The finest product of mathematical genius and one of the supreme achievements of purely intellectual human activity.
TOPICS: Cantor, genius, infinity, set theory
Hilbert was referring specifically to Cantor’s set theory, which for the first time allowed a mathematically rigorous definition of infinity.
The mathematician’s best work is art, a high perfect art, as daring as the most secret dreams of imagination, clear and limpid. Mathematical genius and artistic genius touch one another.
TOPICS: genius, art