The Epistemic Conception of Vagueness

2021 ◽  
pp. 181-208
Author(s):  
Crispin Wright

This chapter challenges Epistemicism. It rebuts Williamson’s arguments for unrestricted Bivalence, based on the Disquotational Scheme for the truth predicate, and Sorensen’s arguments that the idea of a predicate’s being of limited sensitivity is itself incoherent. The chapter nevertheless proposes a broadly epistemic conception of what a definite case of a vague predicate is—namely, a case where at least one of two conflicting verdicts about a vague predication must involve some kind of cognitive shortcoming, and proposes a corresponding notion of a borderline case—one where each of a pair of conflicting verdicts can be unexceptionable—and sides with Epistemicism in rejecting the idea of such cases as truth-value gaps. It is contended that Williamson’s explanation of why we cannot know where the putative sharp cut-offs in Sorites series come at best explains too little, since it has nothing plausible to say about our ignorance throughout a borderline area, nor about vagueness induced by deliberate approximation—‘roughly six feet tall’, ‘about a metre long’.

1995 ◽  
Vol 25 (1) ◽  
pp. 103-117
Author(s):  
Andrew P. Mills

A tempting solution to problems of semantic vagueness and to the Liar Paradox is an appeal to truth-value gaps. It is tempting to say, for example, that, where Harry is a borderline case of bald, the sentence(1)Harry is baldis neither true nor false: it is in the ‘gap’ between these two values, and perhaps deserves a third truth-value. Similarly with the Liar Paradox. Consider the following Liar sentence:(2)(2) is false.That is, sentence (2) says of itself that it is false. If we accept the Tarskian schema(T) S is true iff pwhere ‘S’ is a name of a sentence ‘p,’ we are led into paradox. Both the assumption that (2) is true, and the assumption that (2) is false lead us, via (T), to(3)(2) is true if and only if (2) is false.Given this result, a natural reaction is to place (2) in a ‘gap’ between true and false.


2021 ◽  
pp. 1-13
Author(s):  
Junyeol Kim

Abstract In the explanations of logical laws and inference rules of the mature version of Begriffsschrift in Grundgesetze, Frege uses the predicate “… is the True.” Scholars like Greimann maintain that this predicate is a metalinguistic truth-predicate for Frege. This paper examines an argument for this claim that is based on the “nominal reading” of Frege’s conception of sentences—the claim that for Frege a sentence “ $ p $ ” is equivalent to a nonsentential phrase like “the truth-value of the thought that $ p $ .” In particular, this paper attempts to establish two points concerning this argument based on the nominal reading. First, the argument implies a claim about the nature of assertion which Frege repeatedly denies in his mature works. Secondly, the nominal reading on which the argument depends is false. A sentence “ $ p $ ” is not equivalent to a nonsentential phrase like “the truth-value of the thought that $ p $ ” for Frege. Our discussion will lead to an important lesson about Frege’s conception of sentences and of assertion.


VASA ◽  
2016 ◽  
Vol 45 (2) ◽  
pp. 149-154 ◽  
Author(s):  
Jie Li ◽  
Lei Feng ◽  
Jiangbo Li ◽  
Jian Tang

Abstract. Background: The aim of this meta-analysis was to evaluate the diagnostic accuracy of magnetic resonance angiography (MRA) for acute pulmonary embolism (PE). Methods: A systematic literature search was conducted that included studies from January 2000 to August 2015 using the electronic databases PubMed, Embase and Springer link. The summary receiver operating characteristic (SROC) curve, sensitivity, specificity, positive likelihood ratios (PLR), negative likelihood ratios (NLR), and diagnostic odds ratio (DOR) as well as the 95 % confidence intervals (CIs) were calculated to evaluate the diagnostic accuracy of MRA for acute PE. Meta-disc software version 1.4 was used to analyze the data. Results: Five studies were included in this meta-analysis. The pooled sensitivity (86 %, 95 % CI: 81 % to 90 %) and specificity (99 %, 95 % CI: 98 % to 100 %) demonstrated that MRA diagnosis had limited sensitivity and high specificity in the detection of acute PE. The pooled estimate of PLR (41.64, 95 % CI: 17.97 to 96.48) and NLR (0.17, 95 % CI: 0.11 to 0.27) provided evidence for the low missed diagnosis and misdiagnosis rates of MRA for acute PE. The high diagnostic accuracy of MRA for acute PE was demonstrated by the overall DOR (456.51, 95 % CI: 178.38 - 1168.31) and SROC curves (AUC = 0.9902 ± 0.0061). Conclusions: MRA can be used for the diagnosis of acute PE. However, due to limited sensitivity, MRA cannot be used as a stand-alone test to exclude acute PE.


Author(s):  
Ellen Winner

This book is an examination of what psychologists have discovered about how art works—what it does to us, how we experience art, how we react to it emotionally, how we judge it, and what we learn from it. The questions investigate include the following: What makes us call something art? Do we experience “real” emotions from the arts? Do aesthetic judgments have any objective truth value? Does learning to play music raise a child’s IQ? Is modern art something my kid could do? Is achieving greatness in an art form just a matter of hard work? Philosophers have grappled with these questions for centuries, and laypeople have often puzzled about them too and offered their own views. But now psychologists have begun to explore these questions empirically, and have made many fascinating discoveries using the methods of social science (interviews, experimentation, data collection, statistical analysis).


Author(s):  
Tim Button ◽  
Sean Walsh

This chapter considers whether internal categoricity can be used to leverage any claims about mathematical truth. We begin by noting that internal categoricity allows us to introduce a truth-operator which gives an object-language expression to the supervaluationist semantics. In this way, the univocity discussed in previous chapters might seem to secure an object-language expression of determinacy of truth-value; but this hope falls short, because such truth-operators must be carefully distinguished from truth-predicates. To introduce these truth-predicates, we outline an internalist attitude towards model theory itself. We then use this to illuminate the cryptic conclusions of Putnam's justly-famous paper ‘Models and Reality’. We close this chapter by presenting Tarski’s famous result that truth for lower-order languages can be defined in higher-order languages.


1961 ◽  
Vol 28 (4) ◽  
pp. 414-417
Author(s):  
Hugues Leblanc
Keyword(s):  

2017 ◽  
Vol 10 (3) ◽  
pp. 455-480 ◽  
Author(s):  
BARTOSZ WCISŁO ◽  
MATEUSZ ŁEŁYK

AbstractWe prove that the theory of the extensional compositional truth predicate for the language of arithmetic with Δ0-induction scheme for the truth predicate and the full arithmetical induction scheme is not conservative over Peano Arithmetic. In addition, we show that a slightly modified theory of truth actually proves the global reflection principle over the base theory.


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