A Quote by Doron Zeilberger
You can keep counting forever. The answer is infinity. But, quite frankly, I don't think I ever liked it. I always found something repulsive about it. I prefer finite mathematics much more than infinite mathematics. I think that it is much more natural, much more appealing and the theory is much more beautiful. It is very concrete. It is something that you can touch and something you can feel and something to relate to. Infinity mathematics, to me, is something that is meaningless, because it is abstract nonsense.
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I can observe the game theory is applied very much in economics. Generally, it would be wise to get into the mathematics as much as seems reasonable because the economists who use more mathematics are somehow more respected than those who use less. That's the trend.
Poincaré was a vigorous opponent of the theory that all mathematics can be rewritten in terms of the most elementary notions of classical logic; something more than logic, he believed, makes mathematics what it is.
A chess problem is genuine mathematics, but it is in some way "trivial" mathematics. However, ingenious and intricate, however original and surprising the moves, there is something essential lacking. Chess problems are unimportant. The best mathematics is serious as well as beautiful-"important" if you like, but the word is very ambiguous, and "serious" expresses what I mean much better.
I know where my heart is and I know that I can make people feel something with my music. I'm quite confident in what I am doing, so if I can also make a song that people want to put in ten times during a party and makes them happy, then I think that is also good. I feel that playfulness is something that has entered my life a lot more in the last couple of years. I'm not taking everything too seriously. I think that is something that comes with age - I hope. I feel that music is much more fun for me than it has ever been.
If one feels the need of something grand, something infinite, something that makes one feel aware of God, one need not go far to find it. I think that I see something deeper, more infinite, more eternal than the ocean in the expression of the eyes of a little baby when it wakes in the morning and coos or laughs because it sees the sun shining on its cradle.
My scientific work is much more practically minded - to change something, to effect something. And the music I do is much more soft power, about changing minds.
Mathematics is much more than computation with pencil and a paper and getting answers to routine exercises. In fact, it can easily be argued that computation, such as doing long division, is not mathematics at all. Calculators can do the same thing and calculators can only calculate they cannot do mathematics.
On foundations we believe in the reality of mathematics, but of course, when philosophers attack us with their paradoxes, we rush to hide behind formalism and say 'mathematics is just a combination of meaningless symbols,'... Finally we are left in peace to go back to our mathematics and do it as we have always done, with the feeling each mathematician has that he is working with something real. The sensation is probably an illusion, but it is very convenient.
It's easy to make something avant garde. To do something in the traditional way is much more brave in the sense that you're - your technique is so much more exposed because there's not all this flashy stuff to distract the viewer.
Community is another such phenomenon. Like electricity, it is profoundly lawful. Yet there remains something about it that is inherently mysterious, miraculous, unfathomable. Thus there is no adequate one-sentence definition of genuine community. Community is something more than the sum of its parts, its individual members. What is this "something more?" Even to begin to answer that, we enter a realm that is not so much abstract as almost mystical. It is a realm where words are never fully suitable and language itself falls short.
For me, writing music is a way of processing the world. It's not a concrete thing, as in, "This piece is about giraffes." It's much more of an emotional sort of thing. I want people to find something out about themselves through my music, something that was inaccessible before, something that they were suppressing, something that they couldn't really confront.
Some people think that mathematics is a serious business that must always be cold and dry; but we think mathematics is fun, and we aren't ashamed to admit the fact. Why should a strict boundary line be drawn between work and play? Concrete mathematics is full of appealing patterns; the manipulations are not always easy, but the answers can be astonishingly attractive.
When you think things are bad, when you feel sour and blue, when you start to get mad... you should do what I do! Just tell yourself, Duckie, you're really quite lucky! Some people are much more... oh, ever so much more... oh, muchly much-much more unlucky than you!
The problem is how do molecules react. Because if you want to transform a molecule into something useful or something you're interested in, it helps a lot to understand the structure. That means you can explore much more complicated systems, much more complicated reactions.
I think there's something quite interesting about the almost tragic quality of a lot of overwrought prose, because it has a much more self-conscious awareness of its own failure to touch the real.
Sometimes it's not like I write very specific, it's more like I add an atmosphere almost to something that might have been quite awkward in my mind from the beginning. Something has happened and I want to force myself to think of it in a more positive way. And then I force myself to write something that convinces me that this is actually something pretty good or something that I learned something valuable from.
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