When you're average, you're just as close to the bottom as you are the top.

Learning preserves the errors of the past, as well as its wisdom. For this reason, dictionaries are public dangers, although they are necessities.

Mathematics as a science, commenced when first someone, probably a Greek, proved propositions about "any" things or about "some" things, without specifications of definite particular things.

True courage is not the brutal force of vulgar heroes, but the firm resolve of virtue and reason.

The art of progress is to preserve order amid change and to preserve change amid order.

Our reasonings grasp at straws for premises and float on gossamers for deductions.

In formal logic, a contradiction is the signal of defeat, but in the evolution of real knowledge it marks the first step in progress toward a victory.