On the Categorical Notion of Proto-topos

Authors

DOI:

https://doi.org/10.26512/rfmc.v6i2.22103

Keywords:

propositional languages, categorical semantics, truth morphisms, proto-topos

Abstract

The aim of this paper is to show how is possible to do semantic for propositional languages in a categorical setting different from topos. I propose the definition of two kinds of categories called categories with truth morphisms (CTM) and proto-topos. In categories with truth morphisms, it can be defined the truth functions that correspond to the logical connectives of negation, conjunction, implication and disjunction. In proto-topos, I show that the truth functions defined in CTM’s satisfy certain desirable properties with respect to the truth values true and false.

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Author Biography

Edelcio Gonçalves de Souza, Universidade de São Paulo

Possui graduação, mestrado e doutorado em Filosofia pela Universidade de São Paulo. Fez estágio de pós-doutorado na Stanford University - Center for the Study of Language and Information. Atualmente é professor doutor da Universidade de São Paulo. Tem experiência na área de Filosofia, com ênfase em Lógica, atuando principalmente nos seguintes temas: lógica, lógica abstrata, teoria de modelos para linguagens infinitárias.

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Published

2018-12-28

How to Cite

DE SOUZA, Edelcio Gonçalves. On the Categorical Notion of Proto-topos. Journal of Modern and Contemporary Philosophy, [S. l.], v. 6, n. 2, p. 105–114, 2018. DOI: 10.26512/rfmc.v6i2.22103. Disponível em: https://periodicos.unb.br/index.php/fmc/article/view/22103. Acesso em: 2 oct. 2024.

Issue

Vol. 6 No. 2 (2018): Dossiê "Colóquio UnB-USP de Lógica e Filosofia da Lógica"

Section

Dossier

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