Character Quotes - page 95
But if we discard this definition of a people, and, assuming another, say that a people is an assemblage of reasonable beings bound together by a common agreement as to the objects of their love, then, in order to discover the character of any people, we have only to observe what they love. Yet whatever it loves, if only it is an assemblage of reasonable beings and not of beasts, and is bound together by an agreement as to the objects of love, it is reasonably called a people; and it will be a superior people in proportion as it is bound together by higher interests, inferior in proportion as it is bound together by lower.
Augustine of Hippo
Mathematics have a triple aim. They must furnish an instrument for the study of nature. But that is not all: they have a philosophic aim and, I dare maintain, an esthetic aim. They must aid the philosopher to fathom the notions of number, of space, of time. And above all, their adepts find therein delights analogous to those given by painting and music. They admire the delicate harmony of numbers and forms; they marvel when a new discovery opens to them an unexpected perspective; and has not the joy they thus feel the esthetic character, even though the senses take no part therein? Only a privileged few are called to enjoy it fully, it is true, but is not this the case for all the noblest arts?
This is why I do not hesitate to say that mathematics deserve to be cultivated for their own sake, and the theories inapplicable to physics as well as the others. Even if the physical aim and the esthetic aim were not united, we ought not to sacrifice either.
Henri Poincaré