Laplace Quotes

Nature laughs at the difficulties of integration. ~ Pierre-Simon Laplace

Napoleon: You have written this huge book on the system of the world without once mentioning the author of the universe. Laplace: Sire, I had no need of that hypothesis. Later when told by Napoleon about the incident, Lagrange commented: Ah, but that is a fine hypothesis. It explains so many things. ~ Pierre-Simon Laplace

Willard Gibbs did for statistical mechanics and for thermodynamics what Laplace did for celestial mechanics and Maxwell did for electrodynamics, namely, made his field a well-nigh finished theoretical structure. ~ Robert Andrews Millikan

What we know here is very little, but what we are ignorant of is immense. ~ Pierre Laplace

The weight of evidence for an extraordinary claim must be proportioned to its strangeness. ~ Pierre-Simon Laplace

Biot, who assisted Laplace in revising it [The Mécanique Céleste] for the press, says that Laplace himself was frequently unable to recover the details in the chain of reasoning, and if satisfied that the conclusions were correct, he was content to insert the constantly recurring formula, 'Il est àisé avoir' [it is easy to see]. ~ W.W. Rouse Ball

Yet Laplace had built his probability theory on intuition. As far as he was concerned, "essentially, the theory of probability is nothing but good common sense reduced to mathematics. It provides an exact appreciation of what sound minds feel with a kind of instinct, frequently without being able to account for it. ~ Sharon Bertsch McGrayne

Laplace considers astronomy a science of observation, because we can only observe the movements of the planets; we cannot reach them, indeed, to alter their course and to experiment with them. "On earth," said Laplace, "we make phenomena vary by experiments; in the sky, we carefully define all the phenomena presented to us by celestial motion." Certain physicians call medicine a science of observations, because they wrongly think that experimentation is inapplicable to it. ~ Claude Bernard

Of Sir Isaac Newton's momentous decipherment of the laws of the universe, the French scientist Pierre-Simon de Laplace famously told Napoleon, in his philosophical euphoria, that he no longer had need of God to make sense of creation. Secular science could henceforth exile God from his universe. In Joseph Smith's conception, by contrast, naturalism and God co-exist. ~ Terryl L. Givens

The first effect of the mind growing cultivated is that processes once multiple get to be performed in a single act. Lazarus has called this the progressive 'condensation' of thought. ... Steps really sink from sight. An advanced thinker sees the relations of his topics is such masses and so instantaneously that when he comes to explain to younger minds it is often hard ... Bowditch, who translated and annotated Laplace's Méchanique Céleste, said that whenever his author prefaced a proposition by the words 'it is evident,' he knew that many hours of hard study lay before him. ~ William James

We are so far from knowing all the forces of nature and their various modes of action that it would be unworthy of the philosopher to deny phenomena simply because they are inexplicable at the present state of our knowledge. The more difficult it is to acknowledge their existence, the greater the care with which we must study these phenomena. ~ Pierre-Simon Laplace

The simplicity of nature is not to be measured by that of our conceptions. Infinitely varied in its effects, nature is simple only in its causes, and its economy consists in producing a great number of phenomena, often very complicated, by means of a small number of general laws. ~ Pierre-Simon Laplace

Man follows only phantoms. ~ Pierre-Simon Laplace

Your Excellency, I have no need of this hypothesis. ~ Pierre Laplace

[Science] dissipates errors born of ignorance about our true relations with nature, errors the more damaging in that the social order should rest only on those relations. TRUTH! JUSTICE! Those are the immutable laws. Let us banish the dangerous maxim that it is sometimes useful to depart from them and to deceive or enslave mankind to assure its happiness. ~ Pierre-Simon Laplace

Whenever I meet in Laplace with the words 'Thus it plainly appears', I am sure that hours and perhaps days, of hard study will alone enable me to discover how it plainly appears. ~ Nathaniel Bowditch

