Tobias Dantzig Quotes

Mathematics is the supreme judge; from its decisions there is no appeal.

The harmony of the universe knows only one musical form – the legato; while the symphony of number knows only its opposite – the staccato. All attempts to reconcile this discrepancy are based on the hope that an accelerated staccato may appear to our senses as a legato.

The importance of infinite processes for the practical exigencies of technical life can hardly be overemphasized. Practically all applications of arithmetic to geometry, mechanics, physics and even statistics involve these processes directly and indirectly.