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Download Diagonalization and Self-Reference (Oxford Logic Guides) eBook

by Raymond M. Smullyan

Download Diagonalization and Self-Reference (Oxford Logic Guides) eBook
ISBN:
0198534507
Author:
Raymond M. Smullyan
Category:
Mathematics
Language:
English
Publisher:
Clarendon Press (October 13, 1994)
Pages:
416 pages
EPUB book:
1950 kb
FB2 book:
1168 kb
DJVU:
1273 kb
Other formats
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Rating:
4.2
Votes:
645


Raymond Smullyan on Self Reference (Outstanding Contributions to Logic). Exhibit the hallmarks of Smullyan's style. A highly original approach. -Journal of Symbolic Logic.

Raymond Smullyan on Self Reference (Outstanding Contributions to Logic). Raymond M. Smullyan is at Indiana University. Series: Oxford Logic Guides (Book 27). Hardcover: 416 pages. Publisher: Clarendon Press (October 13, 1994).

This book presents a systematic, unified treatment of fixed points as they occur in Godels incompleteness proofs, recursion theory, combinatory logic, semantics, and metamathematics.

Raymond M. Smullyan, Professor of Philosophy, Indiana University.

I Introduction to Self-Reference and Recursion . Introduction to self-reference . Some classical fixed point argument compared . How to silence a universale machine . Some general incompleteness theorems . Self-reference in arithmetic . Introduction to formal systems and recursion . A universal system and its applications II Systems with Effective Properties . Arithmetization of formal systems . Elementary formal. Twenty Five Years of Constructive Type Theory. Giovanni Sambin, Jan M. Smith.

Diagonalization and Self-Reference book.

book by Raymond M. Smullyan. The firstchapters are of an introductory nature and consist mainly of exercises with solutions given to most of them.

Department of Philosophy Indiana University. we took these to be ( v i ), ( u ) . .

1. Jane Bridge: Beginning model theory: the completeness theorem and some consequences. Department of Philosophy Indiana University. New York Oxford Oxford University Press 1993.2 The clever device of using F instead of F(n) to achieve diagonalization and self-reference is due to Alfred Tarski. It circumvents the necessity of arithmetizing substitution. 3A specific and handy Godel numbering was given in Ch.

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Similar books and articles. Smullyan and Melvin Fitting.

Citations of this work BETA. Similar books and articles. Oxford Logic Guides, No. 34. Clarendon Press, Oxford University Press, Oxford, New York, Et. 1996, Xiii + 288 Pp. James Cummings - 1999 - Journal of Symbolic Logic 64 (1):401-403.

Diagonalization and self-reference. Foundations without foundationalism. 17. 27. Clarendon Press, Oxford University Press, Oxford and New York 1994, xv + 396 pp. Raymond . mullyan. Diagonalization and self-reference. Clarendon Press, Oxford University Press, Oxford and New York1994, xv + 396 pp. - Volume 61 Issue 3 - Lev Beklemishev. Clarendon Press, Oxford University Press, Oxford and New York1991, xx + 277 pp. - Volume 58 Issue 1 - John Burgess.

This book presents a systematic, unified treatment of fixed points as they occur in Gödel's incompleteness proofs, recursion theory, combinatory logic, semantics, and metamathematics. Packed with instructive problems and solutions, the book offers an excellent introduction to the subject and highlights recent research.