Chester Martin (512) 923-1137

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.

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.

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.    

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

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