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A Set-Theoretic Predicate for Semantics in Natural and Formal Languages

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:
CreatorsEmailORCID
Sant'Anna, Adonaiadonaisantanna@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: http://philsci-archive.pitt.edu/id/eprint/10969

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