Saving logic from paradox via nonclassical recapture
Bibliographic Data
| ID | 21370375 |
|---|---|
| Authors | Luca Castaldo (0000-0002-3103-8568, University of Florence, corresponding author) |
| Year | 2024 |
| Volume | 181 |
| Issue | 6-7 |
| Pages | 1547-1563 |
| Publication date | 2024-07-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Philosophical Studies (JOURNAL) |
| Journal identifiers | ISSN: 0031-8116 • E-ISSN: 1573-0883 |
| Publisher | Springer Science and Business Media LLC (PUBLISHER) |
| DOI | 10.1007/s11098-024-02151-5 |
| OpenAlex | W4399259677 |
| Language | EN |
| References cited | 46 |
The Liar paradox arguably shows that a coherent and self-applicable notion of truth is governed by nonclassical logic. It then seems natural to conclude that classical logic is inadequate for defining a truth theory. In this article, we argue that this is not the case. In the spirit of Reinhardt (Math Logic Formal Syst 94:227, 1985; J Philos Logic 15:219–251, 1986), and in analogy with Hilbert’s program for the foundation of classical mathematics, we will articulate an instrumentalist justification for the use classical logic: it will be argued that classical reasoning is a useful but dispensable instrument , which can yield philosophically adequate truth theories
Epistemology · Mark and recapture · Metaphysics · Philosophy of language · Philosophy of mind · Sociology · Census and Population Estimation · Computer Science · Philosophy
An Introduction to Non-Classical Logic
Spandrels of Truth
Saving Truth From Paradox
Anti-exceptionalism about logic
Semantic Paradoxes and Abductive Methodology
Outline of a Theory of Truth
On the Costs of Classical Logic
Classical recapture and maximality
The logic of paradox
Is the Hype about strength warranted
In defence of PKF
The Tarskian Turn
| Highly cited | No |
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