Top 25 Quotes by Hermann Weyl of 28 - Page 2

It is impossible to discuss realism in logic without drawing in the empirical sciences... A truly realistic mathematics should be conceived, in line with physics, as a branch of the theoretical construction of the one

It is impossible to discuss realism in logic without drawing in the empirical sciences... A truly realistic mathematics should be conceived, in line with physics, as a branch of the theoretical construction of the one real world and should adopt the same sober and cautious attitude toward hypothetic extensions of its foundation as is exhibited by physics.

Hermann Weyl

Attitude, Real, Drawing

Hermann Weyl, Frank Wilczek (2009). “Philosophy of Mathematics and Natural Science”, p.235, Princeton University Press

One may say that mathematics talks about the things which are of no concern to men. Mathematics has the inhuman quality of starlight - brilliant, sharp but cold ... thus we are clearest where knowledge matters least: in mathematics, especially number theory.

Hermann Weyl

Men, Numbers, Quality

No mathematician of equal stature has risen from our generation... Hilbert was singularly free from national and racial prejudices; in all public questions, be they political, social or spiritual, he stood forever on the side of freedom.

Hermann Weyl

Spiritual, Our Generation, Forever

Hermann Weyl (2013). “Levels of Infinity: Selected Writings on Mathematics and Philosophy”, p.93, Courier Corporation