20+ James Joseph Sylvester Quotes On James Sylvester, Education

James Joseph Sylvester was an English mathematician who made fundamental contributions to matrix theory, invariant theory, number theory, partition theory and combinatorics. He was the first to use the term "matrix" and he also introduced the Kronecker delta and the notion of graph. He is also known for Sylvester's Law of Inertia, which states that the algebraic multiplicity of an eigenvalue is always less than or equal to its geometric multiplicity. Following is our collection on famous quotes by James Joseph Sylvester on james sylvester, leadership, life.

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. — James Joseph Sylvester

Mathematics is the music of reason. — James Joseph Sylvester

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. — James Joseph Sylvester

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! — James Joseph Sylvester

The early study of Euclid made me a hater of geometry. — James Joseph Sylvester

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. — James Joseph Sylvester

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. — James Joseph Sylvester

As the prerogative of Natural Science is to cultivate a taste for observation, so that of Mathematics is, almost from the starting point, to stimulate the faculty of invention. — James Joseph Sylvester

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. — James Joseph Sylvester

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. — James Joseph Sylvester

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. — James Joseph Sylvester

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? — James Joseph Sylvester

[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. — 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. — James Joseph Sylvester

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. — James Joseph Sylvester

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. — James Joseph Sylvester

Mathematics is not a book confined within a cover and bound between brazen clasps, whose contents it needs only patience to ransack; it is not a mine, whose treasures may take long to reduce into possession, but which fill only a limited number of veins and lodes; it is not a soil, whose fertility can be exhausted by the yield of successive harvests; it is not a continent or an ocean, whose area can be mapped out and its contour defined: it is limitless as that space which it finds too narrow for its aspirations; its possibilities are as infinite as the worlds which are forever crowding in and multiplying upon the astronomer's gaze. — James Joseph Sylvester

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

The object of pure Mathematic (is) that of unfolding the laws of human intelligence. — James Joseph Sylvester

Number, place, and combination . . . the three intersecting but distinct spheres of thought to which all mathematical ideas admit of being referred. — James Joseph Sylvester

Life Lessons by James Joseph Sylvester

1. James Joseph Sylvester's work demonstrates the importance of perseverance and dedication, as he made significant contributions to mathematics despite facing numerous obstacles throughout his career.
2. Sylvester's work also highlights the power of collaboration and the potential of interdisciplinary research, as he often worked with other mathematicians to develop new theories.
3. Finally, Sylvester's work shows how mathematical principles can be applied to a variety of fields, as he made important contributions to algebra, geometry, and even biology.