Truth and justice are the immutable laws of social order. ~ Pierre-Simon Laplace

Read Euler, read Euler, he is the master of us all. ~ Pierre-Simon Laplace

I have lived long enough to know what I did not at one time believe
that no society can be upheld in happiness and honor without the sentiment of religion. ~ Pierre-Simon Laplace

No one can read the history of astronomy without perceiving that Copernicus, Newton, Laplace, are not new men, or a new kind of men, but that Thales, Anaximenes, Hipparchus, Empodocles, Aristorchus, Pythagorus, Oenipodes, had anticipated them. ~ Ralph Waldo Emerson

Napoleon, when hearing about Laplace's latest book, said, 'M. Laplace, they tell me you have written this large book on the system of the universe, and have never even mentioned its creator.'

Laplace responds, 'Je n'avais pas besoin de cette hypothèse-là. (I had no need of that hypothesis.) ~ Pierre-Simon Laplace

All the effects of Nature are only the mathematical consequences of a small number of immutable laws. ~ Pierre-Simon Laplace

What we know is not much. What we don't know is enormous. ~ Pierre-Simon Laplace

...by shortening the labours doubled the life of the astronomer.

{On the benefit of John Napier's logarithms.} ~ Pierre-Simon Laplace

The influence of electricity in producing decompositions, although of inestimable value as an instrument of discovery in chemical inquiries, can hardly be said to have been applied to the practical purposes of life, until the same powerful genius [Davy] which detected the principle, applied it, by a singular felicity of reasoning, to arrest the corrosion of the copper-sheathing of vessels ... this was regarded as by Laplace as the greatest of Sir Humphry's discoveries. ~ Charles Babbage

The theory of probabilities is at bottom nothing but common sense reduced to calculus; it enables us to appreciate with exactness that which accurate minds feel with a sort of instinct for which of times they are unable to account. ~ Pierre-Simon Laplace

To Napoleon on why his works on celestial mechanics make no mention of God: Your Highness, I have no need of this hypothesis. ~ Pierre-Simon Laplace

There is no supernatural, there is only nature. Nature alone exists and contains all. All is. There is the part of nature that we perceive, and the part of nature that we do not perceive ... If you abandon these facts, beware; charlatans will light upon them, also the imbecile. There is no mean: science, or ignorance. If science does not want these facts, ignorance will take them up. You have refused to enlarge human intelligence, you augment human stupidity. When Laplace withdraws Cagliostro appears. ~ Victor Hugo

Unlike earlier thinkers, who had sought to improve their accuracy by getting rid of error, Laplace realized that you should try to get more error: aggregate enough flawed data, and you get a glimpse of the truth. "The genius of statistics, as Laplace defined it, was that it did not ignore errors; it quantified them," the writer Louis Menand observed. " ... The right answer is, in a sense, a function of the mistakes. ~ Kathryn Schulz

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. ~ Pierre-Simon Laplace

The theory of probabilities is basically only common sense reduced to a calculus. It makes one estimate accurately what right-minded people feel by a sort of instinct, often without being able to give a reason for it. ~ Pierre-Simon Laplace

statistical thinking is merely an artifact of human ignorance. we need to use statistics nature does not. ~ Pierre-Simon Laplace

How did Biot arrive at the partial differential equation? [the heat conduction equation] ... Perhaps Laplace gave Biot the equation and left him to sink or swim for a few years in trying to derive it. That would have been merely an instance of the way great mathematicians since the very beginnings of mathematical research have effortlessly maintained their superiority over ordinary mortals. ~ Clifford A. Truesdell

The simplicity of the law by which the celestial bodies move, and the relations of their masses and distances, permit analysis to follow their motions up to a certain point; and in order to determine the state of the system of these great bodies in past or future centuries, it suffices for the mathematician that their position and their velocity be given by observation for any moment in time. ~ Pierre-Simon Laplace

What we know is not much. What we do not know is immense. ~ Pierre-Simon Laplace

Probability theory is nothing more than common sense reduced to calculation. -1819 ~ Pierre-Simon Laplace