Looking back from today's vantage, Eisenstein's mathematics appear to us more up to date than ever. It is not so much the harvest of theorems, nor the creation of full-fledged theories, but the way of looking at things which amazes us...
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Norbert Schappacher in Mathematics in Berlin (1998)Ferdinand Eisenstein
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What attracted me so strongly and exclusively to mathematics, apart from the actual content, was particularly the specific nature of the mental processes by which mathematical concepts are handled. This way of deducing and discovering new truths from old ones, and the extraordinary clarity and self-evidence of the theorems, the ingeniousness of the ideas... had an irresistible fascination for me. Beginning from the individual theorems, I grew accustomed to delve more deeply into their relationships and to grasp whole theories as a single entity. That is how I conceived the idea of mathematical beauty...
Ferdinand Eisenstein
In the east the moon was rising, a full moon that lighted the landscape so that he could see every little clump of bushes, every grove of trees. And as he stood there, he realized with a sudden start that the moon was full again, that it was always full, it rose with the setting of the sun and set just before the sun came up, and it was always a great pumpkin of a moon, an eternal harvest moon shining on an eternal autumn world.
The realization that this was so all at once seemed shocking. How was it that he had never noticed this before? Certainly he had been here long enough, had watched the moon often enough to have noticed it. He had been here long enough — and how long had that been, a few weeks, a few months, a year? He found he did not know. He tried to figure back and there was no way to figure back. There were no temporal landmarks. Nothing ever happened to mark one day from the next. Time flowed so smoothly and so uneventfully that it might as well stand still.Clifford D. Simak
It is almost as hard to define mathematics as it is to define economics, and one is tempted to fall back on the famous old definition attributed to Jacob Viner, “Economics is what economists do,” and say that mathematics is what mathematicians do. A large part of mathematics deals with the formal relations of quantities or numbers.
Kenneth Boulding
Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another proposition is true of that thing. It is essential not to discuss whether the first proposition is really true, and not to mention what the anything is, of which it is supposed to be true ... If our hypothesis is about anything, and not about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. People who have been puzzled by the beginnings of mathematics will, I hope, find comfort in this definition, and will probably agree that it is accurate.
Bertrand Russell
Valentine's Day is being marketed as a Date Movie. I think it's more of a First-Date Movie. If your date likes it, do not date that person again. And if you like it, there may not be a second date.
Roger Ebert
Eisenstein, Ferdinand
Ekaku, Hakuin
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