Facts are the air of scientists. Without them you can never fly.
Linus PaulingRead
Mathematics is one of the deepest and most powerful expressions of pure human reason, and, at the same time, the most fundamental resource for description and analysis of the experiential world.
Interpretation
Mathematics is a key tool for human reasoning and understanding the world around us.
This quote by Hyman Bass emphasizes the dual role of mathematics as both a profound expression of human intellect and as an essential tool for describing and analyzing our experiences in the real world. It suggests that mathematical reasoning goes beyond mere numbers and calculations, serving as a foundation for comprehending complex phenomena in various domains of life and science.
In practice
In a lecture on the importance of mathematics in scientific research, you could use this quote to highlight its significance.
Facts are the air of scientists. Without them you can never fly.
Probability theory is nothing but common sense reduced to calculation.
Mystics exult in mystery and want it to stay mysterious. Scientists exult in mystery for a different reason: It gives them something to do.
I'm not trying to copy Nature, I'm trying to find the principles she's using.
At no period of [Michael Faraday's] unmatched career was he interested in utility. He was absorbed in disentangling the riddles of the universe, at first chemical riddles, in later periods, physical riddles. As far as he cared, the question of utility was never raised. Any suspicion of utility would have restricted his restless curiosity. In the end, utility resulted, but it was never a criterion to which his ceaseless experimentation could be subjected.
There is a great difference between discoveries and inventions. With discoveries, one can always be skeptical, and many surprises can take place. In the case of inventions, surprises can really only occur for people who have not had anything to do with it.
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