Mathematics Quotation Poll
This is an interesting poll that acknowledges our different views regarding mathematics. Although this is not my original work, I do not know the poll's creator, as it was sent to me via email.
Quotations collected below
all reflect on perception of Mathematics by various people over a few hundred
years history. Proclus (412-485) had this to say:
The Pythagoreans considered all mathematical sciences to be divided into four parts: one half they marked off as concerned with quantity, the other half with magnitude; and each of these they posited as twofold. A quantity can be considered in regard to its character by itself or in its relation to another quantity, magnitudes as either stationary or in motion. Arithmetic, then, studies quantities as such, music the relations between quantities, geometry magnitude at rest, spherics (astronomy, A.B.) magnitude inherently moving.
Obviously, in the 2500 years since Pythagoras when music was still considered a mathematical science, both human perception of and our attitude towards, mathematics underwent a tremendous metamorphosis. Below I list several quotations - definitions of mathematics - but this is not a quotation page per se. Presenting different views with quotations appears to me less personal and more authoritative. Could you please check the boxes against those quotations of which you approve.
math·e·mat·ics n. (used with a sing. verb). The study of the measurement, properties, and relationships of quantities, using numbers and symbols. [From Middle English mathematik, from Old French mathematique, from Latin mathematica, from Greek mathematike (tekhne)]
The
American Heritage Dictionary
math-e-mat-ics n. ... the
science of numbers and their operations, interrelations, combinations,
generalizations, and abstractions and of space configurations and their
structure, measurement, transformations, and generalizations.
Webster's New Collegiate Dictionary
Mathematics is a language.
Gibbs, Josiah Willard. 1839-1903.
American
mathematician and physicist.
To those who do not know Mathematics it is difficult to get across a real
feeling as to the beauty, the deepest beauty of nature. ... If you want to learn
about nature, to appreciate nature, it is necessary to understand the language
that she speaks in.
Richard Feynman. 1918-1988.
American
physicist.
The Character of Physical Law
Mathematics may be defined as the subject in which we never know what we
are talking about, nor whether what we are saying is true.
Bertrand Russell. 1872–1970
British philosopher, mathematician.
Mysticism
and Logic
All science requires Mathematics. The knowledge of mathematical things is
almost innate in us... This is the easiest of sciences, a fact which is obvious
in that no one’s brain rejects it; for laymen and people who are utterly
illiterate know how to count and reckon.
Roger Bacon. 1214-1294
English philosopher, scientist.
Opus Maius
We do not teach arithmetic in Kindergarten.
A knowledge of mathematics is not necessary to a four year old. Any
premature instruction arrests development.
Philosophy of Froebel Kindergarten.
Pictured Knowledge, p899, several editions 1916-1927
Marshall
Hughes Co.
AHD |
Webster |
Gibbs |
Feynman |
Russell |
Bacon |
Froebel |
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