© 2017

Raymond Smullyan on Self Reference

  • Melvin Fitting
  • Brian Rayman
  • Celebrates Raymond Smullyan, a mathematician, philosopher, musician, and inventor of logic puzzles, who has made a lasting impact on the study of mathematical logic

  • Is the first book honoring Raymond Smullyan’s contributions to self-reference, with new approaches by his peers

  • Collects tributes to Professor Raymond Smullyan’s work on self-reference by leading logicians

  • Presents new approaches to self-reference


Part of the Outstanding Contributions to Logic book series (OCTR, volume 14)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Melvin Fitting
    Pages 1-22
  3. Robert L. Constable
    Pages 23-38
  4. Melvin Fitting
    Pages 47-66
  5. Henk Barendregt, Jörg Endrullis, Jan Willem Klop, Johannes Waldmann
    Pages 67-111
  6. Rick Statman
    Pages 113-122
  7. Martin Davis
    Pages 141-146
  8. Andrew G. Buchanan, John H. Conway
    Pages 165-180
  9. Raymond M. Smullyan
    Pages 191-195

About this book


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.


Raymond Smullyan death Raymond Smullyan dead Henk Barendregt Smullyan Robert Cowen Smullyan Martin Davis Smullyan Vann McGee Smullyan Richard Statman Smullyan Stephen Yablo Smullyan Bob Constable Smullyan John Conway Smullyan Andrew Buchanan Smullyan Walter Carnielli Smullyan Jorg Endrullis Smullyan Jan Willem Klop Smullyan Gödel Johannes Smullyan Self-reference logic Incompleteness logic Constructive Type Theory Recursion logic Raymond Smullyan RIP

Editors and affiliations

  • Melvin Fitting
    • 1
  • Brian Rayman
    • 2
  1. 1.City University of New York (CUNY) SystemCity University of New YorkNew York CityUSA
  2. 2.NYC Department of EducationBrooklynUSA

About the editors

Profile Editor 1:

Melvin Fitting began his scientific career in 1968 and became Professor Emeritus in 2013, working for the entire time at the City University of New York. His work as a logician has included set theory, automated theorem proving, computer language semantics, and philosophical logic. Some of his books in these areas are well known, while others are not as well known as he would like. Following the example of his thesis advisor, Raymond Smullyan, retirement has not meant the end of a research career.

Profile Editor 2:

Brian Rayman works for New York City’s Department of Education. He holds Mathematics Education and Public Policy degrees from New York University and Columbia University, respectively. Since his days as an undergraduate, Brian has deeply embraced Professor Smullyan’s works in recreational mathematics and Eastern philosophy. As a high school mathematics teacher, he integrated Raymond’s work into his curriculum and invited him to speak to his students. Raymond kindly accepted and after two hours, students were no longer sure where mathematics ended and magic began, and vice versa. Today, he considers his most significant accomplishment as being counted among Raymond’s friends and performing magic tricks that nearly made Raymond’s eyes pop out. Brian lives in Carroll Gardens, Brooklyn, with his wife and two sons.

Bibliographic information

  • Book Title Raymond Smullyan on Self Reference
  • Editors Melvin Fitting
    Brian Rayman
  • Series Title Outstanding Contributions to Logic
  • Series Abbreviated Title Outstanding Contributions
  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Religion and Philosophy Philosophy and Religion (R0)
  • Hardcover ISBN 978-3-319-68731-5
  • Softcover ISBN 978-3-319-88647-3
  • eBook ISBN 978-3-319-68732-2
  • Series ISSN 2211-2758
  • Series E-ISSN 2211-2766
  • Edition Number 1
  • Number of Pages VIII, 195
  • Number of Illustrations 5 b/w illustrations, 18 illustrations in colour
  • Topics Logic
    Mathematical Logic and Foundations
    Theory of Computation
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