Teoria kategorii i niektóre jej logiczne aspekty
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, w...
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| Format: | Article |
| Language: | deu |
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Copernicus Center Press
2018-07-01
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| Series: | Zagadnienia Filozoficzne w Nauce |
| Subjects: | |
| Online Access: | http://zfn.edu.pl/index.php/zfn/article/view/409 |
| Summary: | 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. |
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| ISSN: | 0867-8286 2451-0602 |