Seminal work by great modern philosopher and mathematician focuses on certain issues of mathematical logic that Russell believed invalidated much traditional and contemporary philosophy. Topics include number, order, relations, limits and continuity, propositional functions, descriptions and classes, more. Clear, accessible excursion into the realm where mathematics and philosophy meet.
Here's a sample of other books in this Dover category
Introduction to Logic by Alfred Tarski 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.
The Problems of Philosophy by Bertrand Russell Accessible, thought-provoking study by Nobel Prize-winner considers distinction between appearance and reality, existence and nature of matter, idealism, inductive logic, intuitive knowledge, many other stimulating subjects.
First-Order Logic by Raymond M. Smullyan This self-contained study is both an introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods. The focus is on the tableau point of view. Includes 144 illustrations.
The Philosophy of Mathematics: An Introductory Essay by Stephan Körner A distinguished philosopher surveys the mathematical views and influence of Plato, Aristotle, Leibniz, and Kant. He also examines the relationship between mathematical theories, empirical data, and philosophical presuppositions. 1968 edition.
Descartes' Dream: The World According to Mathematics by Philip J. Davis, Reuben Hersh These provocative essays take a modern look at the 17th-century thinker's dream, examining the influences of mathematics on society, particularly in light of technological advances. 1987 edition.
Logic for Mathematicians by J. Barkley Rosser Examination of essential topics and theorems assumes no background in logic. "Undoubtedly a major addition to the literature of mathematical logic." — Bulletin of the American Mathematical Society. 1978 edition.
Mysticism and Logic by Bertrand Russell Russell explains his theory of logical atomism in 10 brilliant essays, which include popular treatments of religious and educational issues as well as more technical examinations of problems of logic.
