James Joseph Sylvester

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James Joseph Sylvester

James Joseph Sylvester

The object of pure physics is the unfolding of the laws of the intelligible world the object of pure mathematics that of unfolding the laws of human intelligence.More James Joseph Sylvester [03/12/2018 02:03:32]
... it is certain that the real function of art is to increase our self-consciousness; to make us more aware of what we are, and therefore of what the universe in which we live really is. And since mathematics, in its own way, also performs this function, it is not only aesthetically charming but profoundly significant. It is an art, and a great art.More James Joseph Sylvester [03/29/2018 05:03:36]
Mathematics is the music of reason.More James Joseph Sylvester [03/29/2018 05:03:36]
It seems to be expected of every pilgrim up the slopes of the mathematical Parnassus, that he will at some point or other of his journey sit down and invent a definite integral or two towards the increase of the common stock.More James Joseph Sylvester [03/29/2018 05:03:36]
I know, indeed, and can conceive of no pursuit so antagonistic to the cultivation of the oratorical faculty ... as the study of Mathematics. An eloquent mathematician must, from the nature of things, ever remain as rare a phenomenon as a talking fish, and it is certain that the more anyone gives himself up to the study of oratorical effect the less will he find himself in a fit state to mathematicize.More James Joseph Sylvester [03/29/2018 05:03:36]
...There is no study in the world which brings into more harmonious action all the faculties of the mind than [mathematics], ... or, like this, seems to raise them, by successive steps of initiation, to higher and higher states of conscious intellectual being....More James Joseph Sylvester [03/29/2018 05:03:36]
The world of ideas which it [mathematics] discloses or illuminates, the contemplation of divine beauty and order which it induces, the harmonious connexion of its parts, the infinite hierarchy and absolute evidence of the truths with which it is concerned, these, and such like, are the surest grounds of the title of mathematics to human regard, and would remain unimpeached and unimpaired were the plan of the universe unrolled like a map at our feet, and the mind of man qualified to take in the whole scheme of creation More James Joseph Sylvester [03/29/2018 05:03:36]
What a glorious title, Nature, a veritable stroke of genius to have hit upon. It is more than a cosmos, more than a universe. It includes the seen as well as the unseen, the possible as well as the actual, Nature and Nature's God, mind and matter. I am lost in admiration of the effulgent blaze of ideas it calls forth.More James Joseph Sylvester [03/29/2018 05:03:36]
Chemistry has the same quickening and suggestive influence upon the algebraist as a visit to the Royal Academy, or the old masters may be supposed to have on a Browning or a Tennyson. Indeed it seems to me that an exact homology exists between painting and poetry on the one hand and modem chemistry and modem algebra on the other. In poetry and algebra we have the pure idea elaborated and expressed through the vehicle of language, in painting and chemistry the idea enveloped in matter, depending in part on manual procesMore James Joseph Sylvester [03/29/2018 05:03:36]
The theory of ramification is one of pure colligation, for it takes no account of magnitude or position; geometrical lines are used, but these have no more real bearing on the matter than those employed in genealogical tables have in explaining the laws of procreation.More James Joseph Sylvester [03/29/2018 05:03:36]
May not music be described as the mathematics of the sense, mathematics as music of the reason? The musician feels mathematics, the mathematician thinks music: music the dream, mathematics the working life.More James Joseph Sylvester [03/29/2018 05:03:36]
So long as a man remains a gregarious and sociable being, he cannot cut himself off from the gratification of the instinct of imparting what he is learning, of propagating through others the ideas and impressions seething in his own brain, without stunting and atrophying his moral nature and drying up the surest sources of his future intellectual replenishment.More James Joseph Sylvester [03/29/2018 05:03:36]
Surely with as good reason as had Archimedes to have the cylinder, cone and sphere engraved on his tombstone might our distinguished countrymen leave testamentary directions for the cubic eikosiheptagram to be engraved on theirs. Spirit of the Universe! wither are we drifting, and when, where, and how is all this to end?More James Joseph Sylvester [03/29/2018 05:03:36]
Aspiring to these wide generalizations, the analysis of quadratic functions soars to a pitch from whence it may look proudly down on the feeble and vain attempts of geometry proper to rise to its level or to emulate it in its flights.More James Joseph Sylvester [03/29/2018 05:03:36]
The mathematician lives long and lives young; the wings of his soul do not early drop off, nor do its pores become clogged with the earthy particles blown from the dusty highways of vulgar life.More James Joseph Sylvester [03/29/2018 05:03:36]
A mathematical idea should not be petrified in a formalised axiomatic setting, but should be considered instead as flowing as a river.More James Joseph Sylvester [03/29/2018 05:03:36]
[Mathematics] unceasingly calls forth the faculties of observation and comparison; one of its principal weapons is induction: it has frequent recourse to trial and verification; and it affords a boundless scope for the exercise of the highest efforts of imagination and invention.More James Joseph Sylvester [03/29/2018 05:03:36]
If I were asked to name, in one word, the pole star round which the mathematical firmament revolves, the central idea which pervades the whole corpus of mathematical doctrine, I should point to Continuity as contained in our notions of space, and say, it is this, it is this!More James Joseph Sylvester [03/29/2018 05:03:36]
The object of pure physics is the unfolding of the laws of the intelligible world; the object of pure mathematics that of unfolding the laws of human intelligence.More James Joseph Sylvester [03/29/2018 05:03:36]
The early study of Euclid made me a hater of geometry.More James Joseph Sylvester [03/29/2018 05:03:36]

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