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The Knowability Argument and the Syntactic Type-Theoretic Approach

Rosenblatt, Lucas (2014) The Knowability Argument and the Syntactic Type-Theoretic Approach. THEORIA. An International Journal for Theory, History and Foundations of Science, 29 (2). pp. 201-221. ISSN 2171-679X

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Abstract

Some attempts have been made to block the Knowability Paradox and other modal paradoxes by adopting a type-theoretic framework in which knowledge and necessity are regarded as typed predicates. The main problem with this approach is that when these notions are simultaneously treated as predicates, a new kind of paradox appears. I claim that avoiding this paradox either by weakening the Knowability Principle or by introducing types for both predicates is rather messy and unattractive. I also consider the prospect of using the truth predicate to emulate other modal notions. It turns out that this idea works quite well.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Rosenblatt, Lucasl_rosenblatt@hotmail.com
Additional Information: ISSN: 0495-4548 (print)
Keywords: Knowability Argument; Type-theoretic approach; Self-reference; Multimodal paradoxes; Truth
Depositing User: Unnamed user with email theoria@ehu.es
Date Deposited: 15 Jul 2014 12:17
Last Modified: 15 Jul 2014 12:17
Item ID: 10864
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.es/ojs/index.php/THEORIA/article/vi...
DOI or Unique Handle: 10.1387/theoria.7225
Date: 1 May 2014
Page Range: pp. 201-221
Volume: 29
Number: 2
ISSN: 2171-679X
URI: https://philsci-archive.pitt.edu/id/eprint/10864

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