Unleashing the Nature of the Paradox of Nonexistence

Journal of the Indian Council of Philosophical Research 39 (3):263-278 (2022)
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Abstract

This paper tries to unleash the nature of the paradox of nonexistence or non-being or negative singular existentials by using a General Metalogical Theory. In the first section, this paper explains in detail the paradox of negative singular eixistentials and explains how Alexius Meinong and Bertrand Russell respond to this paradox. Russell resolves the paradox using quantification method which Quine extends to formulate a criterion of ontological commitments. In the second section, a General Metalogical Theory is explained, and it is shown that how the developed General Metalogical Theory is useful in unleashing the paradox of nonexistence. The principles of General Metalogical Theory is developed from Quine’s criterion: to be is to be the value of bound variable. In Quine’s criterion, the notion of the bound variable is significant. The General Metalogical Theory in unleashing the nature of the paradox mainly focuses on the question: from where does the binding of the bound variable come? The paper argues that it is not enough to say that the binding of the bound variable comes from the existentially loaded use of the particular quantifier. General Metalogical Theory attempts to show that the binding of the bound variable comes from somewhere else, so that we attach the particular quantifier to the variable and use the particular quantifier in an existentially loaded sense. Explaining the binding nature of the bound variable in the above-mentioned manner will unleash the nature of the paradox.

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Jolly Thomas
Indian Institute of Technology, Dharwad

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References found in this work

On the Plurality of Worlds.David K. Lewis - 1986 - Malden, Mass.: Wiley-Blackwell.
On Denoting.Bertrand Russell - 1905 - Mind 14 (56):479-493.
On the Plurality of Worlds.David Lewis - 1986 - Revue Philosophique de la France Et de l'Etranger 178 (3):388-390.
Nonexistent Objects.Terence Parsons - 1980 - Yale University Press.
On what there is.W. V. Quine - 1953 - In Willard Van Orman Quine (ed.), From a Logical Point of View. Cambridge: Harvard University Press. pp. 1-19.

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