Identification et tautologie: l'identité chez Husserl et Wittgenstein

Revue Philosophique De Louvain 101 (4):593-609 (2003)
Abstract
Une question commune à la sixième Recherche logique de Husserl et au Tractatus de Wittgenstein est la question du statut des équations mathématiques, et plus largement des jugements d’identité. Elle est de savoir si le mathématicien énonce des propositions, pourvues comme telles d’un caractère de vérité possible, ou au contraire de simples règles de substitution destinées au calcul. Telle que l’a formulée Frege, cette question peut se résumer ainsi: existe-t- il une connaissance mathématique? Sur ce point, la position de Husserl peut être interprétée comme un moyen terme entre celle de Kant et celle de Wittgenstein. A question common to the sixth Logical Research of Husserl and to Wittgenstein’s Tractatus is the question of the status of mathematical equations, and more broadly of judgements of identity. It is that of whether the mathematician expresses propositions, which as such bear a character of possible truth, or, on the contrary, simple rules of substitution useful for calculations. As formulated by Frege, this question can be summarized as follows: does mathematical knowledge exist? In reply to this question Husserl’s position may be interpreted as being midway between that of Kant and that of Wittgenstein. (Transl. by J. Dudley).
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