Chester Martin (512) 923-1137

Thoughts on Mathematics and The Future.


We have to reinvent the wheel every once in a while, not because we need a lot of wheels; but because we need a lot of inventors.
                                                                          Bruce Joyce

People who don't count won't count.  
                                                                          Anatole France

In a time when much of the world's geography has been explored, and space exploration is restricted to astronauts, mathematics offers fertile ground for exploring the unknown.
                                                                          Walter Meyer

As I considered the matter carefully, it gradually came to light that all those matters only are referred to mathematics in which order and measurements are investigated, and that it makes no difference whether it be in numbers, figures, stars, sounds, or any other object that the question of measurement arises.  I saw, consequently, that there must be some general science toexplain that element as a whole which gives rise to problems about order and measurement. This I perceived was called universal mathematics.  Such a science should contain the primary rudiments of human reason, and its province out to extend to the eliciting of true results in every subject.
                                                                            Rene Descartes

In these days of conflict between ancient and modern studies, there must surely be something to be said for a study which did not begin with Pythagoras and will not end with Einstein, but is the oldest and youngest of all.
                                                                            Godfrey Harold Hardy

I think that modern physics has definitely decided in favor of Plato. In fact the smallest units of matter are not physical objects in the ordinary sense; they are forms, ideas which can be expressed unambiguously only in mathematical
language.
                                                                            Werner Heisenberg

There is no branch of mathematics, however abstract, which may not someday be applied to the phenomena of the real world.
                                                                            Nicolai Lobachevsky

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

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