Introduction to Mathematical Logic

Lingua: inglese

Editore: Springer, Chapman And Hall/CRC Apr 2012, 2012

1461572908 / 9781461572909

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This item is printed on demand - Print on Demand Titel. Neuware -This is a compact mtroduction to some of the pnncipal tOpICS of mathematical logic . In the belief that beginners should be exposed to the most natural and easiest proofs, I have used free-swinging set-theoretic methods. The significance of a demand for constructive proofs can be evaluated only after a certain amount of experience with mathematical logic has been obtained. If we are to be expelled from 'Cantor's paradise' (as nonconstructive set theory was called by Hilbert), at least we should know what we are missing. The major changes in this new edition are the following. (1) In Chapter 5, Effective Computability, Turing-computabIlity IS now the central notion, and diagrams (flow-charts) are used to construct Turing machines. There are also treatments of Markov algorithms, Herbrand-Godel-computability, register machines, and random access machines. Recursion theory is gone into a little more deeply, including the s-m-n theorem, the recursion theorem, and Rice's Theorem. (2) The proofs of the Incompleteness Theorems are now based upon the Diagonalization Lemma. Lob's Theorem and its connection with Godel's Second Theorem are also studied. (3) In Chapter 2, Quantification Theory, Henkin's proof of the completeness theorem has been postponed until the reader has gained more experience in proof techniques. The exposition of the proof itself has been improved by breaking it down into smaller pieces and using the notion of a scapegoat theory. There is also an entirely new section on semantic trees.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 356 pp. Englisch.…

Codice articolo 9781461572909

Titolo
Introduction to Mathematical Logic
Autore
Elliot Mendelsohn
Editore
Springer, Chapman And Hall/CRC Apr 2012
Anno di pubblicazione
2012
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
1461572908
ISBN 13
9781461572909
Peso dell'articolo
615 grammi
Dimensioni
244x170x20 mm

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