_The Humanization of the Teaching of Mathematics; Science, New Series, Vol. 35, pp. 645-646._ =273.= Mathematics, like dialectics, is an organ of the inner higher sense; in its execution it is an art like eloquence. Both alike care nothing for the content, to both nothing is of value but the form. It is immaterial to mathematics whether it computes pennies or guineas, to rhetoric whether it defends truth or error.--GOETHE. _Wilhelm Meisters Wanderjahre, Zweites Buch._ =274.= The genuine spirit of Mathesis is devout. No intellectual pursuit more truly leads to profound impressions of the existence and attributes of a Creator, and to a deep sense of our filial relations to him, than the study of these abstract sciences. Who can understand so well how feeble are our conceptions of Almighty Power, as he who has calculated the attraction of the sun and the planets, and weighed in his balance the irresistible force of the lightning? Who can so well understand how confused is our estimate of the Eternal Wisdom, as he who has traced out the secret laws which guide the hosts of heaven, and combine the atoms on earth? Who can so well understand that man is made in the image of his Creator, as he who has sought to frame new laws and conditions to govern imaginary worlds, and found his own thoughts similar to those on which his Creator has acted? --HILL, THOMAS. _The Imagination in Mathematics; North American Review, Vol. 85, p. 226._ =275.= ... what is physical is subject to the laws of mathematics, and what is spiritual to the laws of God, and the laws of mathematics are but the expression of the thoughts of God.--HILL, THOMAS. _The Uses of Mathesis; Bibliotheca Sacra, Vol. 32, p. 523._ =276.= It is in the inner world of pure thought, where all _entia_ dwell, where is every type of order and manner of correlation and variety of relationship, it is in this infinite ensemble of eternal verities whence, if there be one cosmos or many of them, each derives its character and mode of being,--it is there that the spirit of mathesis has its home and its life.