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.