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portada a course in mathematical logic for mathematicians
Type
Physical Book
Author
Translated by
Contributions by
Publisher
Year
2012
Language
English
Pages
384
Format
Paperback
Dimensions
23.4x15.6x2.1 cm
Weight
0.56 kg.
ISBN
1461424798
ISBN13
9781461424796
Edition No.
0002
Categories

a course in mathematical logic for mathematicians

Yu I. Manin (Author) · Neal Koblitz (Translated by) · B. Zilber (Contributions by) · Springer · Paperback

a course in mathematical logic for mathematicians - Koblitz, Neal ; Zilber, B. ; Manin, Yu I.

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Synopsis "a course in mathematical logic for mathematicians"

1. The ?rst edition of this book was published in 1977. The text has been well received and is still used, although it has been out of print for some time. In the intervening three decades, a lot of interesting things have happened to mathematical logic: (i) Model theory has shown that insights acquired in the study of formal languages could be used fruitfully in solving old problems of conventional mathematics. (ii) Mathematics has been and is moving with growing acceleration from the set-theoretic language of structures to the language and intuition of (higher) categories, leaving behind old concerns about in?nities: a new view of foundations is now emerging. (iii) Computer science, a no-nonsense child of the abstract computability theory, has been creatively dealing with old challenges and providing new ones, such as the P/NP problem. Planning additional chapters for this second edition, I have decided to focus onmodeltheory, the conspicuousabsenceofwhichinthe ?rsteditionwasnoted in several reviews, and the theory of computation, including its categorical and quantum aspects. The whole Part IV: Model Theory, is new. I am very grateful to Boris I. Zilber, who kindly agreed to write it. It may be read directly after Chapter II. The contents of the ?rst edition are basically reproduced here as Chapters I-VIII. Section IV.7, on the cardinality of the continuum, is completed by Section IV.7.3, discussing H. Woodin's discovery.

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