scispace - formally typeset
Search or ask a question
Journal ArticleDOI

The Liar Paradox

14 Apr 2015-Open Journal of Philosophy (Scientific Research Publishing)-Vol. 05, Iss: 05, pp 253-260
TL;DR: In this article, a serious message on life, at the core of reasoning, to wit, "I am a liar" self-destructive infests reasoning to undermine it to fill life with oxymora, then proposes a singing way out in music.
Abstract: This essay delivers a serious message on life, at the core of reasoning, to wit, “I am a liar” self-destructive infests reasoning to undermine it to fill life with oxymora, then proposes a singing way out in music. This essay is naturally divided into three sections: one, how self-destructive the liar paradox is life-ubiquitous; two, the liar paradox as basic to logic and philosophy; and three, how to deal with the liar paradox in snake-charming, in “Tying.” In short, these pages say that “I am a liar” self-denies to self-destroy, to demolish the structure of living (Section 1) and reasoning (Section 2). Such self-demolition must be snake-charmed into deeply singing life and reasoning (Section 3).

Content maybe subject to copyright    Report

Citations
More filters
Journal ArticleDOI
TL;DR: In this paper, the authors argue that logic cannot go everywhere; we need to provide non-logical axioms to specify our theories, which is the source of discomfort for LP-based theorists, particularly with respect to true mathematical theories.
Abstract: . I believe that, for reasons elaborated elsewhere (Beall, 2009; Priest, 2006a, 2006b), the logic LP (Asenjo, 1966; Asenjo & Tamburino, 1975; Priest, 1979) is roughly right as far as logic goes.1 But logic cannot go everywhere; we need to provide nonlogical axioms to specify our (axiomatic) theories. This is uncontroversial, but it has also been the source of discomfort forLP-based theorists, particularly with respect to true mathematical theories which we take to be consistent. My example, throughout, is arithmetic; but the more general case is also considered.

97 citations


Cites background from "The Liar Paradox"

  • ...§3 briefly rehearses a notably odd, though recently muchdiscussed, feature of robustly contraction-free theories, namely, that they must, on 2See e.g. Kripke (1975), Martin and Woodruff (1975), Maudlin (2004), and Field (2008), and early precedents in Martin (1970)....

    [...]

Book ChapterDOI
01 Jan 2015
TL;DR: The notion of strict-to-tolerant consequence was introduced in this paper, where a sentence A is a permissive consequence of a set of premises Γ whenever, if all the premises of Γ hold up to some standard, then A holds to some weaker standard.
Abstract: We say that a sentence A is a permissive consequence of a set of premises Γ whenever, if all the premises of Γ hold up to some standard, then A holds to some weaker standard. In this paper, we focus on a three-valued version of this notion, which we call strict-to-tolerant consequence, and discuss its fruitfulness toward a unified treatment of the paradoxes of vagueness and self-referential truth. For vagueness, st-consequence supports the principle of tolerance; for truth, it supports the requisit of transparency. Permissive consequence is non-transitive, however, but this feature is argued to be an essential component to the understanding of paradoxical reasoning in cases involving vagueness or self-reference.

39 citations

Journal ArticleDOI
01 Dec 2013-Noûs
TL;DR: The authors defend a conception of language that does not rely on linguistic meanings, and use it to address the Sorites and Liar paradoxes, and defend a notion of language which does not depend on linguistic meaning.
Abstract: The purpose of this paper is to defend a conception of language that does not rely on linguistic meanings, and use it to address the Sorites and Liar paradoxes.

34 citations


Additional excerpts

  • ...(For discussion of contextualism, see (Parsons, 1974; Burge, 1979; Glanzberg, 2004).)...

    [...]

