The No-No Paradox Is a Paradox

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 is mistaken: situated within an appropriate background theory of truth, the statements comprising the No-No Paradox are genuinely paradoxical in the same sense as is the Liar (and thus, on Sorensen's view, must fail to have truth values). This result has consequences beyond Sorensen's semantic framework. In particular, the No-No Paradox, properly understood, is not only a new paradox, but also provides us with a new type of paradox, one which depends upon a general background theory of the truth predicate in a way that the Liar Paradox and similar constructions do not.     

On a Paradox of Hilbert and Bernays

The paper is a discussion of a result of Hilbert and Bernays in their Grundlagen der Mathematik. Their interpretation of the result is similar to the standard intepretation of Tarskis Theorem. This and other interpretations are discussed and shown to be inadequate. Instead, it is argued, the result refutes certain versions of Meinongianism. In addition, it poses new problems for classical logic that are solved by dialetheism.     

Paradox as a Treatment for Writer's Block

Writer's block can be devastating to a student's career, at times even leading to academic failure. This article discusses the application of innovative techniques that have proven effective in alleviating writer's block.     

Truthlikeness and the Lottery Paradox via the Preface Paradox

In a 2017 AJP paper, Cevolani and Schurz (C&S) propose a novel solution to the Preface Paradox that appeals to the notion of expected truthlikeness. This discussion note extends and analyses their approach by applying it to the related Lottery Paradox.     

The Cookie Paradox

We’ve all been at parties where there's one cookie left on what was once a plate full of cookies, a cookie no one will eat simply because everyone is following a rule of etiquette, according to which you’re not supposed to eat the last cookie. Or at least we think everyone is following this rule, but maybe not. In this paper I present a new paradox, the Cookie Paradox, which is an argument that seems to prove that in any situation in which everyone is truly following the rule, no one eats any cookies at all, no matter how many there are to be eaten. The ‘Cookie Argument’ resembles the more familiar argument that surprise exams are impossible, but it's not exactly the same. I argue that the biggest difference is that, unlike the surprise exam argument, the Cookie Argument is actually sound! I conclude the paper by explaining how it could be possible for a group of people to engage in behavior (eating cookies) that guarantees that at least one of the members of the group will violate a rule, even when it's common knowledge in the group that everyone is committed to following that very rule.

Sometimes me think, “What is friend?” and then me say, “Friend is someone to share the last cookie with.” ‐ Cookie Monster, http://youtu.be/LHh0A_bH5ig 1 1 I’m grateful to Eric Carter for this quote.

     

On a so‐Called Solution to a Paradox

The mooronic solution to the surprise quiz paradox says students know there will be a surprise quiz one day this week but they lose this knowledge on the penultimate day. This is because ‘there will be a surprise quiz one day this week’ then becomes an instance of Moore's paradox. This view has surprising consequences. Furthermore, even though the surprise quiz announcement becomes an instance of Moore's paradox on the penultimate day, this does not prevent the students from knowing the quiz is coming. I conclude that the first stage of the paradoxical argument succeeds and the mooronic solution fails.     

道德悖论视阈中的德福悖论

德行与幸福的关系问题是道德哲学的重要问题.德行是否与幸福保持一致直接影响到人们对某种道德理论的判断和评价.运用道德悖论理论可以帮助我们从一种新的视角来分析、理解二者之间的关系.现代德性伦理所追求的提升道德主体的整体德性,对于克服功利主义和单纯义务论对德福关系的简单理解.正确理解德福悖论具有借鉴意义.     

Platitudes against Paradox

We present a strategy to dissolve semantic paradoxes which proceeds from an explanation of why paradoxical sentences or their definitions are semantically defective. This explanation is compatible with the acceptability of impredicative definitions, self-referential sentences and semantically closed languages and leaves the status of the so-called truth-teller sentence unaffected. It is based on platitudes which encode innocuous constraints on successful definition and successful expression of propositional content. We show that the construction of liar paradoxes and of certain versions of Curry’s paradox rests on presuppositions that violate these innocuous constraints. Other versions of Curry’s paradox are shown not to be paradoxical at all once their presuppositions are made explicit. Part of what we say rehearses a proposal originally made by Laurence Goldstein in 1985. Like Goldstein we dispose of certain paradoxes by rejecting some of the premises from which they must be taken to proceed. However, we disagree with his more recent view that the premises to be rejected are neither true nor false.