Unity, Truth and the Liar - The Modern Relevance of Medieval Solutions to the Liar Paradox
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1 TRUTH & TRANSCENDENCE : Turning the Tables on the Liar Paradox
I. A Methodological Turnaround. Confronting the Liar Paradox is commonly viewed as a prerequisite for developing a theory of truth. As soon as the truth theorist accepts one of the most minimal principles of truth, the equivalence principle, which in one of its forms is often formulated (schematically) by (E) is true iff (if and only if) P, where “P” stands for any sentence and “” stands...
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Can we solve the Liar paradox by simply declaring Liar sentences to be false? That is the proposal of Dale Jacquette in (Jacquette, 2007). The Liar paradox arises because apparently we can derive a contradiction from the assumption that the Liar sentence is true, and we can also derive a contradiction from the assumption that it is false. Jacquette argues that the former reasoning (i.e., the de...
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This paper presents an approach to truth and the Liar paradox which combines elements of context dependence and hierarchy. This approach is developed formally, using the techniques of model theory in admissible sets. Special attention is paid to showing how starting with some ideas about context drawn from linguistics and philosophy of language, we can see the Liar sentence to be context depend...
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Recently, several philosophers have proposed fictionalist accounts of truthtalk, as a means for resolving the semantic pathology that the Liar Paradox appears to present. These alethic fictionalists aim to vindicate truth-talk as a kind of as if discourse, while rejecting that the talk attributes any real property of truth. Liggins (Analysis 74:566–574, 2014) has recently critically assessed on...
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Philosophical work on truth covers two streams of inquiry, one concerning the nature (if any) of truth, the other concerning truth-related paradox, especially the Liar. For the most part these streams have proceeded fairly independently of each other. In his “Deflationary Truth and the Liar” (JPL 28:455–488, 1999) Keith Simmons argues that the two streams bear on one another in an important way...
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