KANT'S PHILOSOPHY OF MATHEMATICS IN THE (NEW) COURT OF REASON: SOME REMARKS OF THE ANTI-INTUITIONISM IN THE NINETEENTH CENTURY AND ONE NEO-KANTIAN VARIANT

In this paper it will be exposed and discussed some remarks on the emergence of the logicist project and, in the end, it will be pointed out one variant of it in the Neo-Kantian Ernst Cassirer in his philosophy of mathematics. In order to fulfill such task, the argumentation will be as follows: firstly, it will be taking into account the starting point of the debate: the rejection of Kant by philosophers and mathematicians already in the first years of the nineteenth century. That done, it will be discussed which is the point to be overcome by this tradition and two results that emerged of this reaction to Kant. In the third moment it will be treated briefly three fundamental authors concerning the logicist program (Frege, Russell and Dedekind). In the final moment of the text, it will be said something about the importance of this last author in the context of Ernst Cassirer's early epistemology.