Mathematical Perspectives on Liar Paradoxes

Logica Universalis 15 (3):251-269 (2021)
  Copy   BIBTEX


The liar paradox is a famous and ancient paradox related to logic and philosophy. It shows it is perfectly possible to construct sentences that are correct grammatically and semantically but that cannot be true or false in the traditional sense. In this paper the authors show four approaches to interpreting paradoxes that illustrate the influence of: the levels of language, their belonging to indeterminate compatible propositions or indeterminate propositions, being based on universal antinomy and the theory of dialetheism.



    Upload a copy of this work     Papers currently archived: 93,127

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Dialetheism and the Graphic Liar.Greg Littmann - 2012 - Canadian Journal of Philosophy 42 (1):15-27.
A Dilemma for Dialetheism.Jason Zarri - 2010 - The Dualist 15 (Spring):21-31.
Symmetry and Paradox.Stephen Read - 2006 - History and Philosophy of Logic 27 (4):307-318.
Horwich and Semantic Epistemicism.Sergi Oms - 2018 - Proceedings of the XXIII World Congress of Philosophy 53:99-103.
The Liar: An Essay on Truth and Circularity.Jon Barwise & John Etchemendy - 1987 - Oxford, England and New York, NY, USA: Oxford University Press USA. Edited by John Etchemendy.
Liar-Like Paradoxes and Metalanguage Features.Klaus Ladstaetter - 2013 - Southwest Philosophy Review 29 (1):61-70.
Liar-type Paradoxes and the Incompleteness Phenomena.Makoto Kikuchi & Taishi Kurahashi - 2016 - Journal of Philosophical Logic 45 (4):381-398.
The Liar Paradox and “Meaningless” Revenge.Jared Warren - 2023 - Journal of Philosophical Logic 53 (1):49-78.
Burge's Contextual Theory of Truth and the Super-Liar Paradox.Matt Leonard - 2012 - In Michal Pelis Vit Puncochar (ed.), The Logica Yearbook 2011. College Publications.


Added to PP

52 (#315,228)

6 months
16 (#172,419)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

The Foundations of Mathematics and Other Logical Essays.Frank Plumpton Ramsey - 1925 - London, England: Routledge & Kegan Paul. Edited by R. B. Braithwaite.
Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
The semantic conception of truth and the foundations of semantics.Alfred Tarski - 1943 - Philosophy and Phenomenological Research 4 (3):341-376.
The logic of paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
The ways of paradox.W. V. Quine - 1966 - New York,: Random.

View all 20 references / Add more references