The Liar:An Essay on Truth and Circularity
Oxford University Press, USA, Jun 25, 1987 - Language Arts & Disciplines - 208 pages
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.
What people are saying - Write a review
We haven't found any reviews in the usual places.
Other editions - View all
actual situation Aczel’s assertion atomic sentences Austinian account Austinian propositions axiom of foundation basic Chapter circular claims Claire Coalgebra coherence conditions coherent conception consider constituent containing deﬁne deﬁnition depicted determinate truth values equations example Exercise Existence Theorem express a proposition F-closure falsity ﬁnd ﬁnite ﬁrst ﬁxed point hypersets indeterminates intuitions involved Kripke Kripke’s language Liar cycle Liar paradox Liar proposition Liar sentence logic maximal models node normal form sentences notion numbers parameter Peter Aczel PrePROP proof proof theory PROP proper class propo proposition expressed real situations refer Reﬂection Theorem relation Russellian account Russellian model Russellian propositions satisﬁes semantical facts semantically closed sentence go sentences express set theory set-theoretic signiﬁcant simply sition Solution Lemma statement subset T-closed T-schema tences three of clubs tions Tr,p transitive closure treatment true proposition True(this truth value Truth-teller unique wellfounded ZFC/AFA