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.
Eventually we must leave Earth-at least a certain number of our progeny must as our sun approaches the end of its solar life cycle. But just as terrestrial explorers have always led the way for settlers, this will also happen extraterrestrially. Earth is our cradle, not our final destiny.
What works most effectively for quelling disease outbreaks like Ebola is not quarantining huge populations. What works is focusing on and isolating the sick and those in direct contact with them as they are at highest risk of infection. This strategy worked with SARS, and it worked during the H1N1 flu pandemic.
So there he is at last. Man on the moon. The poor magnificent bungler! He can't even get to the office without undergoing the agonies of the damned, but give him a little metal, a few chemicals, some wire and twenty or thirty billion dollars and vroom! there he is, up on a rock a quarter of a million miles up in the sky.
The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical construct which, with the addition of certain verbal interpretations, describes observed phenomena. The justification of such a mathematical construct is solely and precisely that it is expected to work-that is, correctly to describe phenomena from a reasonably wide area.
We came all this way to explore the Moon, and the most important thing is that we discovered the Earth.
Imagine the progress that could be made by gathering together the world's scientists, engineers, physicians, oncologists, epidemiologists and more in a super-team effort to end cancer.
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