We understand the proud traits and solitary nature of sages such as Heraclitus. They were able to say proudly of themselves that much had been revealed to them, for they did not attribute their knowledge to their transitory personality, but to the eternal daimon within them. Their pride had as a necessary adjunct the stamp of humility and modesty, expressed in the words, "All knowledge of perishable things is in perpetual flux like the things themselves." Heraclitus calls the eternal universe a play, he could also call it the most serious of realities. But the word "earnest" has lost its force through being applied to earthly experiences. On the other hand, the realisation of "the play of the eternal" leaves man that security in life of which he is deprived by that earnest which has come out of transitory things.
A different conception of the universe from that of Heraclitus grew up, on the basis of the Mysteries, in the community founded by Pythagoras in the 6th century B.C. in Southern Italy. The Pythagoreans saw the basis of things in the numbers and geometrical figures of which they investigated the laws by means of mathematics. Aristotle says of them: "They first studied mathematics, and, quite engrossed in them, they considered the elements of mathematics to be the elements of all things. Now as numbers are naturally the first thing in mathematics, and they thought they saw many resemblances in numbers to things and to development, and certainly more in numbers than in fire, earth, and water, in this way one quality of numbers came to mean for them justice, another, the soul and spirit, another, time, and so on with all the rest. Moreover they found in numbers the qualities and connections of harmony; and thus everything else, in accordance with its whole nature, seemed to be an image of numbers, and numbers seemed to be the first thing in nature."
The mathematical and scientific study of natural phenomena must always lead to a certain Pythagorean habit of thought. When a string of a certain length is struck, a particular sound is produced. If the string is shortened in certain numeric proportions, other sounds will be produced. The pitch of the sounds may be expressed in figures. Physics also expresses colour-relations in figures. When two bodies combine into one substance, it always happens that a certain definite quantity of the one body, expressible in numbers, combines with a certain definite quantity of the other. The Pythagoreans' sense of observation was directed to such arrangements of measures and numbers in nature. Geometrical figures also play a similar rôle. Astronomy, for instance, is mathematics applied to the heavenly bodies. One fact became important to the thought-life of the Pythagoreans. This was that man, quite alone and purely through his mental activity, discovers the laws of numbers and figures, and yet, that when he looks abroad into nature, he finds that things are obeying the same laws which he has ascertained for himself in his own mind. Man forms the idea of an ellipse, and ascertains the laws of ellipses. And the heavenly bodies move according to the laws which he has established. (It is not, of course, a question here of the astronomical views of the Pythagoreans. What may be said about these may equally be said of Copernican views in the connection now being dealt with.) Hence it follows as a direct consequence that the achievements of the human soul are not an activity apart from the rest of the world, but that in those achievements the cosmic laws are expressed. The Pythagoreans said: "The senses show man physical phenomena, but they do not show the harmonious order which these things follow." The human mind must first find that harmonious order within itself, if it wishes to behold it in the outer world. The deeper meaning of the world, that which bears sway within it as an eternal, law-obeying necessity, this makes its appearance in the human soul and becomes a present reality there. THE MEANING OF THE UNIVERSE IS REVEALED in the soul. This meaning is not to be found in what we see, hear, and touch, but in what the soul brings up to the light from its own unseen depths. The eternal laws are thus hidden in the depths of the soul. If we descend there, we shall find the Eternal. God, the eternal harmony of the world, is in the human soul. The soul-element is not limited to the bodily substance which is enclosed within the skin, for what is born in the soul is nothing less than the laws by which worlds revolve in celestial space. The soul is not in the personality. The personality only serves as the organ through which the order which pervades cosmic space may express itself. There is something of the spirit of Pythagoras in what one of the Fathers, Gregory of Nyssa, said: "It is said that human nature is something small and limited, and that God is infinite, and it is asked how the finite can embrace the infinite. But who dares to say that the infinity of the Godhead is limited by the boundary of the flesh, as though by a vessel? For not even during our lifetime is the spiritual nature confined within the boundaries of the flesh. The mass of the body, it is true, is limited by neighbouring parts, but the soul reaches out freely into the whole of creation by the movements of thought."
The soul is not the personality, the soul belongs to infinity. From such a point of view the Pythagoreans must have considered that only fools could imagine the soul-force to be exhausted with the personality.
For them, too, as for Heraclitus, the essential point was the awakening of the eternal in the personal. Knowledge for them meant intercourse with the eternal. The more man brought the eternal element within him into existence, the greater must he necessarily seem to the Pythagoreans. Life in their community consisted in holding intercourse with the eternal. The object of the Pythagorean education was to lead the members of the community to that intercourse. The education was therefore a philosophical initiation, and the Pythagoreans might well say that by their manner of life they were aiming at a goal similar to that of the cults of the Mysteries.