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James Joseph Sylvester Quotes

Number, place, and combination . . . the three intersecting but distinct spheres of thought to which all mathematical ideas admit of being referred Picture Quote #1

A mathematical idea should not be petrified in a formalised axiomatic setting, but should be considered instead as flowing as a river Picture Quote #1

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 Picture Quote #1

May not music be described as the mathematics of the sense, mathematics as music of the reason? Picture Quote #1

Time was when all the parts of the subject were dissevered, when algebra, geometry, and arithmetic either lived apart or kept up cold relations of acquaintance confined to occasional calls upon one another; but that is now at an end; they are drawn together and are constantly becoming more and more intimately related and connected by a thousand fresh ties, and we may confidently look forward to a time when they shall form but one body with one soul Picture Quote #1

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 Picture Quote #1

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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 Picture Quote #1

Number, place, and combination... the three intersecting but distinct spheres of thought to which all mathematical ideas admit of being referred Picture Quote #1

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 Picture Quote #1

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 Picture Quote #1

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 Picture Quote #1

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Number, place, and combination . . . the three intersecting but distinct spheres of thought to which all mathematical ideas admit of being referred. (James Joseph Sylvester Quotes) 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 Quotes) 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 Quotes) May not music be described as the mathematics of the sense, mathematics as music of the reason? (James Joseph Sylvester Quotes) Time was when all the parts of the subject were dissevered, when algebra, geometry, and arithmetic either lived apart or kept up cold relations of acquaintance confined to occasional calls upon one another; but that is now at an end; they are drawn together and are constantly becoming more and more intimately related and connected by a thousand fresh ties, and we may confidently look forward to a time when they shall form but one body with one soul (James Joseph Sylvester Quotes) 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 Quotes) 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 Quotes) Number, place, and combination... the three intersecting but distinct spheres of thought to which all mathematical ideas admit of being referred (James Joseph Sylvester Quotes) 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 Quotes) 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 Quotes) 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 Quotes)