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Hilary Putnam on the philosophy of logic and mathematics

Sagüillo, José Miguel (2018) Hilary Putnam on the philosophy of logic and mathematics. THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (2). pp. 183-200. ISSN 2171-679X

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Abstract

I discuss Putnam’s conception of logical truth as grounded in his picture of mathematical practice and ontology. i begin by comparing Putnam’s 1971 Philosophy of Logic with Quine’s homonymous book. Next, Putnam’s changing views on modality are surveyed, moving from the modal pre-formal to the de-modalized formal characterization of logical validity. Section three suggests a complementary view of Platonism and modalism underlying different stages of a dynamic mathematical practice. The final section argues for the pervasive platonistic conception of the working mathematician.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Sagüillo, José Migueljosemiguel.saguillo@usc.es
Additional Information: ISSN: 0495-4548 (print)
Keywords: Putnam, Quine, Logic, Indispensability, Ontology, Scientific Language, Mathematical Practice
Subjects: Specific Sciences > Mathematics > Ontology
Specific Sciences > Mathematics > Practice
Specific Sciences > Mathematics
General Issues > Philosophers of Science
Depositing User: Unnamed user with email theoria@ehu.es
Date Deposited: 20 Jun 2018 17:58
Last Modified: 20 Jun 2018 17:58
Item ID: 14791
Journal or Publication Title: THEORIA. An International Journal for Theory, History and Foundations of Science
Publisher: Euskal Herriko Unibertsitatea / Universidad del País Vasco
Official URL: http://www.ehu.eus/ojs/index.php/THEORIA/article/v...
DOI or Unique Handle: https://doi.org/10.1387/theoria.17626
Subjects: Specific Sciences > Mathematics > Ontology
Specific Sciences > Mathematics > Practice
Specific Sciences > Mathematics
General Issues > Philosophers of Science
Date: May 2018
Page Range: pp. 183-200
Volume: 33
Number: 2
ISSN: 2171-679X
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/14791

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