2000's printing of 1977 book. Extra clean. No marks in text. Not a library book. Ships in a cardboard enclosure. Thank you, from Tim's Used Books, open shop in Provincetown USA; buyers and sellers of good books at fair prices on the same spot since 1991.

Codice articolo 2492013

Contatta il venditore

Segnala questo articolo

Dati bibliografici

Titolo: A Course in Mathematical Logic (Graduate Texts in Mathematics)
Editore: Springer Verlag
Data di pubblicazione: 1977
Lingua: Inglese
ISBN 10: 0387902430
ISBN 13: 9780387902432
Rilegatura: Hardcover
Edizione: 1st Edition
Condizione: Very Good

Descrizione articolo

Riassunto

This book is a text of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last 10 to 15 years, including the independence of the continuum hypothesis, the Diophantine nature of enumerable sets and the impossibility of finding an algorithmic solution for certain problems. The book contains the first textbook presentation of Matijasevic's result. The central notions are provability and computability; the emphasis of the presentation is on aspects of the theory which are of interest to the working mathematician. Many of the approaches and topics covered are not standard parts of logic courses; they include a discussion of the logic of quantum mechanics, Goedel's constructible sets as a sub-class of von Neumann's universe, the Kolmogorov theory of complexity. Feferman's theorem on Goedel formulas as axioms and Highman's theorem on groups defined by enumerable sets of generators and relations. A number of informal digressions concerned with psychology, linguistics, and common sense logic should interest students of the philosophy of science or the humanities.

Recensione

"As one might expect from a graduate text on logic by a very distinguished algebraic geometer, this book assumes no previous acquaintance with logic, but proceeds at a high level of mathematical sophistication. Chapters I and II form a short course. Chapter I is a very informal introduction to formal languages, e.g., those of first order Peano arithmetic and of ZFC set theory. Chapter II contains Tarski's definition of truth, Gödel's completeness theorem, and the Löwenheim-Skolem theorem. The emphasis is on semantics rather than syntax. Some rarely-covered side topics are included (unique readability for languages with parentheses, Mostowski's transitive collapse lemma, formalities of introducing definable constants and function symbols). Some standard topics are neglected. (The compactness theorem is not mentioned!) The latter part of Chapter II contains Smullyan's quick proof of Tarski's theorem on the undefinability of truth in formal arithmetic, and an account of the Kochen-Specker "no hidden variables" theorem in quantum logic. There are digressions on philosophical issues (formal logic vs. ordinary language, computer proofs). A wealth of material is introduced in these first 100 pages of the book..."--MATHEMATICAL REVIEWS

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Descrizione libreria

Long established, bustling used bookstore, in Massachusetts, founded 1991, noted by many as their "favorite bookstore in America," buying and selling scholarly and literary books seven days a week.

Visita la pagina della libreria

Informazioni sull?azienda del venditore

Tim's Used Books, Inc.
183 Main St., Northampton, MA, 01060, U.S.A.

Condizioni di vendita e spedizione

Condizioni di vendita

We stand behind all of our sales, and endeavor to provide the highest level of customer service.

Condizioni di spedizione

We package each book in a cardboard enclosure, send most books USPS Media Mail unless instructed otherwise by the buyer. We generally don't charge extra for heavy books, except in the case of very heavy packages (such as multiple-volume sets.) Insurance is not included, but Delivery Confirmation is.