Difficultés logiques et problèmes philosophiques dans les Principia Mathematica de Russell

The author shows that the difficulties of a purely logical nature which follow from the « ramified » version of the theory of types, set out by Russell in Principia Mathematica, (difficulties relating in particular to the axiom of infinity and the axiom of reductibility) can in no circumstances be dissociated from their philosophical consequences. Involving at one and the same time the ontological statute of classes, the principle of indiscernables and the very notion of meaning, these consequences are examined from the angle of Quine's objections and bearing in mind the distinction between « expression » and « indication ». Russell himself introduced in 1940 in An Inquiry into Meaning and Truth

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• An inquiry into meaning and truth

  Bertrand Russell•An inquiry into meaning and truth•1940

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