## Constructibility

**Author**: Keith J. Devlin

**Publisher:**Cambridge University Press

**ISBN:**110716835X

**Category:**Computers

**Page:**437

**View:**6676

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A comprehensive account of the theory of constructible sets at an advanced level, aimed at graduate mathematicians.

## Computability in Context

*Computation and Logic in the Real World*

**Author**: S Barry Cooper,Andrea Sorbi

**Publisher:**World Scientific

**ISBN:**1908978767

**Category:**Mathematics

**Page:**420

**View:**9724

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Computability has played a crucial role in mathematics and computer science, leading to the discovery, understanding and classification of decidable/undecidable problems, paving the way for the modern computer era, and affecting deeply our view of the world. Recent new paradigms of computation, based on biological and physical models, address in a radically new way questions of efficiency and challenge assumptions about the so-called Turing barrier. This volume addresses various aspects of the ways computability and theoretical computer science enable scientists and philosophers to deal with mathematical and real-world issues, covering problems related to logic, mathematics, physical processes, real computation and learning theory. At the same time it will focus on different ways in which computability emerges from the real world, and how this affects our way of thinking about everyday computational issues. Contents:Computation, Information, and the Arrow of Time (P Adriaans & P van Emde Boas)The Isomorphism Conjecture for NP (M Agrawal)The Ershov Hierarchy (M M Arslanov)Complexity and Approximation in Reoptimization (G Ausiello et al.)Definability in the Real Universe (S B Cooper)HF-Computability (Y L Drshov et al.)The Mathematics of Computing Between Logic and Physics (G Longo & T Paul)Liquid State Machines: Motivation, Theory, and Applications (W Maass)Experiments on an Internal Approach to Typed Algorithms in Analysis (D Normann)Recursive Functions: An Archeological Look (P Odifreddi)Reverse Mathematics and Well-Ordering Principles (M Rathjen & A Weiermann)Discrete Transfinite Computation Models (P D Welch) Readership: Researchers in computational mathematics, logic, and theoretical computer science. Keywords:Computability;Logic;Real World;Turing Barrier;Real Computation;Learning Theory

## Logic Colloquium 2005

**Author**: Costas Dimitracopoulos

**Publisher:**Cambridge University Press

**ISBN:**052188425X

**Category:**Computers

**Page:**272

**View:**4526

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This 2007 volume includes surveys, tutorials, and selected research papers on advances in logic.

## Fundamentals of Mathematical Logic

**Author**: Peter G. Hinman

**Publisher:**CRC Press

**ISBN:**1439864276

**Category:**Mathematics

**Page:**894

**View:**1054

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This introductory graduate text covers modern mathematical logic from propositional, first-order and infinitary logic and Gödel's Incompleteness Theorems to extensive introductions to set theory, model theory and recursion (computability) theory. Based on the author's more than 35 years of teaching experience, the book develops students' intuition by presenting complex ideas in the simplest context for which they make sense. The book is appropriate for use as a classroom text, for self-study, and as a reference on the state of modern logic.

## Pillars of Computer Science

*Essays Dedicated to Boris (Boaz) Trakhtenbrot on the Occasion of His 85th Birthday*

**Author**: Arnon Avron,Nachum Dershowitz,Alexander Rabinovich

**Publisher:**Springer

**ISBN:**3540781277

**Category:**Computers

**Page:**683

**View:**3622

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For over half a century, Boris (Boaz) Trakhtenbrot has made seminal contributions to virtually all of the central areas of theoretical computer science. This festschrift volume readily illustrates the profound influence he has had on the field.

## Days in logic '06

*two tutorials*

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**Mathematics

**Page:**78

**View:**3958

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## The Bulletin of Symbolic Logic

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**Logic, Symbolic and mathematical

**Page:**N.A

**View:**6184

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## International Books in Print

**Author**: N.A

**Publisher:**N.A

**ISBN:**9783598221187

**Category:**English imprints

**Page:**5

**View:**4879

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## Nouvelles mathématiques internationales

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**Mathematics

**Page:**N.A

**View:**2760

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## Publicationes mathematicae

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**Mathematics

**Page:**N.A

**View:**5813

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## Subject Guide to Books in Print

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**American literature

**Page:**N.A

**View:**6647

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## Intermediate set theory

**Author**: Frank Robert Drake,Dasharath Singh

**Publisher:**John Wiley & Sons Inc

**ISBN:**9780471964940

**Category:**Mathematics

**Page:**234

**View:**7948

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The authors cover first order logic and the main topics of set theory in a clear mathematical style with sensible philosophical discussion. The emphasis is on presenting the use of set theory in various areas of mathematics, with particular attention paid to introducing axiomatic set theory, showing how the axioms are needed in mathematical practice and how they arise. Other areas introduced include the axiom of choice, filters and ideals. Exercises are provided which are suitable for both beginning students and degree-level students.

## The Mathematical Intelligencer

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**Mathematics

**Page:**N.A

**View:**8906

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## The higher infinite

*large cardinals in set theory from their beginnings*

**Author**: Akihiro Kanamori

**Publisher:**Springer

**ISBN:**N.A

**Category:**Mathematics

**Page:**536

**View:**3312

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## Annales Academiae Scientiarum Fennicae

*Mathematica. Dissertationes*

**Author**: N.A

**Publisher:**N.A

**ISBN:**9789514107924

**Category:**Mathematics

**Page:**71

**View:**4978

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## Truth in perspective

*recent issues in logic, representation and ontology*

**Author**: Concha Martínez,Uxía Rivas,Luis Villegas-Forero

**Publisher:**Avebury

**ISBN:**9781859726983

**Category:**Philosophy

**Page:**417

**View:**1547

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This volume has its origin in a meeting that was held in Santiago de Compostela University, Santiago de Compostela (Spain) in January 1996. The meeting was organized by the Department of Logic and Philosophy of Science in cooperation with the Association for Logic, Methodology and Philosophy of Science in Spain.Within analytical philosophy issues such as the definability of truth, its semantic relevance, its role in the distinction between formal and natural languages, the status of truth-bearers or in its case of truth-makers, have become a crossroads in the studies of logic, philosophy of science, philosophy of language, philosophy of mind, epistemology and ontology. Thus, in spite of what the title Truth in Perspective may suggest to the reader at first, the present volume is not only - though it is also - a presentation of different theories or conceptions of truth. Most of the book presents a vision of different groups of philosophical questions in which the issue of truth appears embedded together with other related themes, from different points of view.

## Scientific and Technical Books and Serials in Print 1989

**Author**: Bowker Editorial Staff

**Publisher:**N.A

**ISBN:**9780835225557

**Category:**

**Page:**4665

**View:**7543

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## Index of Mathematical Papers

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**Mathematical reviews

**Page:**N.A

**View:**3169

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## A Course in Mathematical Logic

**Author**: I͡U. I. Manin,Jurij I. Manin,Yu I. Manin,︠I︡U. I. Manin,I︠U︡riĭ Ivanovich Manin,Ûrij Ivanovič Manin

**Publisher:**Springer Science & Business Media

**ISBN:**9780387902432

**Category:**Mathematics

**Page:**286

**View:**5138

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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.

## Admissible Sets and Structures

**Author**: Jon Barwise

**Publisher:**Cambridge University Press

**ISBN:**1107168333

**Category:**Mathematics

**Page:**408

**View:**4157

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This volume makes the basic facts about admissible sets accessible to logic students and specialists alike.