Thoughts on Mathematics and Art.
There is an astonishing imagination
even in the science of mathematics ... We repeat, there is far more imagination
in the head of Archimedes than in that of Homer.
Voltaire
To most outsiders, modern mathematics is unknown territory. Its borders are
protected by dense thickets of technical terms; its landscapes are a mass of
indecipherable equations and incomprehensible concepts. Few realize that the
world of modern mathematics is rich with vivid images and provocative ideas.
Ivars
Peterson
Mighty is geometry; joined with art, resistless.
Euripides
Pure mathematics is, in its way, the poetry of logical ideas.
Albert
Einstein
Geometry is the right foundation of all painting.
Albrecht
Dürer
The mathematical sciences particularly exhibit order, symmetry, and limitation;
and these are the greatest forms of the beautiful.
Aristotle
There is no excellent beauty that has not some strangeness in
the proportion.
Sir Francis
Bacon
Numbers are the free creation of the human mind.
Richard
Dedekind
If a man is at once acquainted with the geometric foundation of things and with
their festal splendor, his poetry is exact and his arithmetic musical.
Ralph Waldo
Emerson
The laws of mathematics are not merely human inventions or creations. They
simply 'are;' they exist quite independently of the human intellect. The most
that any(one) ... can do is to find that they are there and to take cognizance
of them.
Maurits
Cornelis Escher
A mathematician, like a painter or a poet, is a maker of patterns. If his
patterns are more permanent than theirs, it is because they are made with
ideas.
Godfrey Harold
Hardy
One's intellectual and aesthetic life cannot be complete unless it includes an
appreciation of the power and the beauty of mathematics. Simply put, aesthetic
and intellectual fullfillment requires that you know about mathematics.
J. P. King
The mathematician's best work is art, a high perfect art, as daring as the most
secret dreams of imagination, clear and limpid. Mathematical genius and
artistic genius touch one another.
Gosta
Mittag-Leffler
If all art aspires to the condition of music, all the sciences aspire to the
condition of mathematics.
George
Santayana
May not music be described as the mathematics of 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
The object of mathematics is the honor of the human spirit.
Carl Jacobi
It was a sometime paradox, but now time has given it proof.
William
Shakespeare