All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers.
Interpretation
The quote highlights the connection between mathematics and the physical sciences, emphasizing how science aims to quantify natural phenomena.
James Clerk Maxwell suggests that all branches of mathematical sciences derive their principles from the relationships between physical laws and numerical laws. This reveals that the essence of exact science is to simplify and resolve the complexities of nature into quantifiable elements, allowing for a more systematic understanding through mathematical operations.
In practice
In a lecture on the importance of mathematics in scientific discoveries.
Science appears to us with a very different aspect after we have found out that it is not in lecture rooms only, and by means of the electric light projected on a screen, that we may witness physical phenomena, but that we may find illustrations of the highest doctrines of science in games and gymnastics, in travelling by land and by water, in storms of the air and of the sea, and wherever there is matter in motion.
... that, in a few years, all great physical constants will have been approximately estimated, and that the only occupation which will be left to men of science will be to carry these measurements to another place of decimals.
Very few of us can now place ourselves in the mental condition in which even such philosophers as the great Descartes were involved in the days before Newton had announced the true laws of the motion of bodies.
What's the go of that? What's the particular go of that?
I have also a paper afloat, with an electromagnetic theory of light, which, till I am convinced to the contrary, I hold to be great guns.
If we betake ourselves to the statistical method, we do so confessing that we are unable to follow the details of each individual case, and expecting that the effects of widespread causes, though very different in each individual, will produce an average result on the whole nation, from a study of which we may estimate the character and propensities of an imaginary being called the Mean Man.
Yes. I'm a doctor, an epidemiologist, and lots of my professional colleagues flip back and forth between industry and medical roles. I know them; they are not bad people. But it is possible for good people in bad systems to do things that inflict enormous harm.
Each of these [bacterial] species are masterpieces of evolution. Each has persisted for thousands to millions of years. Each is exquisitely adapted to the environment in which it lives, interlocked with other species to form ecosystems upon which our own lives depend in ways we have not begun even to imagine.
Dreaming in public is an important part of our job description, as science writers, but there are bad dreams as well as good dreams. We're dreamers, you see, but we're also realists, of a sort.
The supermoon is a 16-inch pizza compared with a 15-inch pizza. It's a slightly bigger moon; I ain't using the adjective 'supermoon.'
If we're going to go farther from Earth, to Mars or somewhere else someday, we have to have a good understanding of the psychological impact on people. And not only psychologically, but how it affects their cognition. We're doing a lot of research on my cognitive abilities.
Mathematical science shows what is. It is the language of unseen relations between things. But to use and apply that language, we must be able fully to appreciate, to feel, to seize the unseen, the unconscious.
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