All the effects of Nature are only the mathematical consequences of a small number of immutable laws.
Interpretation
Nature operates according to fundamental mathematical laws that remain constant.
Pierre-Simon Laplace's quote reflects the idea that the complexities and phenomena we observe in nature can ultimately be traced back to a handful of unchanging mathematical principles. It suggests that beneath the surface of the natural world lies a structured and predictable framework governed by these immutable laws, emphasizing the relationship between mathematics and the natural sciences.
In practice
This quote can be used in a discussion about the predictability of natural phenomena in a science class.
Without any doubt, the regularity which astronomy shows us in the movements of the comets takes place in all phenomena. The trajectory of a simple molecule of air or vapour is regulated in a manner as certain as that of the planetary orbits; the only difference between them is that which is contributed by our ignorance. Probability is relative in part to this ignorance, and in part to our knowledge.
It is interesting thus to follow the intellectual truths of analysis in the phenomena of nature. This correspondence, of which the system of the world will offer us numerous examples, makes one of the greatest charms attached to mathematical speculations.
The word 'chance' then expresses only our ignorance of the causes of the phenomena that we observe to occur and to succeed one another in no apparent order. Probability is relative in part to this ignorance, and in part to our knowledge.
Given for one instant an intelligence which could comprehend all the forces by which nature is animated and the respective positions of the beings which compose it, if moreover this intelligence were vast enough to submit these data to analysis, it would embrace in the same formula both the movements of the largest bodies in the universe and those of the lightest atom; to it nothing would be uncertain, and the future as the past would be present to its eye.
The weight of evidence for an extraordinary claim must be proportioned to its strangeness.
Probability theory is nothing but common sense reduced to calculation.
The noble science of Geology loses glory from the extreme imperfection of the record. The crust of the earth with its embedded remains must not be looked at as a well-filled museum, but as a poor collection made at hazard and at rare intervals.
Once you can reproduce a phenomenon, you are well on the way to understanding it.
Crash programs fail because they are based on theory that, with nine women pregnant, you can get a baby in a month.
The works of Lavoisier and his associates operated upon many of us at that time like the Sun's rising after a night of moonshine: but Chemistry is now betrothed to the Mathematics, and is in consequence grown somewhat shy of her former admirers.
We look for medicine to be an orderly field of knowledge and procedure. But it is not. It is an imperfect science, an enterprise of constantly changing knowledge, uncertain information, fallible individuals, and at the same time lives on the line. There is science in what we do, yes, but also habit, intuition, and sometimes plain old guessing. The gap between what we know and what we aim for persists. And this gap complicates everything we do.
It's inevitable that we'll have some form of designer children, fueled not just by the science but by parents' hard-wired desire to give their children every advantage.
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