Memorabilia Mathematica; or, the Philomath's Quotation-Book
Science
Memorabilia Mathematica; or, the Philomath's Quotation-Book
Mathematics; Mathematics -- Quotations, maxims, etc.
=331.= Doubtless the reasoning faculty, the mind, is the leading
and characteristic attribute of the human race. By the exercise
of this, man arrives at the properties of the natural bodies.
This is science, properly and emphatically so called. It is the
science of pure mathematics; and in the high branches of this
science lies the truly sublime of human acquisition. If any
attainment deserves that epithet, it is the knowledge, which,
from the mensuration of the minutest dust of the balance,
proceeds on the rising scale of material bodies, everywhere
weighing, everywhere measuring, everywhere detecting and
explaining the laws of force and motion, penetrating into the
secret principles which hold the universe of God together, and
balancing worlds against worlds, and system against system. When
we seek to accompany those who pursue studies at once so high, so
vast, and so exact; when we arrive at the discoveries of Newton,
which pour in day on the works of God, as if a second _fiat_ had
gone forth from his own mouth; when, further, we attempt to
follow those who set out where Newton paused, making his goal
their starting-place, and, proceeding with demonstration upon
demonstration, and discovery upon discovery, bring new worlds and
new systems of worlds within the limits of the known universe,
failing to learn all only because all is infinite; however we may
say of man, in admiration of his physical structure, that “in
form and moving he is express and admirable,” it is here, and
here without irreverence, we may exclaim, “In apprehension how
like a god!” The study of the pure mathematics will of course not
be extensively pursued in an institution, which, like this
[Boston Mechanics’ Institute], has a direct practical tendency
and aim. But it is still to be remembered, that pure mathematics
lie at the foundation of mechanical philosophy, and that it is
ignorance only which can speak or think of that sublime science
as useless research or barren speculation.--WEBSTER, DANIEL.
_Works (Boston, 1872), Vol. 1, p. 180._
=332.= The school of Plato has advanced the interests of the race
as much through geometry as through philosophy. The modern
engineer, the navigator, the astronomer, built on the truths
which those early Greeks discovered in their purely speculative
investigations. And if the poetry, statesmanship, oratory, and
philosophy of our day owe much to Plato’s divine Dialogues, our
commerce, our manufactures, and our science are equally indebted
to his Conic Sections. Later instances may be abundantly quoted,
to show that the labors of the mathematician have outlasted those
of the statesman, and wrought mightier changes in the condition
of the world. Not that we would rank the geometer above the
patriot, but we claim that he is worthy of equal honor.
--HILL, THOMAS.
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