The Ionian philosophers had speculated on the physical constitution of the universe, the Pythagoreans on the mystical properties of numbers; Heraclitus had propounded his philosophy of fire, Democritus and Leucippus had struck out a rude form of the atomic theory, Socrates had raised questions relating to man, Plato had discussed them with all the freedom of the dialogue, while Aristotle had systematically worked them out.