Do not imagine that mathematics is hard and crabbed, and repulsive to common sense. It is merely the etherealization of common sense.
Lord KelvinRead
The fact that mathematics does such a good job of describing the Universe is a mystery that we don't understand. And a debt that we will probably never be able to repay.
Interpretation
Mathematics effectively describes the universe, yet its profound nature remains a mystery.
In this quote, Lord Kelvin highlights the remarkable ability of mathematics to accurately model and describe the complexities of the universe. Despite this effectiveness, he suggests that the full understanding of why mathematics works so well is elusive, and acknowledges an enduring debt to this powerful tool that humanity may never fully repay.
In practice
During a lecture on the importance of mathematics in physics, this quote could effectively illustrate the profound connection between the two disciplines.
Do not imagine that mathematics is hard and crabbed, and repulsive to common sense. It is merely the etherealization of common sense.
We only know God in His works, but we are forced by science to admit and to believe with absolute confidence in a Directive Power-in an influence other than physical, or dynamical, or electrical forces.
In science there is only physics; all the rest is stamp collecting.
There is nothing new to be discovered in physics now. All that remains is more and more precise measurement.
Let nobody be afraid of true freedom of thought. Let us be free in thought and criticism; but, with freedom, we are bound to come to the conclusion that science is not antagonistic to religion, but a help to it.
I need scarcely say that the beginning and maintenance of life on earth is absolutely and infinitely beyond the range of all sound speculation in dynamical science. The only contribution of dynamics to theoretical biology is absolute negation of automatic commencement or automatic maintenance of life.
Civilization begins with distillation
A wonderful area for speculative academic work is the unknowable. These days religious subjects are in disfavor, but there are still plenty of good topics. The nature of consciousness, the workings of the brain, the origin of aggression, the origin of language, the origin of life on earth, SETI and life on other worlds...this is all great stuff. Wonderful stuff. You can argue it interminably. But it can't be contradicted, because nobody knows the answer to any of these topics.
Even if I stumble on to the absolute truth of any aspect of the universe, I will not realise my luck and instead will spend my life trying to find flaws in this understanding - such is the role of a scientist.
The things that really change the world, according to Chaos theory, are the tiny things. A butterfly flaps its wings in the Amazonian jungle, and subsequently a storm ravages half of Europe.
It is essential to understand our brains in some detail if we are to assess correctly our place in this vast and complicated universe we see all around us.
In summoning even the wisest of physicians to our aid, it is probably that he is relying upon a scientific "truth", the error of which will become obvious in just a few years' time.
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