[Mathematics] unceasingly calls forth the faculties of observation and comparison; one of — James Joseph Sylvester
Number, place, and combination . . . the three intersecting but distinct spheres of thought — James Joseph Sylvester
A mathematical idea should not be petrified in a formalised axiomatic setting, — James Joseph Sylvester
The world of ideas which it [mathematics] discloses or illuminates, the contemplation — James Joseph Sylvester
Chemistry has the same quickening and suggestive influence upon the algebraist as — James Joseph Sylvester
Aspiring to these wide generalizations, the analysis of quadratic functions soars to — James Joseph Sylvester
The object of pure physics is the unfolding of the laws of the intelligible world; — James Joseph Sylvester
May not music be described as the mathematics of the sense, mathematics as music of the reason? — James Joseph Sylvester