PARADOXES
PARADOXES
Author(s): Draghici VirgilSubject(s): Philosophy
Published by: Presa Universitara Clujeana
Keywords: paradoxes; limitative theorems; self-reference; modal systems; inconsistencies; solutions.
Summary/Abstract: The aim of this paper is twofold: 1. the analysis of the way the Liar paradox is related to the limitative theorems, by a) a presentation of the linguistic form of Gödel sentence G (of Findlays [1] account), b) a formal-arithmetical reconstruction of the sentence G, and c) an abstract formal analysis (Smullyan’s style) of the limitative theorems, in order to discover their relationship with Liar paradox, and 2. the analysis of a possible solution to some paradoxes, by detecting the inconsistencies of some self-referential systems, both in a syntactical approach and a modal one.
Journal: Logos Architekton. Journal of Logic and Philosophy of Science
- Issue Year: 2/2008
- Issue No: 02
- Page Range: 59-84
- Page Count: 26
- Language: English