quirk, received.