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.
New knowledge has led to the recognition in the theory of evolution of more than a hypothesis. It is indeed remarkable that this theory has been progressively accepted by researchers, following a series of discoveries in various fields of knowledge. The convergence, neither sought nor fabricated, of the results of work that was conducted independently is in itself a significant argument in favor of this theory.
Physics is very muddled again at the moment; it is much too hard for me anyway, and I wish I were a movie comedian or something like that and had never heard anything about physics!
We carry stores of DNA in our nuclei that may have come in, at one time or another, from the fusion of ancestral cells and the linking of ancestral organisms in symbiosis. Our genomes are catalogues of instructions from all kinds of sources in nature, filed for all kinds of contingencies.
Science offers the chance to cure debilitating and once-intractable disorders like hemophilia and sickle cell disease. But we need to make sure the ability to access these therapies, or the risk that someone can be locked out of them, doesn't widen gaps between the rich and poor.
I thought to myself: What are the most important problems that society faces that I could contribute to? And it was clear that finding new sustainable sources of energy was the most important.
Considering their impact, you might expect mosquitoes to get more attention than they do. Sharks kill fewer than a dozen people every year, and in the U.S. they get a week dedicated to them on TV every year.
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