x 



26 MATHESIS. 



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 tkese 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 con- 

 cerning 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 commence- 

 ment 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 arith- 

 metical 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 + . Time was only the active series of numbers; 

 motion was the actual arithmetical calculation, namely, 



