SELFREFERENCE
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 wellworn
topics of selfreference and the paradoxes have been given new life
in these papers by a distinguished group of logicians.
 Elliot Mendelson
For over 2000 years, selfreference, in the form of the Liar's
Paradox, was considered a philosophical oddity. In 1902,
selfreferential settheoretic paradoxes triggered a foundational
crisis in mathematics.
Since then,
selfreference has continued to play a key role in philosophical and
mathematical logic, as well as, more recently, in theoretical
computer science. This thoughtprovoking volume contains a
collection of cuttingedge articles on this important topic.

Moshe Y. Vardi
Abstract
This false statement is not selfreferential. The following,
however,is true as well as selfreferential.
Here is an anthology of previously unpublished essays on
selfreference
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 reexamines the latest theories of selfreference, including
those that attempt to explain and resolve the semantic and
settheoretic 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.
Table
of Contents
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 SelfReference /Don Perlis
7 The Paradoxes of Denotation / Graham Priest
8 SelfReference in All Its Glory! / Raymond M. Smullyan
9 Circularity and Paradox / Stephen Yablo
Index
Cover
