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- God does not care about our mathematical difficulties. He integrates empirically.
- Albert Einstein (1879 - 1955)
- You can not apply mathematics as long as words still becloud reality.
- Hermann Weyl
- There is an astonishing imagination, even in the science of mathematics... We repeat, there was far more imagination in the head of Archimedes than in that of Homer.
- Voltaire (1694 - 1778)
- The most extensive computation known has been conducted over the last billion years on a planet-wide scale: it is the evolution of life. The power of this computation is illustrated by the complexity and beauty of its crowning achievement, the human brain.
- David Rogers, Weather Prediction Using a Genetic Memory
- I will not go so far as to say that to construct a history of thought without profound study of the mathematical ideas of successive epochs is like omitting Hamlet from the play which is named after him. . . But it is certainly analogous to cutting out the part of Ophelia. This simile is singularly exact. For Ophelia is quite essential to the play, she is very charming-- and a little mad.
- Alfred North Whitehead (1861 - 1947)
- ...it is certain that the real function of art is to increase our self-consciousness; to make us more aware of what we are, and therefore of what the universe in which we live really is. And since mathematics, in its own way, also performs this function, it is not only aesthetically charming but profoundly significant. It is an art, and a great art.
- John W.N. Sullivan
- The mathematician lives long and lives young; the wings of his soul do not early drop off, nor do its pores become clogged with the earthy particles blown from the dusty highways of vulgar life.
- James Joseph Sylvester
- How did Biot arrive at the partial differential equation? [the heat conduction equation] . . . Perhaps Laplace gave Biot the equation and left him to sink or swim for a few years in trying to derive it. That would have been merely an instance of the way great mathematicians since the very beginnings of mathematical research have effortlessly maintained their superiority over ordinary mortals.
- Clifford Truesdell
- There was a blithe certainty that came from first comprehending the full Einstein field equations, arabesques of Greek letters clinging tenuously to the page, a gossamer web. They seemed insubstantial when you first saw them, a string of squiggles. Yet to follow the delicate tensors as they contracted, as the superscripts paired with subscripts, collapsing mathematically into concrete classical entities-- potential; mass; forces vectoring in a curved geometry-- that was a sublime experience. The iron fist of the real, inside the velvet glove of airy mathematics.
- Gregory Benford - Timescape
- There's no fool like an old fool --- you can't beat experience.
- Jacob Braude
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