Dissertation
01 Jan 2018

29 citations

Journal ArticleDOI
TL;DR: This paper studies four-valued infectious logics as the basis of transparent theories of truth, and provides sound and complete four-sided sequent calculi, arguing that the most important technical and philosophical features taken into account to usually prefer standard calculi are, indeed, enjoyed by the four- sided systems.
Abstract: Fil: Da Re, Bruno. Instituto de Investigaciones Filosoficas - Sadaf; Argentina. Universidad de Buenos Aires. Facultad de Filosofia y Letras. Departamento de Filosofia; Argentina. Consejo Nacional de Investigaciones Cientificas y Tecnicas; Argentina

21 citations

References
More filters
Book
28 Mar 2011
TL;DR: The first edition of "Eichmann in Jerusalem" appeared as a series of articles in "The New Yorker" in 1963 and was later published as a book in 1970 as discussed by the authors.
Abstract: Hannah Arendt's portrayal of the terrible consequences of blind obedience, "Eichmann in Jerusalem: A Report on the Banality of Evil" contains an introduction by Amos Elon in "Penguin Classics". Sparking a flurry of heated debate, Hannah Arendt's authoritative and stunning report on the trial of German Nazi SS leader Adolf Eichmann first appeared as a series of articles in "The New Yorker" in 1963. This revised edition includes material that came to light after the trial, as well as Arendt's postscript commenting on the controversy that arose over her book. A major journalistic triumph by an intellectual of singular influence, "Eichmann in Jerusalem" is as shocking as it is informative - a meticulous and unflinching look at one of the most unsettling (and unsettled) issues of the twentieth century. Hannah Arendt (1906-1975) was for many years University Professor of Political Philosophy in the Graduate Faculty of the New School for Social Research and a Visiting Fellow of the Committee on Social Thought at the University of Chicago. She is also the author of "Eichmann in Jerusalem", "On Revolution", and "Between Past and Future". If you enjoyed "Eichmann in Jerusalem", you might like Elie Wiesel's "Night", available in "Penguin Modern Classics". "Deals with the greatest problem of our time ...the problem of the human being within a modern totalitarian system". (Bruno Bettelheim, "The New Republic"). "A profound and documented analysis...Bound to stir our minds and trouble our consciences". ("Chicago Tribune").

2,986 citations


"The Liar Paradox" refers background in this paper

  • ...Hannah Arendt, a Jewish scholar, judges that no single Jew rose up against the Nazis (Arendt, 1963)....

    [...]

  • ...Her life (1906-1975) was lived within the Nazi era (1919-1945), so, she is a Jew she accuses of not rising up against the Nazis; her accusation self-accuses, as “I am a liar” self-lies....

    [...]

Book
01 Jan 1980

575 citations


"The Liar Paradox" refers background in this paper

  • ...The famous mathematical logician Kurt Gödel (Dawson Jr., 1997; Kline, 1980) has conclusively proved, alone, that every proof must be proved not-alone but proved by other proofs (Dawson Jr., 1997; Kline, 1980)....

    [...]

Book
31 Dec 1996
TL;DR: Kurt Goedel's seminal achievements that changed the perception and foundations of mathematics are explained in the context of his life from the turn of the century Austria to the Institute for Advanced Study in Princeton.
Abstract: This authoritative biography of Kurt Goedel relates the life of this most important logician of our time to the development of the field. Goedel's seminal achievements that changed the perception and foundations of mathematics are explained in the context of his life from the turn of the century Austria to the Institute for Advanced Study in Princeton.

122 citations

Book
01 Jan 1954
TL;DR: The immense reaches of Alfred North Whitehead's thought in philosophy, religion, science, statesmanship, education, literature, art and conduct of life are gathered and edited by critic and writer Lucien Price as mentioned in this paper.
Abstract: The immense reaches of Alfred North Whitehead's thought--in philosophy, religion, science, statesmanship, education, literature, art and conduct of life--are gathered and edited by critic and writer Lucien Price. Time, the present; scene, the Cambridge of Harvard (with flashbacks to London, Cambridge, England, and his native Ramsgate in Kent); cast, undergraduates along with men and women, often eminent, who join in his penetrating, audacious, and exhilarating verbal forays. The subjects discussed range from smallest details of modern living to the greatest ideas that have animated the mind of man--presented here in a volume The Washington Post called "as readable as it is provocative."

72 citations