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  1. Truthmaker Gaps and the No-No Paradox.Patrick Greenough - 2011 - Philosophy and Phenomenological Research 82 (3):547 - 563.
    Consider the following sentences: The neighbouring sentence is not true. The neighbouring sentence is not true. Call these the no-no sentences. Symmetry considerations dictate that the no-no sentences must both possess the same truth-value. Suppose they are both true. Given Tarski’s truth-schema—if a sentence S says that p then S is true iff p—and given what they say, they are both not true. Contradiction! Conclude: they are not both true. Suppose they are both false. Given Tarski’s falsity-schema—if a sentence S (...)
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  • Semantic Paradox: A Comparative Analysis of Scholastic and Analytic Views.Miroslav Hanke - 2014 - Res Philosophica 91 (3):367-386.
    Scholastic and analytic definitions of semantic paradoxes, in terms of groundlessness, circularity, and semantic pathology, are introduced and compared with each other. The fundamental intuitions used in these definitions are the concepts of being true about extralinguistic reality, of making statements about one’s self, and of compatibility with an underlying semantic theory. The three approaches—the groundlessness view, the circularity view, and the semantic pathology view—are shown to differ not only conceptually, but also in their applications. As both a means for (...)
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  • The No-No Paradox Is a Paradox.Roy T. Cook - 2011 - Australasian Journal of Philosophy 89 (3):467-482.
    The No-No Paradox consists of a pair of statements, each of which ?says? the other is false. Roy Sorensen claims that the No-No Paradox provides an example of a true statement that has no truthmaker: Given the relevant instances of the T-schema, one of the two statements comprising the ?paradox? must be true (and the other false), but symmetry constraints prevent us from determining which, and thus prevent there being a truthmaker grounding the relevant assignment of truth values. Sorensen's view (...)
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  • Truthmakers, Paradox and Plausibility.Bradley Armour-Garb & James A. Woodbridge - 2010 - Analysis 70 (1):11-23.
    In a series of articles, Dan Lopez De Sa and Elia Zardini argue that several theorists have recently employed instances of paradoxical reasoning, while failing to see its problematic nature because it does not immediately (or obviously) yield inconsistency. In contrast, Lopez De Sa and Zardini claim that resultant inconsistency is not a necessary condition for paradoxicality. It is our contention that, even given their broader understanding of paradox, their arguments fail to undermine the instances of reasoning they attack, either (...)
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  • Paradoxical Hypodoxes.Alexandre Billon - forthcoming - Synthese 83.
    Most paradoxes of self-reference have a dual or ‘hypodox’. The Liar paradox (Lr = ‘Lr is false’) has the Truth-Teller (Tt = ‘Tt is true’). Russell’s paradox, which involves the set of sets that are not self-membered, has a dual involving the set of sets which are self-membered, etc. It is widely believed that these duals are not paradoxical or at least not as paradoxical as the paradoxes of which they are duals. In this paper, I argue that some paradox’s (...)
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  • The Pathology of Validity.James A. Woodbridge & Bradley Armour-Garb - 2008 - Synthese 160 (1):63-74.
    Stephen Read has presented an argument for the inconsistency of the concept of validity. We extend Read's results and show that this inconsistency is but one half of a larger problem. Like the concept of truth, validity is infected with what we call "semantic pathology," a condition that actually gives rise to two symptoms: inconsistency and indeterminacy. After sketching the basic ideas behind semantic pathology and explaining how it manifests both symptoms in the concept of truth, we present cases that (...)
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