Chester Martin (512) 923-1137

Thoughts on Mathematics and Philosophy.

Then, my noble friend, geometry will draw the soul towards truth, and create the spirit of philosophy, and raise up that which is not unhappily allowed to fall down.

The primary question was not what do we know, but how do we know it.

Today, it is not only that our kings do not know mathematics, but our philosophers do not know mathematics.
                                                                Julius Robert Oppenheimer

Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician.
                                                                Gottlob Frege

A marvelous neutrality have these things Mathematical, and also a strange participation between things supernatural, immortal, intellectual, simple, and indivisible and things natural, mortal, sensible, compounded, and divisible.
                                                                John Dee

Six is a number perfect in itself, and not because God created the world in six days; rather the contrary is true. God created the world in six days because this number is perfect, and it would remain perfect, even if the work of the six days did not exist.
                                                                Saint Augustine of Hippo

All our surest statements about the nature of the world are mathematical statements, yet we do not know what mathematics "is" . . . and so we find that we have adapted a religion strikingly similar to many traditional faiths. Change "mathematics" to "God" and little else might seem to change. The problem of human contact with some spiritual realm, of timelessness, of our inability to capture all with language and symbol - all have their counterparts in the quest for the nature of Platonic mathematics.
                                                                John D. Barrow

Geometry existed before the creation.

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

Geometry is the only science that it hath pleased God hitherto to bestow on mankind.
                                                                Thomas Hobbes

Of all things, good sense is the most fairly distributed: everyone thinks he is so well supplied with it that even those who are the hardest to satisfy in every other respect never desire more of it than they already have.
                                                                Rene Descartes

Perfect numbers like perfect men are very rare.
                                                                Rene Descartes

We cannot take anything for granted, beyond the first mathematical formula.  Question everything else.
                                                                Maria Mitchell

He who can properly define and divide is to be considered a god.

Mathematics is the handwriting on the human consciousness of the very Spirit of Life itself.
                                                                Claude Bragdon

The infinite! No other question has ever moved so profoundly the spirit of man.
                                                                David Hilbert

God ever geometrizes.

God exists since mathematics is consistent, and the devil exists since we cannot prove the consistency.
                                                                Morris Kline

[Mathematics] is an independent world created out of pure intelligence.
                                                                William Wordsworth

What is best in mathematics deserves not merely to be learned as a task but to be assimilated as a part of daily thought, and brought again and again before the mind with ever-renewed encouragement.
                                                               Bertrand Russell

To create a good philosophy you should renounce metaphysics but be a good mathematician.
                                                               Bertrand Russell

It can be shown that a mathematical web of some kind can be woven about any universe containing several objects. The fact that our universe lends itself to mathematical treatment is not a fact of any great philosophical significance.
                                                               Bertrand Russell

From the time of Kepler to that of Newton, and from Newton to Hartley, not only all things in external nature, but the subtlest mysteries of life and organization, and even of the intellect and moral being, were conjured within the magic circle of mathematical formulae.
                                                               Samuel Taylor Coleridge

The surest sign that intelligent life exists elsewhere in the universe is that it has never tried to contact us.
                                                               Bill Watterson

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