Introduction to Logic - Dover Books on Mathematics | Textbook for College Students & Self-Learners | Study Guide for Critical Thinking & Philosophy Courses
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DESCRIPTION
This well-organized book was designed to introduce students to a way of thinking that encourages precision and accuracy. As the text for a course in modern logic, it familiarizes readers with a complete theory of logical inference and its specific applications to mathematics and the empirical sciences. Part I deals with formal principles of inference and definition, including a detailed attempt to relate the formal theory of inference to the standard informal proofs common throughout mathematics. An in-depth exploration of elementary intuitive set theory constitutes Part II, with separate chapters on sets, relations, and functions. The final section deals with the set-theoretical foundations of the axiomatic method and contains, in both the discussion and exercises, numerous examples of axiomatically formulated theories. Topics range from the theory of groups and the algebra of the real numbers to elementary probability theory, classical particle mechanics, and the theory of measurement of sensation intensities. Ideally suited for undergraduate courses, this text requires no background in mathematics or philosophy.
REVIEWS
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4.5
It is Thanksgiving in America today and I thought it fitting to leave a review of this excellent book. Patrick Suppes died two days ago at the age of 92. Suppes comes from a tradition of brilliant philosophers who excelled in many fields (most notably mathematics and logic in Suppes' case). His body of work, which can be found at Standford (suppes-corpus), is truly remarkable. This book, along with his Set Theory book were staples in my educational foundation. There are many great logic texts available, but over the decades I've found no logic book more useful for applying logical/critical thinking in both non-mathematical and mathematical contexts. Both books are challenging and require effort from the reader, but 100 pages into both and you'll notice how differently you think and how problems in other books/contexts become tractable. In regards to his Set Theory book, only Enderton's book is on par, imho.So much more can be said, but I'll close by stating that I'm thankful for Suppes' lifelong dedication and simply want to acknowledge the contribution it has made in my intellectual and professional development.
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