Mathematical proofs, like diamonds, are hard and clear, and will be touched with nothing but strict reasoning.
John LockeThe acts of the mind, wherein it exerts its power over simple ideas, are chiefly these three: 1. Combining several simple ideas into one compound one, and thus all complex ideas are made. 2. The second is bringing two ideas, whether simple or complex, together, and setting them by one another so as to take a view of them at once, without uniting them into one, by which it gets all its ideas of relations. 3. The third is separating them from all other ideas that accompany them in their real existence: this is called abstraction, and thus all its general ideas are made.
John LockeHabits wear more constantly and with greatest force than reason, which, when we have most need of it, is seldom fairly consulted, and more rarely obeyed
John LockeIf to break loose from the bounds of reason, and to want that restraint of examination and judgment which keeps us from choosing or doing the worst, be liberty, true liberty, madmen and fools are the only freemen: but yet, I think, nobody would choose to be mad for the sake of such liberty, but he that is mad already.
John Locke