David Hilbert Quote

Living mathematics rests on the fluctuation between the antithesis powers of intuition and logic, the individuality of "grounded" problems and the generality of far-reaching abstractions. We ourselves must prevent the development being forced to only one pole of the life-giving antithesis.


Hilbert — Courant, Hilbert, Chapter XXV (p. 220)


Living mathematics rests on the fluctuation between the antithesis powers of intuition and logic, the individuality of grounded problems and the...

Living mathematics rests on the fluctuation between the antithesis powers of intuition and logic, the individuality of grounded problems and the...

Living mathematics rests on the fluctuation between the antithesis powers of intuition and logic, the individuality of grounded problems and the...

Living mathematics rests on the fluctuation between the antithesis powers of intuition and logic, the individuality of grounded problems and the...