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Originally published in 1962. This book gives an account of the concepts and methods of a basic part of logic. In chapter I elementary ideas, including those of truth-functional argument and truth-functional validity, are explained. Chapter II begins with a more comprehensive account of truth-functionality; the leading characteristics of the most important monadic and dyadic truth-functions are described, and the different notations in use are set forth. The main part of the book describes and explains three different methods of testing truth-functional aguments and agument forms for validity: the truthtable method, the deductive method and the method of normal forms; for the benefit mainly of readers who have not acquired in one way or another a general facility in the manipulation of symbols some of the procedures have been described in rather more detail than is common in texts of this kind. In the final chapter the author discusses and rejects the view, based largely on the so called paradoxes of material implication, that truth-functional logic is not applicable in any really important way to arguments of ordinary discourse.
Provides an essential introduction to classical logic.
This work makes available to readers without specialized training in mathematics complete proofs of the fundamental metatheorems of standard (i.e., basically truth-functional) first order logic. Included is a complete proof, accessible to non-mathematicians, of the undecidability of first order logic, the most important fact about logic to emerge from the work of the last half-century. Hunter explains concepts of mathematics and set theory along the way for the benefit of non-mathematicians. He also provides ample exercises with comprehensive answers.
This text provides a straightforward, lively but rigorous, introduction to truth-functional and predicate logic, complete with lucid examples and incisive exercises, for which Warren Goldfarb is renowned.
In this challenging and provocative analysis, Dale Jacquette argues that contemporary philosophy labours under a number of historically inherited delusions about the nature of logic and the philosophical significance of certain formal properties of specific types of logical constructions. Exposing some of the key misconceptions about formal symbolic logic and its relation to thought, language and the world, Jacquette clears the ground of some very well-entrenched philosophical doctrines about the nature of logic, including some of the most fundamental seldom-questioned parts of elementary propositional and predicate-quantificational logic. Having presented difficulties for conventional ways of thinking about truth functionality, the metaphysics of reference and predication, the role of a concept of truth in a theory of meaning, among others, Jacquette proceeds to reshape the network of ideas about traditional logic that philosophy has acquired along with modern logic itself. In so doing Jacquette is able to offer a new perspective on a number of existing problems in logic and philosophy of logic.
In arguably the finest text ever written in the philosophy of social science, Abraham Kaplan emphasizes what unites the behavioral sciences more than what distinguishes them from one another. Kaplan avoids the bitter disputes among people doing methodology, claiming instead that what is important are those qualities intrinsic to the overall aspirations of the social sciences. He deals with special problems of various disciplines only so far as may be helpful in clarifying the general method of inquiry. The Conduct of Inquiry is a systematic, rounded, and wide-ranging inquiry into behavioral science. Kaplan is guided by the experience of sciences with longer histories, but he is bound neither to their problems nor to their solutions. Instead, he addresses the methodology of behavioral science in the broad sense of both method and science. The work is not a formal exercise in the philosophy of science but rather a critical and constructive assessment of the developing standards and strategies of contemporary social inquiry. He emphasizes the tasks, achievements, limitations, and dilemmas of the newer disciplines. Philosophers of science usually choose to write about the most fully developed sciences because problems are clearer there. The result is ordinarily of little benefit to the behavioral scientist, whose task is clarification of method; here the precedents and analogies of physical science are obscure or inappropriate. The Conduct of Inquiry goes a long way in drawing upon the strengths of social research insights without simplifying the common concerns of the scientific enterprise as a whole. As Leonard Broom noted when the book initially appeared: "Kaplan fills a gap and does so with admirable clarity and often engaging wit. It lacks pomposity, pedantry, and pretension, and it is bound to make an impact on the teaching of and, with luck, research in the behavioral sciences."
"A delightful book … I should like to have written it myself." — Bertrand Russell First published in 1936, this first full-length presentation in English of the Logical Positivism of Carnap, Neurath, and others has gone through many printings to become a classic of thought and communication. It not only surveys one of the most important areas of modern thought; it also shows the confusion that arises from imperfect understanding of the uses of language. A first-rate antidote for fuzzy thought and muddled writing, this remarkable book has helped philosophers, writers, speakers, teachers, students, and general readers alike. Mr. Ayers sets up specific tests by which you can easily evaluate statements of ideas. You will also learn how to distinguish ideas that cannot be verified by experience — those expressing religious, moral, or aesthetic experience, those expounding theological or metaphysical doctrine, and those dealing with a priori truth. The basic thesis of this work is that philosophy should not squander its energies upon the unknowable, but should perform its proper function in criticism and analysis.
Do you know what economists mean when they refer to you as a "rational agent"? Or why a psychologist might label your idea a "creative insight"? After reading this book, you will know how the best and brightest thinkers judge the ways we decide, argue, solve problems, and tell right from wrong.