Peut-on fonder l'arithmetique sur la logique pure? La controverse entre Natorp et Rickert

Dialogue 46 (1):43-68 (2007)
Abstract
Dans cet article, j’entreprends de clarifier le projet (frégéen) d’une logique de l’arithmétique -- tel qu’il a été discuté par Natorp et Rickert -- en distinguant trois questions directrices. Le nombre est-il un objet logique? L’arithmétique est-elle réductible à la logique? Est-il possible de déduire les opérations arithmétiques de lois purement logiques? Ma thèse est que la distinction rigoureuse de ces trois questions permet de lever une grande partie des obscurités qui affectent en généralle programme d’une logique de l’arithmétique. La contribution néo-kantienne à ce programme se trouve du même coup éclairée d’une lumière nouvelle.In this article, I try to shed light on the (Fregean) project of a logic of arithmelic-as discussed by Natorp and Rickert-by outlining three main questions. Is the number a logical object? Is arithmetic reducible to logic? Is it possible to deduce the arithmetical operations from purely logical laws? I argue that rigorous distinction between these three questions makes it possible to elucidate many problems affecting the program of a logic of arithmetic. The Neo-Kantian contribution to this program is at the same time considered in a new light
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    B. Bolzano (2001). Wissenschaftslehre. Revue de Metaphysique Et de Morale 2:134-136.
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