Computability And Mind

Author : George Boolos
Publisher : Harvard University Press
ISBN 13 : 9780674537675
Total Pages : 458 pages
Book Rating : 4.7X/5 ( download)

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Download or read book Logic, Logic, and Logic written by George Boolos and published by Harvard University Press. This book was released on 1998 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: George Boolos was one of the most prominent and influential logician-philosophers of recent times. This collection, nearly all chosen by Boolos himself shortly before his death, includes thirty papers on set theory, second-order logic, and plural quantifiers; on Frege, Dedekind, Cantor, and Russell; and on miscellaneous topics in logic and proof theory, including three papers on various aspects of the Gödel theorems. Boolos is universally recognized as the leader in the renewed interest in studies of Frege's work on logic and the philosophy of mathematics. John Burgess has provided introductions to each of the three parts of the volume, and also an afterword on Boolos's technical work in provability logic, which is beyond the scope of this volume.

Author : Darren Abramson
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.55/5 ( download)

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Download or read book Computability and Mind written by Darren Abramson and published by . This book was released on 2006 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: My dissertation articulates and defends an account of the relationship between mental states and physical states. I argue that computational functionalism is the correct account of this relationship. I argue for a new version of computational functionalism. First, I describe a notion of set that is neither finite nor infinite. Through a series of diverse philosophical examples, I show that such potentially infinite sets are of broad theoretical interest. Then I apply these sets to computability.

Author : George S. Boolos
Publisher : Cambridge University Press
ISBN 13 : 0521877520
Total Pages : 365 pages
Book Rating : 4.27/5 ( download)

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Download or read book Computability and Logic written by George S. Boolos and published by Cambridge University Press. This book was released on 2007-09-17 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fifth edition of 'Computability and Logic' covers not just the staple topics of an intermediate logic course such as Godel's incompleteness theorems, but also optional topics that include Turing's theory of computability and Ramsey's theorem.

Author : B. Jack Copeland
Publisher : MIT Press
ISBN 13 : 0262527480
Total Pages : 373 pages
Book Rating : 4.84/5 ( download)

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Download or read book Computability written by B. Jack Copeland and published by MIT Press. This book was released on 2015-01-30 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Contributors Scott 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 : Roger Penrose
Publisher : Oxford University Press, USA
ISBN 13 : 9780195106466
Total Pages : 484 pages
Book Rating : 4.66/5 ( download)

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Download or read book Shadows of the Mind written by Roger Penrose and published by Oxford University Press, USA. This book was released on 1994 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the author's thesis that consciousness, in its manifestation in the human quality of understanding, is doing something that mere computation cannot; and attempts to understand how such non-computational action might arise within scientifically comprehensive physical laws.

Author : Andy Wells
Publisher : Bloomsbury Publishing
ISBN 13 : 113706661X
Total Pages : 288 pages
Book Rating : 4.19/5 ( download)

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Download or read book Rethinking Cognitive Computation written by Andy Wells and published by Bloomsbury Publishing. This book was released on 2017-09-16 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rethinking Cognitive Computation explores the hypothesis that the mind is a computer. The exploration is based on the pioneering work of Alan Turing and presents the first detailed exposition of his theory of computation intended specifically for psychologists. Turing's bold and beautiful theory provides an ideal perspective from which to evaluate current computational thinking about the mind. The book examines the strengths and weaknesses of symbol systems and connectionist theorising and proposes a new approach called ecological functionalism. Ecological functionalism is based on Turing's fundamental insights and extends them by drawing on contemporary theories of concurrent and distributed computation to cover a wide range of psychological domains. Ecological functionalism provides the basis for a powerful, unified theory of great scope which includes social as well as individual processes. The book is intended for teaching but will also be of interest to researchers in cognitive science, psychology and philosophy of mind. Andrew Wells is a lecturer in psychology at the London School of Economics and Political Science. He has qualifications in philosophy, psychology and computer science and has published papers on a range of psychological topics.

Author : Dexter C. Kozen
Publisher : Springer
ISBN 13 : 364285706X
Total Pages : 399 pages
Book Rating : 4.65/5 ( download)

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Download or read book Automata and Computability written by Dexter C. Kozen and published by Springer. This book was released on 2013-11-11 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are my lecture notes from CS381/481: Automata and Computability Theory, a one-semester senior-level course I have taught at Cornell Uni versity for many years. I took this course myself in thc fall of 1974 as a first-year Ph.D. student at Cornell from Juris Hartmanis and have been in love with the subject ever sin,:e. The course is required for computer science majors at Cornell. It exists in two forms: CS481, an honors version; and CS381, a somewhat gentler paced version. The syllabus is roughly the same, but CS481 go es deeper into thc subject, covers more material, and is taught at a more abstract level. Students are encouraged to start off in one or the other, then switch within the first few weeks if they find the other version more suitaLle to their level of mathematical skill. The purpose of t.hc course is twofold: to introduce computer science students to the rieh heritage of models and abstractions that have arisen over the years; and to dew!c'p the capacity to form abstractions of their own and reason in terms of them.

Author : Roger Penrose
Publisher : Oxford Paperbacks
ISBN 13 : 0192861980
Total Pages : 634 pages
Book Rating : 4.86/5 ( download)

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Download or read book The Emperor's New Mind written by Roger Penrose and published by Oxford Paperbacks. This book was released on 1999-03-04 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the Wolf Prize for his contribution to our understanding of the universe, Penrose takes on the question of whether artificial intelligence will ever approach the intricacy of the human mind. 144 illustrations.

Author : Zenon W. Pylyshyn
Publisher : National Geographic Books
ISBN 13 : 026266058X
Total Pages : 0 pages
Book Rating : 4.87/5 ( download)

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Download or read book Computation and Cognition written by Zenon W. Pylyshyn and published by National Geographic Books. This book was released on 1986-02-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The question, "What is Cognitive Science?" is often asked but seldom answered to anyone's satisfaction. Until now, most of the answers have come from the new breed of philosophers of mind. This book, however, is written by a distinguished psychologist and computer scientist who is well-known for his work on the conceptual foundations of cognitive science, and especially for his research on mental imagery, representation, and perception. In Computation and Cognition, Pylyshyn argues that computation must not be viewed as just a convenient metaphor for mental activity, but as a literal empirical hypothesis. Such a view must face a number of serious challenges. For example, it must address the question of "strong equivalents" of processes, and must empirically distinguish between phenomena which reveal what knowledge the organism has, phenomena which reveal properties of the biologically determined "functional architecture" of the mind. The principles and ideas Pylyshyn develops are applied to a number of contentious areas of cognitive science, including theories of vision and mental imagery. In illuminating such timely theoretical problems, he draws on insights from psychology, theoretical computer science, artificial intelligence, and psychology of mind. A Bradford Book

Author : Andy Wells
Publisher : Palgrave Macmillan
ISBN 13 : 9781403911629
Total Pages : 288 pages
Book Rating : 4.22/5 ( download)

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Download or read book Rethinking Cognitive Computation written by Andy Wells and published by Palgrave Macmillan. This book was released on 2005-12-17 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed understanding of the computational foundations of cognitive science. The author makes a critical evaluation of the symbol processing and connectionist approaches which constitute the current mainstream; and offers a new computational framework for cognitive science.