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Raymond Smullyan on Self Reference

2018-01-11 Philosophy
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Release : 2018-01-11
Genre : Philosophy
Kind : eBook
Book Rating : 328/5 ( reviews)

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Book Synopsis Raymond Smullyan on Self Reference by : Melvin Fitting

Download or read book Raymond Smullyan on Self Reference written by Melvin Fitting. This book was released on 2018-01-11. Available in PDF, EPUB and Kindle. Book excerpt: This book collects, for the first time in one volume, contributions honoring Professor Raymond Smullyan’s work on self-reference. It serves not only as a tribute to one of the great thinkers in logic, but also as a celebration of self-reference in general, to be enjoyed by all lovers of this field. Raymond Smullyan, mathematician, philosopher, musician and inventor of logic puzzles, made a lasting impact on the study of mathematical logic; accordingly, this book spans the many personalities through which Professor Smullyan operated, offering extensions and re-evaluations of his academic work on self-reference, applying self-referential logic to art and nature, and lastly, offering new puzzles designed to communicate otherwise esoteric concepts in mathematical logic, in the manner for which Professor Smullyan was so well known. This book is suitable for students, scholars and logicians who are interested in learning more about Raymond Smullyan's work and life.

Diagonalization and Self-reference

1994 Language Arts & Disciplines
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Release : 1994
Genre : Language Arts & Disciplines
Kind : eBook
Book Rating : 501/5 ( reviews)

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Book Synopsis Diagonalization and Self-reference by : Raymond M. Smullyan

Download or read book Diagonalization and Self-reference written by Raymond M. Smullyan. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to present a unified treatment of fixed points as they occur in Godel's incompleteness proofs, recursion theory, combinatory logic, semantics, and metamathematics. The book provides a survey of introductory material and a summary of recent research. The firstchapters are of an introductory nature and consist mainly of exercises with solutions given to most of them.

Self-Reference

2012-12-06 Philosophy
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Release : 2012-12-06
Genre : Philosophy
Kind : eBook
Book Rating : 51X/5 ( reviews)

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Book Synopsis Self-Reference by : S.J. Bartlett

Download or read book Self-Reference written by S.J. Bartlett. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Self-reference, although a topic studied by some philosophers and known to a number of other disciplines, has received comparatively little explicit attention. For the most part the focus of studies of self-reference has been on its logical and linguistic aspects, with perhaps disproportionate emphasis placed on the reflexive paradoxes. The eight-volume Macmillan Encyclopedia of Philosophy, for example, does not contain a single entry in its index under "self-reference", and in connection with "reflexivity" mentions only "relations", "classes", and "sets". Yet, in this volume, the introductory essay identifies some 75 varieties and occurrences of self-reference in a wide range of disciplines, and the bibliography contains more than 1,200 citations to English language works about reflexivity. The contributed papers investigate a number of forms and applications of self-reference, and examine some of the challenges posed by its difficult temperament. The editors hope that readers of this volume will gain a richer sense of the sti11largely unexplored frontiers of reflexivity, and of the indispensability of reflexive concepts and methods to foundational inquiries in philosophy, logic, language, and into the freedom, personality and intelligence of persons.

Recursion Theory for Metamathematics

1993-01-28 Mathematics
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Release : 1993-01-28
Genre : Mathematics
Kind : eBook
Book Rating : 812/5 ( reviews)

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Book Synopsis Recursion Theory for Metamathematics by : Raymond M. Smullyan

Download or read book Recursion Theory for Metamathematics written by Raymond M. Smullyan. This book was released on 1993-01-28. Available in PDF, EPUB and Kindle. Book excerpt: This work is a sequel to the author's Gödel's Incompleteness Theorems, though it can be read independently by anyone familiar with Gödel'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 both an introduction to the theory and a presentation of new results in the field.

The Gödelian Puzzle Book

2013-08-21 Mathematics
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Release : 2013-08-21
Genre : Mathematics
Kind : eBook
Book Rating : 770/5 ( reviews)

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Book Synopsis The Gödelian Puzzle Book by : Raymond M. Smullyan

Download or read book The Gödelian Puzzle Book written by Raymond M. Smullyan. This book was released on 2013-08-21. Available in PDF, EPUB and Kindle. Book excerpt: These logic puzzles provide entertaining variations on Gödel's incompleteness theorems, offering ingenious challenges related to infinity, truth and provability, undecidability, and other concepts. No background in formal logic necessary.

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