Let him, however, clear his mind of the current admiration for monotheisms, and impress upon himself that he who would form a conception of supreme intelligence must do so under the rules of pure thought, not numerical relation. The logical, not the mathematical, unity of the divine is the perfection of theological reasoning. Logical unity does not demand a determination by contrasts; it conveys only the idea of identity with self. As the logical attainment of truth is the recognition of identities in apparent diversity, thus leading from the logically many to the logically one, the assumption of the latter is eminently justified. Every act of reasoning is an additional proof of it.[188-1] Nor does the duality of nature and thought, to which I have alluded, in any wise contradict this. In pure thought we must understand the dichotomic process to be the distinction of a positive by a privative, both logical elements of the same thought, as I have elsewhere shown. The opposites or contraries referred to as giving rise to the dualistic conceptions of divinity are thus readily harmonized with the conception of logical unity. This was recognized by the Hindoo sage who composed the Bhagavad Gità, early in our era. Krishna, the Holy One, addressing the King Ardjuna says: “All beings fall into error as to the nature of creation, O Bharata, by reason of that delusion of natural opposites which springs from liking and disliking, oh thou tormentor of thy foes!”[189-1] The substitution of the conception of mathematical for logical unity in this connection has left curious traces in both philosophy and religion. It has led to a belief in the triplicate nature of the supreme Being, and to those philosophical triads which have often attracted thinkers, from Pythagoras and Heraclitus down to Hegel and Ghiberti. Pythagoras, who had thought profoundly on numbers and their relations, is credited with the obscure maxim that every thought is made up of a definite one and an indefinite two (a μονας and an αοριστος δυας). Some of his commentators have added to rather than lessened the darkness of this saying. But applied to concrete number, it seems clear enough. Take any number, ten, for example, and it is ten by virtue of being a _one_, one ten, and because on either side counting upward or downward, a different number appears, which two are its logical determinants, but, as not expressed, make up an _indefinite two_.