The impartial reader notices that Frege, in Die Verneinung, treats an opposing conception of negation, but without specifically naming its proponent. In this paper, it is proven for the first time that the view in question is that of his colleague in Jena, Bruno Bauch. Besides their different views, concerning above all the status of false thoughts, there are nonetheless broader points of agreement between the ideas of Bauch and Frege. These points of agreement cast light on both thinkers as (...) representatives of a current of Neo-Kantianism, having its source in Lotze, in which Kantian and Platonic elements are fused to form a ?transcendental Platonism? (shrink)

The meaning and validity of Kant’s Kant’s doctrine of schematism remains contested until today. In neo-Kantianism and post-War transcendental philosophy, Kant’s schematism of the pure concepts of understanding is transformed drastically. Kant’s thesis of heterogeneity is overcome by taking it back into the internal relationships of the structure of cognition. The spontaneity of thought, performing schematizations, is retained, but Kant’s project of conceiving of the foundations of knowledge in the fashion of a theory of apperception of the I as well (...) as the externality of the given and the determination of the given that goes along with it is sublated by an objective order of validity-noematic constitution and regulation. Kant’s doctrine of schematism, then, shows to be methodology. (shrink)

RÉSUMÉ: 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.ABSTRACT: 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. (shrink)