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#### Recursion Theory

De Gruyter 2015; US$ 168.00This monograph presents recursion theory from a generalized and largely global point of view. A major theme is the study of the structures of degrees arising from two key notions of reducibility, the Turing degrees and the hyperdegrees, using ideas and techniques beyond those of classical recursion theory. These include structure theory,... more...

#### Recursion Theory for Metamathematics

Oxford University Press 1993; US$ 139.99This work is a sequel to the author's Godel's Incompleteness Theorems, though it can be read independently by anyone familiar with Godel's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is... more...

#### Godel's Incompleteness Theorems

Oxford University Press 1992; US$ 224.99An introduction to the work of the mathematical logician Kurt Godel, which guides the reader through his Theorem of Undecidability and his theories on the completeness of logic, the incompleteness of numbers and the consistency of the axiom of choice. more...

#### Applications of Fuzzy Sets Theory

Springer 2007; US$ 119.00This volume constitutes the refereed proceedings of the 7th International Workshop on Fuzzy Logic and Applications held in Camogli, Genoa, Italy in July 2007. The 84 revised full papers presented together with 3 keynote speeches were carefully reviewed and selected from 147 submissions. The papers are organized in topical sections on fuzzy set theory,... more...

#### Recursive Functionals

Elsevier Science 1992; US$ 72.95This work is a self-contained elementary exposition of the theory of recursive functionals, that also includes a number of advanced results. Although aiming basically at a theory of higher order computability, attention is restricted to second order functionals, where the arguments are numerical functions and the values, when defined, are natural numbers.... more...

#### Fundamentals of Generalized Recursion Theory

Elsevier Science 2011; US$ 205.00This work presents the most important combinatorial ideas in partition calculus and discusses ordinary partition relations for cardinals without the assumption of the generalized continuum hypothesis. A separate section of the book describes the main partition symbols scattered in the literature. A chapter on the applications of the combinatorial methods... more...

#### Kurt Gödel

Vieweg+Teubner Verlag 2007; US$ 39.95Time Magazine reihte ihn unter die hundert wichtigsten Personen des zwanzigsten Jahrhunderts. Die Harvard University verlieh ihm das Ehrendoktorat für die Entdeckung "der bedeutsamsten mathematischen Wahrheit des Jahrhunderts". Er gilt allgemein als der größte Logiker seit Aristoteles. Sein Freund Einstein ging, nach eigener Aussage, nur deshalb ans... more...

#### Recursion Theory and Computational Complexity

Springer Berlin Heidelberg 2011; US$ 49.95S. Homer: Admissible recursion theory.- B.E. Jacobs: Computational complexity and recursion theory.- D. Normann: A survey of set recursion.- G.E. Sacks: Priority arguments in Higgler recursion.- R.I. Soare: Construction in the recursively enumerable degrees.- W. Maass: Recursively invariant recursion theory. more...

#### Computability Theory

Elsevier Science 2010; US$ 79.95Computability Theory: An Introduction to Recursion Theory, provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic concepts and techniques of computability theory are placed in their historical, philosophical and logical context. This presentation is characterized... more...

#### Godel's Proof

Taylor and Francis 2012; US$ 20.95'Nagel and Newman accomplish the wondrous task of clarifying the argumentative outline of Kurt Godel's celebrated logic bomb.' ? The Guardian In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of physicist Albert Einstein, his... more...