...There is no study in the world which brings into more harmonious action all the faculties of the mind than [mathematics], ...… — James Joseph Sylvester Copy Share Image
Number, place, and combination . . . the three intersecting but distinct spheres of thought to which all mathematical ideas admit of being referred. — James Joseph Sylvester Copy Share Image
The world of ideas which it [mathematics] discloses or illuminates, the contemplation of divine beauty and order which it induces, the harmonious… — James Joseph Sylvester Copy Share Image
The theory of ramification is one of pure colligation, for it takes no account of magnitude or position; geometrical lines are used,… — James Joseph Sylvester Copy Share Image
So long as a man remains a gregarious and sociable being, he cannot cut himself off from the gratification of the instinct… — James Joseph Sylvester Copy Share Image
A mathematical idea should not be petrified in a formalised axiomatic setting, but should be considered instead as flowing as a river. — James Joseph Sylvester Copy Share Image
If I were asked to name, in one word, the pole star round which the mathematical firmament revolves, the central idea which… — James Joseph Sylvester Copy Share Image
Time was when all the parts of the subject were dissevered, when algebra, geometry, and arithmetic either lived apart or kept up… — James Joseph Sylvester Copy Share Image
I know, indeed, and can conceive of no pursuit so antagonistic to the cultivation of the oratorical faculty ... as the study… — James Joseph Sylvester Copy Share Image
It seems to be expected of every pilgrim up the slopes of the mathematical Parnassus, that he will at some point or… — James Joseph Sylvester Copy Share Image
...There is no study in the world which brings into more harmonious action all the faculties of the mind than [mathematics], ... or, like… — James Joseph Sylvester Copy Share Image
Number, place, and combination . . . the three intersecting but distinct spheres of thought to which all mathematical ideas admit of being referred. — James Joseph Sylvester Copy Share Image
The world of ideas which it [mathematics] discloses or illuminates, the contemplation of divine beauty and order which it induces, the harmonious connexion of… — James Joseph Sylvester Copy Share Image
The object of pure physics is the unfolding of the laws of the intelligible world; the object of pure mathematics that of unfolding the… — James Joseph Sylvester Copy Share Image
As the prerogative of Natural Science is to cultivate a taste for observation, so that of Mathematics is, almost from the starting point, to… — James Joseph Sylvester Copy Share Image
[Mathematics] unceasingly calls forth the faculties of observation and comparison; one of its principal weapons is induction: it has frequent recourse to trial and… — James Joseph Sylvester Copy Share Image
Aspiring to these wide generalizations, the analysis of quadratic functions soars to a pitch from whence it may look proudly down on the feeble… — James Joseph Sylvester Copy Share Image
“Mathematics is not a book confined within a cover and bound between brazen clasps, whose contents it need only patience to ransack; it is… — James Joseph Sylvester Copy Share Image
The object of pure Physic[s] is the unfolding of the laws of the intelligible world; the object of pure Mathematic[s] that of unfolding the… — James Joseph Sylvester Copy Share Image
Chemistry has the same quickening and suggestive influence upon the algebraist as a visit to the Royal Academy, or the old masters may be… — James Joseph Sylvester Copy Share Image
The theory of ramification is one of pure colligation, for it takes no account of magnitude or position; geometrical lines are used, but these… — James Joseph Sylvester Copy Share Image
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![“[Mathematics] unceasingly calls forth the faculties of observation and comparison;…” quote by James Joseph Sylvester](https://sms4smile.com/quotes/img-quotes/301/james-joseph-sylvester-23602_boundless_mathematics-unceasingly-calls-forth-the_447035.jpg)
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