Book Description
Provability, Computability and Reflection
Author : Lev D. Beklemishev
Publisher : Elsevier
Page : 675 pages
File Size : 31,27 MB
Release : 2000-04-01
Category : Mathematics
ISBN : 0080957536
Provability, Computability and Reflection
Author : Lev D. Beklemishev
Publisher : Elsevier Science
Page : 89 pages
File Size : 11,58 MB
Release : 2000-04-01
Category : Mathematics
ISBN : 9780080957258
Provability, Computability and Reflection
Author : B. Jack Copeland
Publisher : MIT Press
Page : 373 pages
File Size : 31,92 MB
Release : 2013-06-07
Category : Computers
ISBN : 0262018993
Computer scientists, mathematicians, and philosophers discuss the conceptual foundations of the notion of computability as well as recent theoretical developments. In the 1930s a series of seminal works published by Alan Turing, Kurt Gödel, Alonzo Church, and others established the theoretical basis for computability. This work, advancing precise characterizations of effective, algorithmic computability, was the culmination of intensive investigations into the foundations of mathematics. In the decades since, the theory of computability has moved to the center of discussions in philosophy, computer science, and cognitive science. In this volume, distinguished computer scientists, mathematicians, logicians, and philosophers consider the conceptual foundations of computability in light of our modern understanding.Some chapters focus on the pioneering work by Turing, Gödel, and Church, including the Church-Turing thesis and Gödel's response to Church's and Turing's proposals. Other chapters cover more recent technical developments, including computability over the reals, Gödel's influence on mathematical logic and on recursion theory and the impact of work by Turing and Emil Post on our theoretical understanding of online and interactive computing; and others relate computability and complexity to issues in the philosophy of mind, the philosophy of science, and the philosophy of mathematics.ContributorsScott Aaronson, Dorit Aharonov, B. Jack Copeland, Martin Davis, Solomon Feferman, Saul Kripke, Carl J. Posy, Hilary Putnam, Oron Shagrir, Stewart Shapiro, Wilfried Sieg, Robert I. Soare, Umesh V. Vazirani
Author : Lev D. Beklemishev
Publisher : Elsevier Science
Page : 113 pages
File Size : 22,72 MB
Release : 2000-04-01
Category : Mathematics
ISBN : 9780080957357
Provability, Computability and Reflection
Author : Gerardo Chacón
Publisher : Walter de Gruyter GmbH & Co KG
Page : 298 pages
File Size : 22,36 MB
Release : 2016-12-19
Category : Mathematics
ISBN : 3110433648
This textbook on functional analysis offers a short and concise introduction to the subject. The book is designed in such a way as to provide a smooth transition between elementary and advanced topics and its modular structure allows for an easy assimilation of the content. Starting from a dedicated chapter on the axiom of choice, subsequent chapters cover Hilbert spaces, linear operators, functionals and duality, Fourier series, Fourier transform, the fixed point theorem, Baire categories, the uniform bounded principle, the open mapping theorem, the closed graph theorem, the Hahn–Banach theorem, adjoint operators, weak topologies and reflexivity, operators in Hilbert spaces, spectral theory of operators in Hilbert spaces, and compactness. Each chapter ends with workable problems. The book is suitable for graduate students, but also for advanced undergraduates, in mathematics and physics. Contents: List of Figures Basic Notation Choice Principles Hilbert Spaces Completeness, Completion and Dimension Linear Operators Functionals and Dual Spaces Fourier Series Fourier Transform Fixed Point Theorem Baire Category Theorem Uniform Boundedness Principle Open Mapping Theorem Closed Graph Theorem Hahn–Banach Theorem The Adjoint Operator Weak Topologies and Reflexivity Operators in Hilbert Spaces Spectral Theory of Operators on Hilbert Spaces Compactness Bibliography Index
Author : Juliette Kennedy
Publisher : Springer
Page : 411 pages
File Size : 24,43 MB
Release : 2017-07-10
Category : Mathematics
ISBN : 3662553864
Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 24th Workshop on Logic, Language, Information and Communication, WoLLIC 2017, held in London, UK, in August 2017. The 28 contributed papers were carefully reviewed and selected from 61 submissions. They cover interdisciplinary research in pure and applied logic, aiming at interactions between logic and the sciences related to information and computation.
Author : Lev D. Beklemishev
Publisher : Elsevier Science
Page : 316 pages
File Size : 18,77 MB
Release : 2000-04-01
Category : Mathematics
ISBN : 9780080954790
Provability, Computability and Reflection
Author : Andrzej Mostowski
Publisher : North Holland
Page : 622 pages
File Size : 40,51 MB
Release : 1979
Category : Mathematics
ISBN :
Provability, Computability and Reflection.
Author : Lev D. Beklemishev
Publisher : Elsevier Science
Page : 416 pages
File Size : 35,3 MB
Release : 2000-04-01
Category : Mathematics
ISBN : 9780080957708
Provability, Computability and Reflection
Author : Manindra Agrawal
Publisher : Springer Science & Business Media
Page : 610 pages
File Size : 19,46 MB
Release : 2008-04-08
Category : Computers
ISBN : 3540792279
This book constitutes the refereed proceedings of the 5th International Conference on Theory and Applications of Models of Computation, TAMC 2008, held in Xi'an, China in April 2008. The 48 revised full papers presented together with 2 invited talks and 1 plenary lecture were carefully reviewed and selected from 192 submissions. The papers address current issues of all major areas in computer science, mathematics (especially logic) and the physical sciences - computation, algorithms, complexity and computability theory in particular. With this crossdisciplinary character the conference is given a special flavor and distinction.