SELF-REFERENCE

Edited by
THOMAS BOLANDER

VINCENT F. HENDRICKS
STIG ANDUR PEDERSEN

CSLI Publications, June 2006, 200 pages


ISBN 1575865157  (hardback)
ISBN 1575865165 (paperback)

Blurbs
Abstract
Table of Contents
Cover

Order from Amazon:    US

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

Abstract

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Here is an anthology of previously unpublished essays on self-reference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.  

 

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 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

 

Cover