Mathematics, in its widest significance, is the development of all types of formal, necessary, deductive reasoning.
Alfred North WhiteheadIn England if something goes wrong--say, if one finds a skunk in the garden--he writes to the family solicitor, who proceeds to take the proper measures; whereas in America, you telephone the fire department. Each satisfies a characteristic need; in the English, love of order and legalistic procedure; and here in America, what you like is something vivid, and red, and swift.
Alfred North WhiteheadOrder is not sufficient. What is required, is something much more complex. It is order entering upon novelty; so that the massiveness of order does not degenerate into mere repetition; and so that the novelty is always reflected upon a background of system.
Alfred North Whitehead