Husserl and Cantor

Claire Ortiz Hill

pp. 169-196

in: Stefania Centrone (ed), Essays on Husserl's logic and philosophy of mathematics, Berlin, Springer, 2017

Abstract

Husserl and Cantor were colleagues and close friends during the last 14 years of the nineteenth century, when Cantor was at the height of his creative powers and Husserl in the throes of an intellectual struggle during which he drew apart from people and writings to whom he owed most of his intellectual training and drew closer to the ideas of thinkers whose writings he had not been able to evaluate properly and had consulted too little. I study ways in which Husserl and Cantor might be said to have been alike, while pointing to dissimilarities between them. In particular, I discuss how their ideas overlapped and crisscrossed with regard to mathematics and philosophy, Platonic idealism, abstraction, empiricism, psychologism, actual consciousness and pure logic, Frege's reviews of their works, metaphysics and mysticism, sets, arithmetization, strange and imaginary numbers and manifolds. I conclude that Cantor was among those of his mentors from whose ideas Husserl drew away and Lotze and Bolzano were among those to whose ideas he drew closer.

Cited authors

Husserl Edmund

Frege Gottlob

Plato

Cantor Georg