The many faces of the Liar Paradox

The Liar Paradox is a classic argument that creates a contradiction by reflection on a sentence that attributes falsity to itself: ‘this sentence is false’. In our paper we will discuss the ways in which the Liar sentence (and its paradoxical argument) can be represented in first-order logic. The ke...

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Bibliographic Details
Published in:Principia: An International Journal of Epistemology
Main Authors: José Martínez-Fernández, Sergi Oms
Format: Article
Language:English
Published: Universidade Federal de Santa Catarina 2024-07-01
Subjects:
Liar Paradox
Truth
Self-reference
Semantic Paradox
Online Access:https://periodicos.ufsc.br/index.php/principia/article/view/96700
Description
Summary:The Liar Paradox is a classic argument that creates a contradiction by reflection on a sentence that attributes falsity to itself: ‘this sentence is false’. In our paper we will discuss the ways in which the Liar sentence (and its paradoxical argument) can be represented in first-order logic. The key to the representation is to use first-order logic to model a self-referential language. We will also discuss several related sentences, like the Liar cycles, the empirical versions of the Liar and the Truth teller sentences.
ISSN:1808-1711

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