Kurt Godel came along and sorta messed up the Vienna Circle's dream of a completely axiomatic basis for human knowledge, but, if it could be done, this is the manual for it. Still, when I teach, I like to "crack the topic open and show my students what's under the hood and how those things work" and, although it's not terribly easy to follow Mr. Carnap, he certainly shows the inner workings of logic. It's a classic. It deserves classic status.

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Introduction to Symbolic Logic and Its Applications Paperback – 2 November 2011
by
RUDOLF CARNAP
(Author)
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This book is one of the clearest, most comprehensive and rigorous introductions to modern symbolic logic available in any language. Professor Carnap, a world authority on symbolic logic, develops the subject from elementary concepts and simple exercises through the construction and analysis of a number of relatively complex logical languages. He then considers, in great detail, the application of symbolic logic to the clarification and axiomatization of various theories in mathematics, physics, and biology. Such topics as the nature and use of constants and variables, predicates, sentential connectives, truth-tables, universal and existential sentences, definitions, identity, isomorphism, syntactical and semantical systems and the relations between them, the system of types, varieties of relations, linear order, special operators, structures and cardinal numbers, descriptions, finite and infinite concepts, continuity, thing languages, coordinate languages, axiom systems for set theory, arithmetic, geometry, space-time topology, biological concepts, and many other subjects, are covered in detail. The logic of relations is given a particularly extensive treatment. Hundreds of problems, examples, and exercises are included to give students practice in the techniques of symbolic logic and their usage.
- Print length272 pages
- LanguageEnglish
- PublisherDover Publications
- Publication date2 November 2011
- Dimensions13.82 x 1.35 x 20.32 cm
- ISBN-100486604535
- ISBN-13978-0486604534
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Product details
- Publisher : Dover Publications
- Publication date : 2 November 2011
- Language : English
- Print length : 272 pages
- ISBN-10 : 0486604535
- ISBN-13 : 978-0486604534
- Item weight : 278 g
- Dimensions : 13.82 x 1.35 x 20.32 cm
- Customer Reviews:
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donatisReviewed in Italy on 18 July 2018
5.0 out of 5 stars Da acquistare
Verified PurchaseA mio parere, una delle migliori introduzioni alla logica simbolica e ai fondamenti della matematica mai scritte. Ne esiste una traduzione italiana, che però, purtroppo, presenta alcuni errori tipografici.
- BookReviewReviewed in the United States on 21 June 2015
5.0 out of 5 stars Without a doubt the best work out there on symbolic logic I have come ...
Verified PurchaseWithout a doubt the best work out there on symbolic logic I have come across. Even though that's the title and primary focus of the work (i.e. Symbolic Logic), Carnap also manages to brilliantly and effortlessly tie in many related topics (rudiments of modality, relations, analytical/synthetic distinctions, etc.) with incredible dexterity and clarity. A true work of genius and a model for all would-be instructors on how to present.