SELF-REFERENCE
Edited by
THOMAS BOLANDER
VINCENT
F. HENDRICKS
STIG ANDUR PEDERSEN
ISBN 1575865157
(hardback)
ISBN 1575865165 (paperback)
Blurbs
Abstract
Table of
Contents
Cover
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BLURBS
This is a book that every logician will want to read. The well-worn
topics of self-reference and the paradoxes have been given new life
in these papers by a distinguished group of logicians.
- Elliot Mendelson
For over 2000 years, self-reference, in the form of the Liar's Paradox, was considered a philosophical oddity. In 1902, self-referential set-theoretic paradoxes triggered a foundational crisis in mathematics.
Since then,
self-reference has continued to play a key role in philosophical and
mathematical logic, as well as, more recently, in theoretical
computer science. This thought-provoking volume contains a
collection of cutting-edge articles on this important topic.
-
Moshe Y. Vardi
This false statement is not self-referential. The following,
however,is true as well as self-referential.
Here is an anthology of previously unpublished essays on
self-reference
from some of the most outstanding scholars in philosophy,
mathematics, and computer science.
This volume is accessible to students and compelling for scholars as
it re-examines the latest theories of self-reference, including
those that attempt to explain and resolve the semantic and
set-theoretic paradoxes.
A thorough introduction by the editors sets the stage for original
contributions from Andrea Cantini, Melvin Fitting, Anil Gupta, Vann
McGee, Don Perlis, Graham Priest, Raymond M. Smullyan, and Stephen
Yablo.
1
Introduction / T. Bolander, V.F. Hendricks, and S.A. Pedersen
2 Fixed Point Constructions / Andrea Cantini
3 Bilattices are Nice Things / Melvin Fitting
4 Finite Circular Definitions /Anil Gupta
5 In Praise of the Free Lunch / Vann McGee
6 Theory and Application of Self-Reference /Don Perlis
7 The Paradoxes of Denotation / Graham Priest
8 Self-Reference in All Its Glory! / Raymond M. Smullyan
9 Circularity and Paradox / Stephen Yablo
Index
