SELF-REFERENCE AND THE LIMITS OF THOUGHT
SELF-REFERENCE AND THE LIMITS OF THOUGHT
Author(s): Lucian Constantin PetraşSubject(s): Logic
Published by: Studia Universitatis Babes-Bolyai
Keywords: self-reference; paradox; incompleteness theorems; Gödel; Grelling;
Summary/Abstract: Self-reference and the Limits of Thought. This paper explores the connection between the natural language and a formal language from a particular point of view: self-referential constructions. Such constructions lead to some kind of limits of thought, either in the form of paradoxical constructions (Liar-type or Grelling-type), or in the form of the so called limitative theorems in mathematical logic (e.g. Gödel’s theorem). By deriving Gödel’s significant results from paradoxical constructions the limitative character of such self-referential constructions is preserved, but they open the ways for a new representation of a great variety of arguments in the field of logic, mathematics and philosophy.
Journal: Studia Universitatis Babes-Bolyai - Philosophia
- Issue Year: 64/2019
- Issue No: Sp.Issue
- Page Range: 111-118
- Page Count: 8
- Language: English