Teoria kategorii i niektóre jej logiczne aspekty
Category theory and some of its logical aspects
Author(s): Mariusz StopaSubject(s): Philosophy, Logic, Special Branches of Philosophy
Published by: Copernicus Center Press
Keywords: category theory; topos theory; categorical logic; propositional logic; intuitionistic logic; non-classical logic
Summary/Abstract: This article is intended for philosophers as a short partial introduction to category theory (CT) 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.
Journal: Zagadnienia Filozoficzne w Nauce
- Issue Year: 2018
- Issue No: 64
- Page Range: 7-58
- Page Count: 52
- Language: Polish