Teoria kategorii i niektóre jej logiczne aspekty (Category theory and some of its logical aspects)

Philosophical Problems in Science 64:7-58 (2018)
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Abstract

[The paper is in Polish, an English abstract is given only for information.] This article is intended for philosophers and logicians as a short partial introduction to category theory and its peculiar connection with logic. First, we consider CT itself. We give a brief insight into its history, introduce some basic definitions and present examples. In the second part, we focus on categorical topos semantics for propositional logic. We give some properties of logic in toposes, which, in general, is an intuitionistic logic. We next present two families of toposes whose tautologies are identical with those of classical propositional logic. The relatively extensive bibliography is given in order to support further studies.

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Mariusz Kajetan Stopa
Jagiellonian University

References found in this work

Constructivism in mathematics: an introduction.A. S. Troelstra - 1988 - New York, N.Y.: Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.. Edited by D. van Dalen.
Intuitionism.A. Heyting - 1956 - Amsterdam,: North-Holland Pub. Co..
Intuitionism.A. Heyting - 1956 - Amsterdam,: North-Holland Pub. Co..
Two applications of logic to mathematics.Gaisi Takeuti - 1978 - [Princeton, N.J.]: Princeton University Press.
Structure in mathematics and logic: A categorical perspective.S. Awodey - 1996 - Philosophia Mathematica 4 (3):209-237.

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