History and Philosophy of Logic 15 (1):33-44 (1994)

In 1905, Richard discovered his paradox of definability, and in a letter written that year he presented both the paradox and a solution to it.Soon afterwards, Poincaré endorsed a variant of Richard?s solution.In this paper, I critically examine Richard?s and Poincaré?s ways out.I draw on an objection of Peano?s, and argue that their stated solutions do not work.But I also claim that their writings suggest another way out, different from their stated solutions, and different from the orthodox Tarskian approach.I argue that this second solution does not prevent the return of the paradox
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DOI 10.1080/01445349408837223
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References found in this work BETA

The Diagonal Argument and the Liar.Keith Simmons - 1990 - Journal of Philosophical Logic 19 (3):277 - 303.
Les Principes des mathématiques et le problème des ensembles.Jules Richard - 1905 - Revue Générale des Sciences Pures Et Appliquées 12 (16):541-543.
Logique.H. Poincaré - 1906 - Revue de Métaphysique et de Morale 14:294-317.
Infini.H. Poincaré - 1909 - Revue de Métaphysique et de Morale 17:461-482.

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Citations of this work BETA

Paradoxes of Denotation.Keith Simmons - 1994 - Philosophical Studies 76 (1):71 - 106.
Rescuing Poincaré From Richard’s Paradox.Laureano Luna - 2017 - History and Philosophy of Logic 38 (1):57-71.
Falling In and Out of Love with Philosophy.John Forrester - 2012 - Metaphilosophy 43 (1-2):96-111.
Hobson’s Conception of Definable Numbers.Zhao Fan - 2020 - History and Philosophy of Logic 41 (2):128-139.

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