A Quote by Vannevar Bush
If scientific reasoning were limited to the logical processes of arithmetic, we should not get very far in our understanding of the physical world. One might as well attempt to grasp the game of poker entirely by the use of the mathematics of probability.
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If scientific reasoning were limited to the logical processes of arithmetic, we should not get very far in our understanding of the physical world
Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which theorems-general and specific statements-can be deduced from the starting assumptions. It is, perhaps, the purest and most rigorous of intellectual activities, and is often thought of as queen of the sciences.
It was our use of probability theory as logic that has enabled us to do so easily what was impossible for those who thought of probability as a physical phenomenon associated with "randomness". Quite the opposite; we have thought of probability distributions as carriers of information.
The scientific method is nearly perfect for understanding the physical aspects of our life. But it is a radically limited viewfinder in its inability to offer values, morals and meanings that are at the center of our lives.
Meanwhile, little people like you and me, if our prayers are sometimes granted, beyond all hope and probability, had better not draw hasty conclusions to our own advantage. If we were stronger, we might be less tenderly treated. If we were braver, we might be sent, with far less help, to defend far more desperate posts in the great battle.
Those who wish to change the world should have the best possible understanding of the world, including what is revealed by the sciences, some of which they might be able to use for their purposes. That's why workers education, including science and mathematics, has commonly been a concern of left intellectuals.
Exploring and colonizing Mars can bring us new scientific understanding of climate change, of how planet-wide processes can make a warm and wet world into a barren landscape. By exploring and understanding Mars, we may gain key insights into the past and future of our own world.
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.
The exquisite order displayed by our scientific understanding of the physical world calls for the divine.
Mathematics is an interesting intellectual sport but it should not be allowed to stand in the way of obtaining sensible information about physical processes.
This branch of mathematics [Probability] is the only one, I believe, in which good writers frequently get results which are entirely erroneous.
The understanding of it [absolute] is very important as a beginning point. Then you can use meditation, further reasoning, long-term familiarity etc., you can use all kinds of methods to deepen this understanding and to have it counter the instinctual sense of being an absolute you.
In some ways we live in a world where things appear to be very logical, very rational, and mechanical aspects of our world are rather scientific and rather straightforward.
Statistics is, or should be, about scientific investigation and how to do it better, but many statisticians believe it is a branch of mathematics. Now I agree that the physicist, the chemist, the engineer, and the statistician can never know too much mathematics, but their objectives should be better physics, better chemistry, better engineering, and in the case of statistics, better scientific investigation. Whether in any given study this implies more or less mathematics is incidental.
Our times seem to be so much about redefining where we are physical and where we're not. For me, it is really exciting to take the cutting edge technology and take it as far as it can get virtually, use it to describe/control the musicology or the behavior of raw natural elements, and then plug it with a sound source which is the most acoustic one there is - like gamelan and pipe organ. So you get the extremes: very virtual and very physical. In that way you shift the physicality.
To criticize mathematics for its abstraction is to miss the point entirely. Abstraction is what makes mathematics work. If you concentrate too closely on too limited an application of a mathematical idea, you rob the mathematician of his most important tools: analogy, generality, and simplicity. Mathematics is the ultimate in technology transfer.
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