The fundamental texts of the great classical period in modern logic, some of them never before available in English translation, are here gathered together for ...

A formal theory of truth, alternative to tarski's 'orthodox' theory, based on truth-value gaps, is presented. the theory is proposed as a fairly plausible model for natural language and as one which allows rigorous definitions to be given for various intuitive concepts, such as those of 'grounded' and 'paradoxical' sentences.

To an ordinary translator, the idea that there are too many perfect translation schemes between any two languages would come as a surprise. Quine's thesis of the indeterminacy of translation expresses just this idea. It implies that most of the 'implicit canons' actual translators use in their assessment of translations lack objective status. My dissertation is an attempt to present a systematic challenge to Quine's view of language and to support the idea that one could develop an objective theory of (...) translation which is also faithful to actual translation practices. ;I expose a non-superficial similarity between external-world scepticism and Quine's meaning-scepticism, and deploy against Quine an objection which closely resembles his own objection to external-world scepticism. I then develop a new interpretation of Quine's reasoning, according to which denying objective status to intuitive 'meanings' is Quine's way of avoiding a sceptical problem about what other people 'really' mean. ;I argue that the intelligibility of Quine's meaning-scepticism turns on an implicit contrast between the perspective of the theorist of language and the perspective of the user of language. Quine's defense of his scepticism features a theorist of language trying to probe an alien language-- a 'radical translator' -- who reasons that her own judgments as a language user lack objective status. ;I take issue with the use Quine makes of the above contrast. I first argue that understanding the goal of radical translators requires knowing what is to be expected of an adequate translation scheme. Since this is something we learn from experience with existing translation schemes, I offer a pre-theoretic description of the practice of translation between known languages. I show how ordinary translators' assessments of the quality of given translations derive from systematic judgments they make as language-users. It is these sorts of judgments that guide actual radical translators in ruling out bizarre alternative translations of the kind Quine entertains in defending his scepticism. A proper theoretical account of radical translation, I conclude, must begin with-- and include-- the perspective of the radical translator as a language-user. (shrink)

This book is about one of the most baffling of all paradoxes – the famous Liar paradox. Suppose we say: 'We are lying now'. Then if we are lying, we are telling the truth; and if we are telling the truth we are lying. This paradox is more than an intriguing puzzle, since it involves the concept of truth. Thus any coherent theory of truth must deal with the Liar. Keith Simmons discusses the solutions proposed by medieval philosophers and offers (...) his own solutions and in the process assesses other attempts to solve the paradox. Unlike such attempts, Simmons' 'singularity' solution does not abandon classical semantics and does not appeal to the kind of hierarchical view found in Barwise's and Etchemendy's The Liar. Moreover, Simmons' solution resolves the vexing problem of semantic universality – the problem of whether there are semantic concepts beyond the expressive reach of a natural language such as English. (shrink)

Bringing together powerful new tools from set theory and the philosophy of language, this book proposes a solution to one of the few unresolved paradoxes from antiquity, the Paradox of the Liar. Treating truth as a property of propositions, not sentences, the authors model two distinct conceptions of propositions: one based on the standard notion used by Bertrand Russell, among others, and the other based on J.L. Austin's work on truth. Comparing these two accounts, the authors show that while the (...) Russellian conception of the relation between sentences, propositions, and truth is crucially flawed in limiting cases, the Austinian perspective has fruitful applications to the analysis of semantic paradox. In the course of their study of a language admitting circular reference and containing its own truth predicate, Barwise and Etchemendy also develop a wide range of model-theoretic techniques--based on a new set-theoretic tool, Peter Aczel's theory of hypersets--that open up new avenues in logical and formal semantics. (shrink)

If we try to evaluate the sentence on line 1 we ¯nd ourselves going in an unending cycle. For this reason alone we may conclude that the sentence is not true. Moreover we are driven to this conclusion by an elementary argument: If the sentence is true then what it asserts is true, but what it asserts is that the sentence on line 1 is not true. Consequently the sentence on line 1 is not true. But when we write this (...) true conclusion on line 2 we ¯nd ourselves repeating the very same sentence. It seems that we are unable to deny the truth of the sentence on line 1 without asserting it at the same time. (shrink)

First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

In 1905, Richard discovered his paradox of definability, and in a letter written that year he presented both the paradox and a solution to it.Soon afterwards, Poincaré endorsed a variant of Richard?s solution.In this paper, I critically examine Richard?s and Poincaré?s ways out.I draw on an objection of Peano?s, and argue that their stated solutions do not work.But I also claim that their writings suggest another way out, different from their stated solutions, and different from the orthodox Tarskian approach.I argue (...) that this second solution does not prevent the return of the paradox. (shrink)