SELF-REFERENCE AND THE LIMITS OF THOUGHT

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...

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Main Author: Lucian Constantin PETRAŞ
Format: Article
Language:deu
Published: Babeș-Bolyai University 2019-11-01
Series:Studia Universitatis Babeș-Bolyai. Philosophia
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Online Access:https://studia.reviste.ubbcluj.ro/index.php/subbphilosophia/article/view/3119
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author Lucian Constantin PETRAŞ
author_facet Lucian Constantin PETRAŞ
author_sort Lucian Constantin PETRAŞ
collection DOAJ
description 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.
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series Studia Universitatis Babeș-Bolyai. Philosophia
spelling doaj-art-eb4f13a1838543f5b8f62037951e8c8b2025-08-20T03:58:17ZdeuBabeș-Bolyai UniversityStudia Universitatis Babeș-Bolyai. Philosophia2065-94072019-11-0164Special Issue10.24193/subbphil.2019.spiss.08SELF-REFERENCE AND THE LIMITS OF THOUGHTLucian Constantin PETRAŞ0PhD candidate, Doctoral School of Philosophy, Faculty of History and Philosophy, Babeş-Bolyai University, Cluj-Napoca, Romania. Email: lucian.petras@ravago.ro. 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. https://studia.reviste.ubbcluj.ro/index.php/subbphilosophia/article/view/3119self-reference, paradox, incompleteness theorems, Gödel, Grelling
spellingShingle Lucian Constantin PETRAŞ
SELF-REFERENCE AND THE LIMITS OF THOUGHT
Studia Universitatis Babeș-Bolyai. Philosophia
self-reference, paradox, incompleteness theorems, Gödel, Grelling
title SELF-REFERENCE AND THE LIMITS OF THOUGHT
title_full SELF-REFERENCE AND THE LIMITS OF THOUGHT
title_fullStr SELF-REFERENCE AND THE LIMITS OF THOUGHT
title_full_unstemmed SELF-REFERENCE AND THE LIMITS OF THOUGHT
title_short SELF-REFERENCE AND THE LIMITS OF THOUGHT
title_sort self reference and the limits of thought
topic self-reference, paradox, incompleteness theorems, Gödel, Grelling
url https://studia.reviste.ubbcluj.ro/index.php/subbphilosophia/article/view/3119
work_keys_str_mv AT lucianconstantinpetras selfreferenceandthelimitsofthought