TY - JOUR
AU - Stopa, Mariusz
PY - 2018/07/10
Y2 - 2023/10/04
TI - Category theory and some of its logical aspects
JF - Philosophical Problems in Science (Zagadnienia Filozoficzne w Nauce)
JA - ZFN
VL - 0
IS - 64
SE - Articles
DO -
UR - https://zfn.edu.pl/index.php/zfn/article/view/409
SP - 7-58
AB - <p>This article is intended for philosophers and logicians 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.</p>
ER -