The practical man demands an appearance of reality at least. Always dealing in the concrete, he regards mathematical terms not as symbols or thought but as images of reality. A system acceptable to the mathematician because of its inner consistency… — Tobias Dantzig Copy Share Image
Mathematics is the supreme judge; from its decisions there is no appeal. — Tobias Dantzig Copy Share Image
“The symbol is not a mere formality; it is the very essence of algebra. Without the symbol the object is a human perception and… — Tobias Dantzig Copy Share Image
“The letter is susceptible of operations which enables one to transform literal expressions and thus to paraphrase any statement into a number of equivalent… — Tobias Dantzig Copy Share Image
The harmony of the universe knows only one musical form - the legato; while the symphony of number knows only its opposite - the… — Tobias Dantzig Copy Share Image
The importance of infinite processes for the practical exigencies of technical life can hardly be overemphasized. Practically all applications of arithmetic to geometry, mechanics,… — Tobias Dantzig Copy Share Image
They [the mathematicians of the Enlightenment] defined their terms vaguely and used their methods loosely, and the logic of their arguments was made to… — Tobias Dantzig Copy Share Image
The practical man demands an appearance of reality at least. Always dealing in the concrete, he regards mathematical terms not as symbols or thought… — Tobias Dantzig Copy Share Image
And so matching by itself is incapable of creating an art of reckoning. Without our ability to arrange things in ordered succession little progress… — Tobias Dantzig Copy Share Image
Are not most professional mathematicians spared all trouble incident to income? — Tobias Dantzig Copy Share Image
“In the history of culture the discovery of zero will always stand out as one of the greatest single achievements of the human race.” — Tobias Dantzig Copy Share Image
![“They [the mathematicians of the Enlightenment] defined their terms vaguely and used their methods loosely, and the logic of their arguments was made to fit the dictates of their intuition. In short, they broke all the laws of rigor and of mathematical decorum. The veritable orgy which followed the…” quote by Tobias Dantzig](https://sms4smile.com/quotes/img-quotes/34e/tobias-dantzig-42181_argument_they-the-mathematicians-of-the-enlighten_1505184.jpg)
