However unapproachable these problems may seem to us and however helpless we stand before them, we have, nevertheless, the firm conviction that their solution must follow by a finite number of purely logical processes.
David Hilbert[On Cantor's work:] The finest product of mathematical genius and one of the supreme achievements of purely intellectual human activity.
David HilbertThe further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.
David Hilbert