Raymond Smullyan On Self Reference

Author: Melvin Fitting
Editor: Springer
ISBN: 3319687328
File Size: 10,62 MB
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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

Author: Raymond M. Smullyan
Editor: Oxford University Press on Demand
ISBN: 9780198534501
File Size: 52,62 MB
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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. It provides a survey of introductory material and a summary of recent research. The first chapters are of an introductory nature, and consist mainly of exercises with solutions given to most of them. The book should be of interest to researchers and graduate students in mathematical logic.

Self Reference

Author: S.J. Bartlett
Editor: Springer Science & Business Media
ISBN: 940093551X
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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.

Choice

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The Philosophy Of Mathematics

Author: Jaakko Hintikka
Editor: London : Oxford U.P.
ISBN:
File Size: 60,58 MB
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Paradoxes

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Editor: PediaPress
ISBN:
File Size: 46,44 MB
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Language And Negation

Author: Daniel A. Cowan
Editor:
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Mathematical Reviews

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Satan Cantor Infinity

Author: Raymond M. Smullyan
Editor: Courier Corporation
ISBN: 0486470369
File Size: 14,54 MB
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Honorable knights, lying knaves, and other fanciful characters populate this unusual survey of the principles underlying the works of Georg Cantor. Created by a renowned mathematician, these engaging puzzles apply logical precepts to issues of infinity, probability, time, and change. They require a strong mathematics background and feature complete solutions.

Dr Dobb S Journal

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File Size: 39,97 MB
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The Journal Of Symbolic Logic

Author: Alonzo Church
Editor:
ISBN:
File Size: 80,19 MB
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Includes lists of members.

Intensional Mathematics

Author: S. Shapiro
Editor: Elsevier
ISBN: 9780080880044
File Size: 33,46 MB
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``Platonism and intuitionism are rival philosophies of Mathematics, the former holding that the subject matter of mathematics consists of abstract objects whose existence is independent of the mathematician, the latter that the subject matter consists of mental construction... both views are implicitly opposed to materialistic accounts of mathematics which take the subject matter of mathematics to consist (in a direct way) of material objects...'' FROM THE INTRODUCTION Among the aims of this book are: - The discussion of some important philosophical issues using the precision of mathematics. - The development of formal systems that contain both classical and constructive components. This allows the study of constructivity in otherwise classical contexts and represents the formalization of important intensional aspects of mathematical practice. - The direct formalization of intensional concepts (such as computability) in a mixed constructive/classical context.

The Bulletin Of Mathematics Books

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Hastings Law Journal

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File Size: 41,51 MB
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Index To Current Technical Literature

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The Philosopher S Index Subject Index

Author: Richard H. Lineback
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File Size: 49,67 MB
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The American Mathematical Monthly

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File Size: 26,66 MB
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