A Quote by Bertrand Russell
The pure mathematician, like the musician, is a free creator of his world of ordered beauty.
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I didn't want to become a pure mathematician, as a matter of fact, my uncle was one, so I knew what the pure mathematician was and I did not want to be a pure - I wanted to do something different.
How do I pray? I study a rose, I count the stars, I marvel at the beauty of creation and how perfectly ordered it is, at man, the most beautiful work of the Creator, his brain thirsting for knowledge, his heart for love, and his senses, all his senses alert or gratified.
The unceasing activity of the Creator whereby, in overflowing bounty and goodwill, He upholds His creatures in ordered existence, guides and governs all events, circumstances, and free acts of angels and men, and directs everything to its appointed goal, for His own glory.
The constructs of the mathematical mind are at the same time free and necessary. The individual mathematician feels free to define his notions and set up his axioms as he pleases. But the question is will he get his fellow mathematician interested in the constructs of his imagination. We cannot help the feeling that certain mathematical structures which have evolved through the combined efforts of the mathematical community bear the stamp of a necessity not affected by the accidents of their historical birth.
I think you can fan the flames, but I think in the same way that a mathematician is a mathematician - He's not taught to be a mathematician. He either has a feeling for equations and an understanding and delight in it, not only in the purity of it, but in its beauty as well.
There's not a single country that actually approaches economics in a pure, free market, capitalist way. I like the free market - but it very much exists only in textbooks. If I had a choice, and we could live in a very pure world, I would be a supporter of the free markets.
What doubt can you have of the Creator when you behold His creation?... Who has decked the heavenly firmament with its stars? Who has clothed the earth in its beauty? How could it be without the creator?
The concept of an independent system is a pure creation of the imagination. For no material system is or can ever be perfectly isolated from the rest of the world. Nevertheless it completes the mathematician's "blank form of a universe" without which his investigations are impossible. It enables him to introduce into his geometrical space, not only masses and configurations, but also physical structure and chemical composition. Just as Newton first conclusively showed that this is a world of masses, so Willard Gibbs first revealed it as a world of systems.
What is an artistic picture? An artistic picture is very simple. The creator is not the producer. The creator is not the star. The creator is the director, the person who realizes the picture, like a poet, like an artist. The creator of the picture is free to do whatever he wants, how he wants to do it. That is an artistic picture.
Next to the love between man and his Creator,
The love of one man and one woman,
Is the loftiest and the most illusive ideal,
That has been set before the world.
A perfect marriage is like a pure heart:
Those who have it are fit to see God.
From the intrinsic evidence of his creation, the Great Architect of the Universe now begins to appear as a pure mathematician.
Ordered by subject, by importance, ordered according to whether the book was penned by God or by one of God's creatures, ordered alphabetically or by numbers or by the language in which the text is written, every library translates the chaos of discovery and creation into a structured system of hierarchies or a rampage of free associations.
It is a pleasant surprise to him (the pure mathematician) and an added problem if he finds that the arts can use his calculations, or that the senses can verify them, much as if a composer found that sailors could heave better when singing his songs.
The mathematician's patterns, like the painter's or the poet's must be beautiful; the ideas, like the colours or the words must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly mathematics.
All things are ordered by God, but His providence takes in our free agency, as well as His own sovereignty.
It is a curious thing: man, the centre and creator of all science, is the only object which our science has not yet succeeded in including in a homogeneous representation of the universe. We know the history of his bones, but no ordered place has yet been found in nature for his reflective intelligence.
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