Sant'Anna, Adonai and Bueno, Otavio and da Costa, Newton (2014) A Set-Theoretic Predicate for Semantics in Natural and Formal Languages. [Preprint]

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Abstract

We present an axiomatic framework for semantics that can be applied to natural and formal languages. Our main goal is to suggest a very simple mathematical model that describes fundamental cognitive aspects of the human brain and that can still be applied to artificial intelligence. One of our main results is a theorem that allows us to infer syntactical properties of a language out of its corresponding semantics. The role of pragmatics in semantics in our mathematical framework is also discussed.

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Item Type:	Preprint
Creators:	Creators Email ORCID Sant'Anna, Adonai adonaisantanna@gmail.com Bueno, Otavio da Costa, Newton
Keywords:	Semantics, syntax, language
Subjects:	Specific Sciences > Cognitive Science General Issues > Formal Learning Theory Specific Sciences > Mathematics
Depositing User:	Dr. Adonai Sant'Anna
Date Deposited:	20 Aug 2014 18:50
Last Modified:	20 Aug 2014 18:50
Item ID:	10969
Subjects:	Specific Sciences > Cognitive Science General Issues > Formal Learning Theory Specific Sciences > Mathematics
Date:	2014
URI:	https://philsci-archive.pitt.edu/id/eprint/10969

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