Economics profession, they've been - they've been confident in various formulas, but economics is not physics. The same formula that works in one decade doesn't work in the next. Economics is a difficult subject.
Charlie MungerRead
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.
Economics profession, they've been - they've been confident in various formulas, but economics is not physics. The same formula that works in one decade doesn't work in the next. Economics is a difficult subject.
I wouldn't have thought that a wrong theory should lead us to understand better the ordinary quantum field theories or to have new insights about the quantum states of black holes.
Mathematics deals exclusively with the relations of concepts to each other without consideration of their relation to experience.
A science which hesitates to forget its founders is lost.
Opponents say natural selection is not a theory supported by observation or experiment; that it is not based on fact; and that it cannot be proved. Well, no, you cannot prove the theory to people who won't believe in it any more than you can prove that the Battle of Hastings took place in 1066. However, we know the battle happened then, just as we know the course of evolution on earth unambiguously shows that Darwin was right.
Ideas which have been developed simultaneously or in immediate succession in the same mind mutually reproduce each other, and do this with greater ease in the direction of the original succession and with a certainty proportional to the frequency with which they were together
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