Propositional Quantification

Russell: The Journal of Bertrand Russell Studies 31 (1) (2011)
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Abstract

Ramsey defined truth in the following way: x is true if and only if ∃p(x = [p] & p). This definition is ill-formed in standard first-order logic, so it is normally interpreted using substitutional or some kind of higher-order quantifier. I argue that these quantifiers fail to provide an adequate reading of the definition, but that, given certain adjustments, standard objectual quantification does provide an adequate reading.

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Ryan Christensen
Brigham Young University

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References found in this work

Truth.Paul Horwich - 1990 - Oxford, GB: Clarendon Press. Edited by Frank Jackson & Michael Smith.
Conceptions of truth.Wolfgang Künne - 2003 - New York: Oxford University Press.
Principia Mathematica.Alfred North Whitehead & Bertrand Russell - 1950 - Cambridge,: Franklin Classics. Edited by Bertrand Russell.
A Prosentential theory of truth.Dorothy L. Grover, Joseph L. Camp & Nuel D. Belnap - 1975 - Philosophical Studies 27 (1):73--125.

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