Zauberberg, 1929: on Infinity and Kants Einbildungskraft

“We reject the thesis of the categorical finiteness of man, both in the atheistic
form of obdurate finiteness which is so alluringly represented today in
Germany by the Freiburg philosopher Heidegger, and in the theistic, specifically
Lutheran-Protestant form, where it serves as a background for the violent
drama of contrition, revelation, and grace. On the contrary, mind is freedom
within the limitations of existence; it is open toward the infinite. Indeed, God
as the completed infinite cannot and will not be comprehended by it; neither
can God penetrate into man by revelation, nor man penetrate to him
by mystical perception. The completed infinite we can only represent in
symbols. From this relationship every creative act of man receives its deep
consecration and dignity. But only in mathematics and physics, as far as I can
see, has symbolical-theoretical construction acquired sufficient solidity to be
convincing for everyone whose mind is open to these sciences”
(from Hermann Weyl, “The Open World”, 1931)

This has to be understood in the spirit of Davos 1929 Conference, see here

Of course Weyl had already given his thoughts on the question, more specifically in here as regards the GrundlagenKrisis of Modern Mathematics.

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