The Liar: An Essay on Truth and Circularity
"A splendid book.  [The authors] have striking new ideas and material.  These they have thought through deftly and masterfully....This is a book to seize the philosophical imagination."--Mind"We see fromThe Liarthat the paradoxes are still a source of inspiration and logic.  The book is a new, exciting contribution to the study of truth....It can be read not only as a contribution to the philosophy of language, but also as an interesting application of a theory of sets. It contains interesting theorems and in turn it will stimulate purely mathematical work."--Larry Moss,Bulletin of the American Math Society"Exploiting Peter Aczel's theory of 'hypersets'...the authors propose an interesting new solution to the liar paradox....The Liaris a significant addition to the recent best literature on the paradox."--Choice"The work grew out of research aimed at drawing up a mathematically rigorous account of language, so that computers can understand human speech....In their book the two logicians put forward a theory of language that includes explicitly some of the 'contextual parameters' so far left out of logic, but now shown to be crucial to understanding."--London Times"This delightful book is a self-contained account of the Liar paradox, complete with a formal syntax and proof theory, semantics and proofs of the theorems.  It should be of interest to more than just Liar specialists, however, because of the new semantic techniques it introduces."--The CanadianPhilosophical Reviews