Between the spontaneous flight of the soul with spreading wings, going from finite facts to infinite, and the highest mathematics, which have existed for about two hundred years only, the analogy is complete; the learned demonstrations of the existence of God given by all true philosophers are results which correspond with those obtained by the ordinary methods used by all men. Thus the identity of the fundamental process of a reasonable life with that of the geometrical process, which both demonstrate the existence of God, is established. The metaphysical certainty of the first process equals the geometrical certainty of the second. For this reason Leibnitz could say, “There are geometry, metaphysics, harmony, and morality everywhere.” I have well said that the human Ego used science and philosophy, before the appearance of philosophers, to attest that the true path leading to God is that natural movement of the soul described by the Hindoo poets--during a time of great ignorance--in the Vedic hymns. This movement is the universal act of prayer. For the philosopher, the proof of the existence of God may appear to rest on a syllogism; for the historian it rests on the complete evolution of the human mind. Is it necessary still to ask how the idea of a super-sensible principle penetrated into the human mind, and how it is diffused over the world? The reply to this question is in the Veda, where the hymns show methodically, under an apparent confusion, what we have been able to glean here and there from the mouth of sages of all times. This idea revealed itself to man at first in external nature; then man discovered it in his own personal and phenomenal self, the abridgment of humanity in its entirety with its living and its dead. “At last the consciousness of self arose from out the clouds of psychological mythology, and became the consciousness of the Infinite or the Divine within us. The individual self found itself again in the Divine Self. Socrates knew it, but he called it _Daimonion_, the indwelling God. The early Christian philosophers called it the _Holy Ghost_, a name which received many interpretations and misinterpretations in different schools of theology, but which ought to become again what it was meant for in the beginning, the spirit which unites all that is holy within man, with the Holy of Holies, or the Infinite.”[126] This may be called natural religion, since it was revealed by nature, and the truth of this revelation is demonstrated mathematically. All that I have just said has been epitomised in a few lines by a thinker of our century, Bordas-Desmoulins: “Without mathematics it would be impossible to penetrate to the depths of philosophy; without philosophy it would be impossible to arrive at the foundations of mathematics; without the two we could penetrate nothing.”