Abharī’s Solution to the Liar Paradox: A Logical Analysis

History and Philosophy of Logic 42 (1):1-16 (2021)
  Copy   BIBTEX

Abstract

The medieval Islamic solutions to the liar paradox can be categorized into three different families. According to the solutions of the first family, the liar sentences are not well-formed truth-apt sentences. The solutions of the second family are based on a violation of the classical principles of logic (e.g. the principle of non-contradiction). Finally, the solutions of the third family render the liar sentences as simply false without any contradiction. In the Islamic tradition, almost all the well-known solutions of the third family are inspired by the solution proposed by At_īr al-Dīn al-Abharī (d. 1265). Providing a logical analysis of his discussion of the liar paradox, I show that his solution is based on a conception of truth according to which every sentence signifies, usually among other things, its own truth. This makes Abharī’s solution of the same spirit as certain solutions that were later developed in the Latin tradition, in particular by John Buridan (d. 1358) and Albert of Saxony (d. 1390).

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 94,593

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

Truth Gaps, Truth Gluts, and the Liar Paradox.Jeremiah Joven Joaquin - 2020 - Philosophia: International Journal of Philosophy (Philippine e-journal) 21 (2):241-251.
Buridan's Solution to the Liar Paradox.Yann Benétreau-Dupin - 2015 - History and Philosophy of Logic 36 (1):18-28.
Logic without Truth: Buridan on the Liar.Gyula Klima - 2008 - In Shahid Rahman, Tero Tulenheimo & Emmanuel Genot (eds.), Unity, truth and the liar: the modern relevance of medieval solutions to the liar paradox. New York: Springer. pp. 87-112.
This Proposition is Not True: C.S. Peirce and the Liar Paradox.Richard Kenneth Atkins - 2011 - Transactions of the Charles S. Peirce Society 47 (4):421.
Undeniably Paradoxical.John Barker - 2008 - Polish Journal of Philosophy 2 (1):137-142.
The Liar Paradox and Bivalence.Douglas Steven Oro - 1988 - Dissertation, Brown University

Analytics

Added to PP
2020-08-12

Downloads
49 (#321,282)

6 months
24 (#147,700)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Mohammad Saleh Zarepour
University of Manchester

Citations of this work

Insolubles.Paul Vincent Spade - 2008 - Stanford Encyclopedia of Philosophy.

Add more citations