(source) 
Julian Lowell Coolidge
(28 Sep 1873  5 Mar 1954)

Science Quotes by Julian Lowell Coolidge (4 quotes)
But in the present century, thanks in good part to the influence of Hilbert, we have come to see that the unproved postulates with which we start are purely arbitrary. They must be consistent, they had better lead to something interesting.
— Julian Lowell Coolidge
Every writer must reconcile, as best he may, the conflicting claims of consistency and variety, of rigour in detail and elegance in the whole. The present author humbly confesses that, to him, geometry is nothing at all, if not a branch of art.
— Julian Lowell Coolidge
The average gambler will say “The player who stakes his whole fortune on a single play is a fool, and the science of mathematics can not prove him to be otherwise.” The reply is obvious: “The science of mathematics never attempts the impossible, it merely shows that other players are greater fools.”
— Julian Lowell Coolidge
[Before the time of Benjamin Peirce it never occurred to anyone that mathematical research] was one of the things for which a mathematical department existed. Today it is a commonplace in all the leading universities. Peirce stood alone—a mountain peak whose absolute height might be hard to measure, but which towered above all the surrounding country.
— Julian Lowell Coolidge
See also:
 28 Sep  short biography, births, deaths and events on date of Coolidge's birth.
 The Mathematics of Great Amateurs, by Julian Lowell Coolidge.  book suggestion.