Investigações em semânticas construtivas

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Bibliographic Details
Main Author: Oliveira, Hermogenes Hebert Pereira
Publication Date: 2014
Format: Master thesis
Language: por
Source: Repositório Institucional da UFG
Download full: http://repositorio.bc.ufg.br/tede/handle/tede/3103
Summary: Proof-theoretic Semantics provides a new approach to the semantics of logical constants. It has compelling philosophical motivations which are rooted deeply in the philosophy of language and the philosophy of mathematics. We investigate this new approach of logical semantics and its perspective on logical validity in the light of its own philosophical aspirations, especially as represented by the work of Dummett (1991). Among our findings, we single out the validity of Peirce’s rule with respect to a justification procedure based on the introduction rules for the propositional logical constants. This is an undesirable outcome since Peirce’s rule is not considered to be constructively acceptable. On the other hand, we also establish the invalidity of the same inference rule with respect to a justification procedure based on the elimination rules for the propositional logical constants. We comment on the implications of this scenario to Dummett’s philosophical programme and to proof-theoretic semantics in general.