99. The other things _below_ man are also ideas of God, but none of these ideas is the whole representation of arithmetic. They are only parts of the divine conscience posited in time; but man is God, planted or posited uninjured in time. Man is the object in the self-consciousness of God; the creatures below man are, however, the objects only of the _consciousness_ of God. Thus, if God places before and from himself only single qualities, there are worldly things; if, however, God in this crowd of representations attains to his own entire representation, then arises Man. God is = + 0-, Man = + [oo] 0-[oo], the animal is = + n 0-n. The animals are only represented in part. The subject of self-consciousness is = + 0-; the objects, however, are the numbers which are equivalent to this, being = [oo] + 3 + 2 + 1 + 0-1-2-3-[oo]. Thus if all numbers, all world-elements, together with their perfections, occur in consciousness = + 0-, there is a Man; if only single, and perhaps but few things, such as food, stones, &c. (with the entire exception of the celestial bodies), enter consciousness, there is an animal. They are represented only partly or in a portion of the universe, but man is represented wholly or in all its parts. Animals are fragments of man. 100. No creatures _below_ Man can possess self-consciousness. They have, indeed, consciousness of their several acts and of their sensations, and possess memory; but as these several acts are only parts of the world, or of the great consciousness, and are not the Whole, they can never become objective unto themselves, never imagine. Animals are men, who never imagine. They are imaginative, but never of themselves wholly; they are therefore beings who never attain to consciousness concerning themselves. They are single accounts; Man is the whole of mathematics. FREEDOM. 101. An action, which is not determined by some other action, is free. God is free, because apart from him there is none other action. 102. Man, as being an image of God, is likewise free; as being an image of the world he is devoid of freedom. Man is, therefore, in his primary commencement or principle free, but not in his end or object to be attained. In the resolution Man is free, in the execution he is not free. The mathematician can select at pleasure any proposition; but having selected it, must solve it in accordance with necessary laws and with definite numbers and figures. Man is a twofold being, compounded of freedom and necessity. RETROSPECT. 103. Hitherto we have considered simply the arithmetical relations of the primary act and of the universe. We have shown, to wit, that all ideas fluctuate simply under the forms of numbers; that everything was comprised in the 0 +-. Time was only the active series of numbers; motion was the actual arithmetical calculation, namely, the process of reducing numbers to absolute identity, to zero.