Williamson, Timothy (2018) Supervaluationism and good reasoning. THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (3). pp. 521-537. ISSN 2171-679X
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Abstract
This paper is a tribute to Delia Graff Fara. It extends her work on failures of meta-rules (conditional proof, RAA, contraposition, disjunction elimination) for validity as truth-preservation under a supervaluationist identification of truth with supertruth. She showed that such failures occur even in languages without special vagueness-related operators, for standards of deductive reasoning as materially rather than purely logically good, depending on a context-dependent background. This paper extends her argument to: quantifier meta-rules like existential elimination; ambiguity; deliberately vague standard mathematical notation. Supervaluationist attempts to qualify the meta-rules impose unreasonable cognitive demands on reasoning and underestimate her challenge.
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Item Type: | Published Article or Volume | ||||||
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Additional Information: | ISSN: 0495-4548 (print) | ||||||
Keywords: | Delia Graff Fara, supervaluationism, supertruth, global validity, vagueness, sorites, ambiguity, meta-rule | ||||||
Subjects: | Specific Sciences > Mathematics > Logic Specific Sciences > Mathematics > Methodology General Issues > Structure of Theories |
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Depositing User: | Unnamed user with email theoria@ehu.es | ||||||
Date Deposited: | 13 Dec 2018 18:13 | ||||||
Last Modified: | 13 Dec 2018 18:13 | ||||||
Item ID: | 15447 | ||||||
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: | 10.1387/theoria.18490 | ||||||
Subjects: | Specific Sciences > Mathematics > Logic Specific Sciences > Mathematics > Methodology General Issues > Structure of Theories |
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Date: | September 2018 | ||||||
Page Range: | pp. 521-537 | ||||||
Volume: | 33 | ||||||
Number: | 3 | ||||||
ISSN: | 2171-679X | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/15447 |
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