=1122.= It is as great a mistake to maintain that a high development of the imagination is not essential to progress in mathematical studies as to hold with Ruskin and others that science and poetry are antagonistic pursuits.--HOFFMAN, F. S. _Sphere of Science (London, 1898), p. 107._ =1123.= We have heard much about the poetry of mathematics, but very little of it has as yet been sung. The ancients had a juster notion of their poetic value than we. The most distinct and beautiful statements of any truth must take at last the mathematical form. We might so simplify the rules of moral philosophy, as well as of arithmetic, that one formula would express them both.--THOREAU, H. D. _A Week on the Concord and Merrimac Rivers (Boston, 1893), p. 477._ =1124.= We do not listen with the best regard to the verses of a man who is only a poet, nor to his problems if he is only an algebraist; but if a man is at once acquainted with the geometric foundation of things and with their festal splendor, his poetry is exact and his arithmetic musical.--EMERSON, R. W. _Society and Solitude, Chap. 7, Works and Days._ =1125.= Mathesis and Poetry are ... the utterance of the same power of imagination, only that in the one case it is addressed to the head, and in the other, to the heart.--HILL, THOMAS. _North American Review, Vol. 85, p. 230._ =1126.= The Mathematics are usually considered as being the very antipodes of Poesy. Yet Mathesis and Poesy are of the closest kindred, for they are both works of the imagination. Poesy is a creation, a making, a fiction; and the Mathematics have been called, by an admirer of them, the sublimest and most stupendous of fictions. It is true, they are not only μάθησις, learning, but ποίησις, a creation.--HILL, THOMAS. _North American Review, Vol. 85, p. 229._ =1127.= Music and poesy used to quicken you: The mathematics, and the metaphysics, Fall to them as you find your stomach serves you. No profit grows, where is no pleasure ta’en:-- In brief, sir, study what you most affect. --SHAKESPEARE. _Taming of the Shrew, Act 1, Scene 1._ =1128.= Music has much resemblance to algebra.--NOVALIS. _Schriften, Teil 2 (Berlin, 1901), p. 549._ =1129.= I do present you with a man of mine, Cunning in music and in mathematics, To instruct her fully in those sciences, Whereof, I know, she is not ignorant. --SHAKESPEARE. _Taming of the Shrew, Act 2, Scene 1._