This_classic undergraduate text_elegantly acquaints students with the_fundamental concepts and methods of mathematics. In addition to introducing_many noteworthy historical figures_from the 18th through the mid-20th centuries, it examines_the axiomatic method, set theory, infinite sets, the linear continuum and the real number system, groups, intuitionism,_formal systems, mathematical logic, and other topics.

Editorial preface to the fourth edition and modified translation -- The text of the Philosophische Untersuchungen -- Philosophische untersuchungen = Philosophical investigations -- Philosophie der psychologie, ein fragment = Philosophy of psychology, a fragment.

This is identical with the first edition (see 21: 2716) except for the addition of a Supplement containing 5 previously published articles and the bringing of the bibliography (now 73 items) up to date. The 5 added articles present clarifications or modifications of views expressed in the first edition. (PsycINFO Database Record (c) 2009 APA, all rights reserved).

Wittgenstein's work remains, undeniably, now, that off one of those few philosophers who will be read by all future generations.

The Fourth Edition of this long-established text retains all the key features of the previous editions, covering the basic topics of a solid first course in ...

"This book is valuable as expounding in full a theory of meaning that has its roots in the work of Frege and has been of the widest influence.

First published in 1962, The Diversity of Meaning was written to provide a more constructive criticism of the philosophy of ordinary language than the more destructive approach that it was commonly subjected to at the time of publication. The book deals with a range of philosophical problems in a way that cuts underneath the more typical orthodoxies of the time. It is concerned primarily with the concept of meaning and asks not just how people ordinarily speak or think about meanings, (...) but also what is gained or lost by their so doing. The author challenges the assumption that there is only one way of talking about meanings and instead argues that no single analysis of meaning can suit the semantics of lexicographers, language-teachers, translators, logicians, historians of ideas, psychologists and philosophers. By examining various common concepts of meaning and their relations to one another, the book sheds light on the issues most alive in philosophical controversy at the time of publication, giving it lasting relevance for those interested in the history of philosophical thought and theory. (shrink)

First published in 1962, The Diversity of Meaning was written to provide a more constructive criticism of the philosophy of ordinary language than the more destructive approach that it was commonly subjected to at the time of publication. The book deals with a range of philosophical problems in a way that cuts underneath the more typical orthodoxies of the time. It is concerned primarily with the concept of meaning and asks not just how people ordinarily speak or think about meanings, (...) but also what is gained or lost by their so doing. The author challenges the assumption that there is only one way of talking about meanings and instead argues that no single analysis of meaning can suit the semantics of lexicographers, language-teachers, translators, logicians, historians of ideas, psychologists and philosophers. By examining various common concepts of meaning and their relations to one another, the book sheds light on the issues most alive in philosophical controversy at the time of publication, giving it lasting relevance for those interested in the history of philosophical thought and theory. (shrink)

This completely self-contained study, widely considered the best book in the field, is intended to serve both as an introduction to quantification theory and as ...

This is the third edition of Chomsky's outstanding collection of essays on language and mind, first published in 2006. The first six chapters, originally published in the 1960s, made a groundbreaking contribution to linguistic theory. This edition complements them with an additional chapter and a new preface, bringing Chomsky's influential approach into the twenty-first century. Chapters 1-6 present Chomsky's early work on the nature and acquisition of language as a genetically endowed, biological system, through the rules and principles of which (...) we acquire an internalized knowledge. Over the past fifty years, this framework has sparked an explosion of inquiry into a wide range of languages, and has yielded some major theoretical questions. The final chapter revisits the key issues, reviewing the 'biolinguistic' approach that has guided Chomsky's work from its origins to the present day, and raising some novel and exciting challenges for the study of language and mind. (shrink)

Noam Chomsky's book on syntactic structures is a serious attempts on the part of a linguist to construct within the tradition of scientific theory-construction ...

The book from which these sections are excerpted is concerned with the prospects for assimilating the study of human intelligence and its products to the natural sciences through the investigation of cognitive structures, understood as systems of rules and representations that can be regarded as “mental organs.” These mental structui′es serve as the vehicles for the exercise of various capacities. They develop in the mind on the basis of an innate endowment that permits the growth of rich and highly articulated (...) structures along an intrinsically determined course under the triggering and partially shaping effect of experience, which fixes parameters in an intricate system of predetermined form. It is argued that the mind is modular in character, with a diversity of cognitive structures, each with its specific properties arid principles. Knowledge of language, of the behavior of objects, and much else crucially involves these mental structures, and is thus not characterizable in terms of capacities, dispositions, or practical abilities, nor is it necessarily grounded in experience in the standard sense of this term.Various types of knowledge and modes of knowledge acquisition are discussed in these terms. Some of the properties of the language faculty are investigated. The basic cognitive relation is “knowing a grammar”; knowledge of language is derivative and, correspondingly, raises further problems. Language as commonly understood is not a unitary phenomenon but involves a number of interacting systems: the “computational” system of grammar, which provides the representations of sound and meaning that permit a rich range of expressive potential, is distinct from a conceptual system with its own properties; knowledge of language must be distinguished from knowledge of how to use a language; and the various systems that enter into the knowledge and use of language must be further analyzed into their specific subcomponents. (shrink)