Abstract

Chapter I announces the aim of the book, which is, to deal with the question: What is a language? It also registers complaints against current semantical methods. The sections here are closely related to Quine's Two Dogmas, but the author finds himself dissatisfied, not just with analyticity, but also with logical truth, truth, designation. The difficulties are of two orders. In one case they would be dissolved by having general definitions of the terms in question. In the other case we should have to discuss use of a language and that would take us into pragmatics. It turns out that to get our "general" definitions we have to define "language," "logical truth," and "G-designation" all at once, so to speak. Chapter II lays down criteria of adequacy for a definition of "language": two languages are identical if and only if they have the same vocabulary and every expression has the same significance in one language as it has in the other. Now the author has to cope with "significance." In Chapter III, he follows Quine in holding that an extensional languages recognizes at most individuals, truth-values, and classes; and an intensional or modal language recognizes at most individual concepts, properties, and propositions. The author wants to have it both ways: like lots of people, he wants individuals and properties and propositions. To have it both ways, he has to work out a new semantical method ; and since his properties and propositions are not the familiar intensions, he has to call them G-properties and G-propositions. If these entities are named in the language then they are G-designated by their names.