  Here we review a kind of post-World-War-II "Nachtrag" to H. Weyl's
philosophical comments on mathematics and the natural sciences published in the
middle of the 1920s. In a talk given at Z\"urich in the late 1940s, Weyl
discussed F.Gonseth's dialectical epistemology and considered it as being
restricted too strictly to aspects of historical change. His own experiences
with post-Kantian dialectical philosophy, in particular J.G. Fichte's
derivation of the concept of space and matter, had been a stronger dialectical
background for his own 1918 studies in purely infintitesimal geometry and the
early geometrically unified field theory of matter (extending the Mie-Hilbert
program). Although now Weyl distantiated himself from the speculative features
of his youthful philosophizing and in particular from his earlier enthusiasm
for Fichte, he again had deep doubts as to the cultural foundations of modern
mathematical sciences and its role in material culture of high modernity. For
Weyl, philosophical "reflection" was a cultural necessity; he now turned
towards K. Jasper's and M. Heidegger's existentialism to find deeper grounds,
similar to his turn towards Fichte's philosophy after World War I.
