This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout.

Now in its fourth edition, this classic work clearly and concisely introduces the subject of logic and its applications. The first part of the book explains the basic concepts and principles which make up the elements of logic. The author demonstrates that these ideas are found in all branches of mathematics, and that logical laws are constantly applied in mathematical reasoning. The second part of the book shows the applications of logic in mathematical theory building with concrete examples that draw (...) upon the concepts and principles presented in the first section. Numerous exercises and an introduction to the theory of real numbers are also presented. Students, teachers and general readers interested in logic and mathematics will find this book to be an invaluable introduction to the subject. (shrink)

Being Known is a response to a philosophical challenge which arises for every area of thought: to reconcile a plausible account of what is involved in the truth of statements in a given area with a credible account of how we can know those statements. Christopher Peacocke presents a framework for addressing the challenge, a framework which links both the theory of knowledge and the theory of truth with the theory of concept-possession.

Translation of Frege's 'Über Begriff und Gegenstand' (1892). Translation by Peter Geach, revised by Max Black.

Three hundred entries by leading scholars in a variety of fields--from anthropology and literary theory to linguistics and philosophy--survey the study of signs and symbols in human culture in this new work. The articles cover key concepts, theories, theorists, schools, and issues in communications, cognition, and cultural theory. From introductions to Barthes and Bakhtin to analyses of gossip and myth, this is a valuable reference for students and scholars.

What is it that we do when we enjoy a text? What is the pleasure of reading? The French critic and theorist Roland Barthes's answers to these questions constitute "perhaps for the first time in the history of criticism... not only a poetics of reading... but a much more difficult achievement, an erotics of reading.... Like filings which gather to form a figure in a magnetic field, the parts and pieces here do come together, determined to affirm the pleasure we (...) must take in our reading as against the indifference of (mere) knowledge." --Richard Howard. (shrink)

This article provides a critical overview of competing theories of conceptual structure (definitional structure, probabilistic structure, theory structure), including the view that concepts have no structure (atomism). We argue that the explanatory demands that these different theories answer to are best accommodated by an organization in which concepts are taken to have atomic cores that are linked to differing types of conceptual structure.