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Problemas para a Explicação Matemática.

Authors :
CASTRO, EDUARDO
Source :
Revista Portuguesa de Filosofia; 2017, Vol. 73 Issue 3/4, p1437-1461, 25p
Publication Year :
2017

Abstract

Mathematical proofs aim to establish the truth of mathematical propositions by means of logical rules. Some recent literature in philosophy of mathematics alleges that some mathematical proofs also reveal why the proved mathematical propositions are true. These mathematical proofs are called explanatory mathematical proofs. In this paper, I present and discuss some salient problems around mathematical explanation: the existence problem, the normative problem, the explanandum problems of truth value and psychological value, the logical structure problem, the regress problem and the modelling problem. At the end, I sum up two contemporary models for mathematical explanation - the deductive-nomological model and the model of Steiner. I analyse these models against the previous problems. [ABSTRACT FROM AUTHOR]

Details

Language :
Portuguese
ISSN :
08705283
Volume :
73
Issue :
3/4
Database :
Complementary Index
Journal :
Revista Portuguesa de Filosofia
Publication Type :
Academic Journal
Accession number :
127837529
Full Text :
https://doi.org/10.17990/RPF/2017_73_3_1437