97 Quotes About Axioms

Obviously, not everything can be proved, just as not everything can be defined. If every proposition had to be proved, there would be no beginning to any proof. Such things as axioms and assumptions or postulates are needed for the proof of other propositions. If these other propositons are proved, they can, of course, be used as premises in further proofs. (P. 131)

a person so often accused cannot be entirely innocent

Paradoxes are less paradoxical in their reference to truth than most of the most plausible axioms.

He's been spoiled 'til salt won't save him.

Things happen when they should, not when they can.

AXIOM. — Property is the Right of Increase claimed by the Proprietor over any thing which he has stamped as his own.

Whatever is referred to must exist. Let us call this the axiom of existence.