“It is clear that the chief end of mathematical study must be to make the students think.”

“I mean that they (students) should not play life, or study it merely, while the community supports them at this expensive game, but earnestly live it from beginning to end. How could youths better learn to live than by at once trying the experiment of living? Methinks this would exercise their minds as much as mathematics.”

“Before one may scare the plain people one must first have a firm understanding of the bugaboos that most facilely alarm them. One must study the schemes that have served to do it in the past, and one must study very carefully the technic of the chief current professionals.”

“I studied mathematics which is the madness of reason.”

“The science of government it is my duty to study, more than all other sciences; the arts of legislation and administration and negotiation ought to take the place of, indeed exclude, in a manner, all other arts. I must study politics and war, that our sons may have liberty to study mathematics and philosophy. Our sons ought to study mathematics and philosophy, geography, natural history and naval architecture, navigation, commerce and agriculture in order to give their children a right to study painting, poetry, music, architecture, statuary, tapestry and porcelain.”

“In order to improve your game, you must study the endgame before everything else, for whereas the endings can be studied and mastered by themselves, the middle game and the opening must be studied in relation to the endgame.”