Formalizing the logical (self-reference) error of the Liar Paradox

Abstract

This paper decomposes the Liar Paradox into its semantic atoms using Meaning Postulates (1952) provided by Rudolf Carnap. Formalizing truth values of propositions as Boolean properties of these propositions is a key new insight. This new insight divides the translation of a declarative sentence into its equivalent mathematical proposition into three separate steps. When each of these steps are separately examined the logical error of the Liar Paradox is unequivocally shown.

Categories

Keywords

Reprint years

Links

PhilArchive

External links

  • This entry has no external links. Add one.
Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

  • Only published works are available at libraries.

My notes

Similar books and articles

The liar paradox in new clothes.Jeff Snapper - 2012 - Analysis 72 (2):319-322.
The liar: What paradox? [REVIEW]Avrum Stroll - 1988 - Argumentation 2 (1):63-75.
Denying The Liar.Dale Jacquette - 2007 - Polish Journal of Philosophy 1 (2):91-98.
The Byzantine Liar.Stamatios Gerogiorgakis - 2009 - History and Philosophy of Logic 30 (4):313-330.
On the storeyed revenge of strengthened liars, and the contrary finality of no-proposition resolutions.Jordan Howard Sobel - manuscript
Origen and Basil of Caesarea on the Liar Paradox.Mark DelCogliano - 2011 - Augustinianum 51 (2):349-365.
On a medieval solution to the liar paradox.Keith Simmons - 1987 - History and Philosophy of Logic 8 (2):121-140.
Equiparadoxicality of Yablo’s Paradox and the Liar.Ming Hsiung - 2013 - Journal of Logic, Language and Information 22 (1):23-31.
Unity, truth and the liar: the modern relevance of medieval solutions to the liar paradox.Shahid Rahman, Tero Tulenheimo & Emmanuel Genot (eds.) - 2008 - New York: Springer.
Liar paradox.Bradley Dowden - 2001 - Internet Encyclopedia of Philosophy.
The Liar Paradox and Bivalence.Douglas Steven Oro - 1988 - Dissertation, Brown University
Liar Paradox and Substitution into Intensional Contexts.Dale Jacquette - 2010 - Polish Journal of Philosophy 4 (1):119-147.
Buridan's Solution to the Liar Paradox.Yann Benétreau-Dupin - 2015 - History and Philosophy of Logic 36 (1):18-28.
The principle of uniform solution (of the paradoxes of self-reference).Nicholas J. J. Smith - 2000 - Mind 109 (433):117-122.
''Every proposition asserts itself to be true'': A Buridanian solution to the Liar paradox?Simon Evnine - manuscript

Analytics

Added to PP
2016-09-05

Downloads
639 (#26,933)

6 months
61 (#76,997)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references