SELF-REFERENCE AND PARADOX IN 2 AND 3 DIMENSIONS

Authors
GRIM P MAR G NEIGER M STDENIS P
Citation
P. Grim et al., SELF-REFERENCE AND PARADOX IN 2 AND 3 DIMENSIONS, Computers & graphics, 17(5), 1993, pp. 609-612
Citations number
6
Categorie Soggetti
Computer Sciences, Special Topics","Computer Applications & Cybernetics
Journal title
Computers & graphics → ACNP
ISSN journal
00978493
Volume
17
Issue
5
Year of publication
1993
Pages
609 - 612
Database
ISI
SICI code
0097-8493(1993)17:5<609:SAPI2A>2.0.ZU;2-S
Abstract
The Liar paradox is a familiar sentence that asserts its own falsehood . Just slightly less familiar is the Dualist, involving a pair of mutu ally referential sentences. Here we consider variations on the Dualist and Triplist, modelling their dynamical semantics using iteration wit hin an infinite-valued logic. Strange attractors and fractal escape-ti me diagrams appear in two dimensions for the Dualist and in three dime nsions for the Triplist.