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2014 | OriginalPaper | Chapter

Semantic Defectiveness: A Dissolution of Semantic Pathology

Authors : Bradley Armour-Garb, James A. Woodbridge

Published in: Recent Trends in Philosophical Logic

Publisher: Springer International Publishing

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Abstract

The Liar Paradox and its kin appear to show that there is something wrong with—something pathological about—certain firmly held principles or beliefs. It is our view that these appearances are deceiving. In this paper, we provide both a diagnosis and a treatment of apparent semantic pathology, explaining these appearances without semantic or logical compromise.

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Footnotes
1
See Chihara [10] on the notions of diagnosis and treatment for semantic pathology.
 
2
The original version of the pretense account appears in Woodbridge [23]. For the current, improved version, see our [5, 8].
 
3
See [9, 15], for explicitly anaphoric accounts.
 
4
For instance, in addition to the accounts cited in Footnote 2, see the deflationary accounts given in [11, 18]. For a general account of deflationary accounts of truth, see Armour-Garb [3].
 
5
See [1, 6, 12, 13] for discussion of the meaningless strategy in dealing with the Liar Paradox.
 
6
See Grover [14] for the inspiration for this explanation. As should be clear, the loop may be made as wide as one pleases.
 
7
See our [4, 6, 8, 24]. Sorensen [1921] calls this sort of case “the no-no paradox”.
 
8
Kripke [16, p. 693] and Grover [14, p. 597].
 
9
We will explain how to apply the diagnosis to Curry’s Paradox below.
 
10
For a speech act solution to the Liar Paradox, see [17, 22].
 
11
For more on this, see our [7, 8].
 
12
We are assuming the conditional is the material conditional, both here and in what follows.
 
13
Armour-Garb and Woodbridge [6].
 
14
The symbol ‘\(\bot \)’ here can be read as an expression of trivialism, i.e., “everything is true”.
 
15
Woodbridge and Armour-Garb [24] and Armour-Garb and Woodbridge [4, 6, 8].
 
16
See Goldstein [13].
 
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Metadata
Title
Semantic Defectiveness: A Dissolution of Semantic Pathology
Authors
Bradley Armour-Garb
James A. Woodbridge
Copyright Year
2014
DOI
https://doi.org/10.1007/978-3-319-06080-4_1

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