David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
The classic results obtained by Gödel, Tarski, Kleene, and Church in the early thirties are the finest flowers of symbolic logic. They are of fundamental importance to those investigations of the foundations of mathematics via the concept of a formal system that were inaugurated by Frege, and of obvious significance to the mathematical disciplines, such as computability theory, that developed from them. Derived from courses taught by the author over several years, this new exposition presents all of the results with their original proofs and central concepts in a manner that is unified by a systematic grounding of the notion of effectiveness in the semantics of the existential quantifier. Logicians and non-mathematicians, repelled by detail which is not obviously relevant in the standard textbooks, will be able to reach the heart of the matter with a minimum of fuss.
|Keywords||Logic, Symbolic and mathematical Decidability (Mathematical logic|
|Categories||categorize this paper)|
|Buy the book||$18.17 used (89% off) $66.32 new (60% off) $70.36 direct from Amazon (57% off) Amazon page|
|Call number||BC135.G495 1990|
|ISBN(s)||0415000335 9780415000338 9780203015094 9781134989980 9781134989973 9781134989935 9781134989959|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Joel W. Robbin (1969/2006). Mathematical Logic: A First Course. Dover Publications.
W. V. Quine (1951). Mathematical Logic. Cambridge, Harvard University Press.
J. L. Bell (1977). A Course in Mathematical Logic. Sole Distributors for the U.S.A. And Canada American Elsevier Pub. Co..
John N. Crossley (ed.) (1972/1990). What is Mathematical Logic? Dover Publications.
Volker Peckhaus (1999). 19th Century Logic Between Philosophy and Mathematics. Bulletin of Symbolic Logic 5 (4):433-450.
Richard Zach (1999). Completeness Before Post: Bernays, Hilbert, and the Development of Propositional Logic. Bulletin of Symbolic Logic 5 (3):331-366.
Mojżesz Presburger & Dale Jabcquette (1991). On the Completeness of a Certain System of Arithmetic of Whole Numbers in Which Addition Occurs as the Only Operation. History and Philosophy of Logic 12 (2):225-233.
Witold Marciszewski (ed.) (2006). Issues of Decidability and Tractability. University of Białystok.
Added to index2009-01-28
Total downloads10 ( #167,443 of 1,679,387 )
Recent downloads (6 months)1 ( #183,003 of 1,679,387 )
How can I increase my downloads?