A Quote by Howard Whitley Eves
A formal manipulator in mathematics often experiences the discomforting feeling that his pencil surpasses him in intelligence.
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The mathematician who pursues his studies without clear views of this matter, must often have the uncomfortable feeling that his paper and pencil surpass him in intelligence.
Srinivasa Ramanujan was the strangest man in all of mathematics, probably in the entire history of science. He has been compared to a bursting supernova, illuminating the darkest, most profound corners of mathematics, before being tragically struck down by tuberculosis at the age of 33, like Riemann before him. Working in total isolation from the main currents of his field, he was able to rederive 100 years' worth of Western mathematics on his own. The tragedy of his life is that much of his work was wasted rediscovering known mathematics.
Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All one needs for mathematics is a pencil and paper.
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.
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.
Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don't happen to have all the data. In mathematics we have all the data, brought together in the full light of demonstration, and yet we don't understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.
You know these things as thoughts, but your thoughts are not your experiences, they are an echo and after-effect of your experiences: as when your room trembles whe na carriage goes past. I however am sitting in the carriage, and often I am the carriage itself. Ina man who thinks like this, the dichotomy between thinking and feeling, intellect and passion, has really disappeared. He feels his thoughts. He can fall in love with an idea. An idea can make him ill.
I will make an average man into an average dancer, provided he be passably well made. I will teach him how to move his arms and legs, to turn his head. I will give him steadiness, brilliancy and speed; but I cannot endow him with that fire and intelligence, those graces and that expression of feeling which is the soul of true pantomime.
A sad person who is so involved with his sadness that he mistakes it for reality will have a hard time seeing himself as anything but sad. For him, the sadness is not a feeling that he experiences - it is him.
It often seems that, for whatever strange reasons, comedians, in addition to their formal performances, have more comic experiences in real life than other people do.
It is indubitable that a 50-year-old mathematician knows the mathematics he learned at 20 or 30, but has only notions, often rather vague, of the mathematics of his epoch, i.e. the period of time when he is 50.
Coach Kerr is cool, I got a chance to spend a lot of time with him and talk to him not only about basketball, but adjusting to the Bay Area as well as his experiences and my experiences.
There are barbarians who seize this dog, who so prodigiously surpasses man in friendship, and nail him down to a table, and dissect him alive to show you the mezaraic veins... Answer me, Machinist, has Nature really arranged all the springs of feeling in this animal to the end that he might not feel? Has he nerves that he may be incapable of suffering?
I'm the chairman of the intelligence committee. We don't only get formal briefings, but we collect our information from the intelligence community in a variety of ways.
I grow tired of intelligence having such a limited manifestation in movies - "intelligence" usually meaning coastal, with a certain level of formal education.
Formal logic is mathematics, and there are philosophers like Wittgenstein that are very mathematical, but what they're really doing is mathematics - it's not talking about things that have affected computer science; it's mathematical logic.
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