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What if chance is simply a name for what we do not know?
In A Philosophical Essay on Probabilities, Pierre-Simon Laplace takes uncertainty out of the gambling room and into daily judgment. Writing for readers who are not mathematicians, he uses almost no formulas. Dice, coins, coloured balls, birth records and court verdicts show how probability helps us reason when the facts are incomplete.
Laplace imagines a mind that knows every force and position in nature and can see the whole future. We have no such knowledge. Instead, he explores how to combine chances, trace effects back to likely causes, and weigh evidence. The stakes reach from trust in a witness to the strength of a scientific hypothesis.
What you’ll discover
- A clear starting point Explore what probability means through equally possible cases, coins, dice and coloured balls.
- Clues that lead backward Follow the reasoning that moves from an observed effect toward its likely cause.
- Evidence in human affairs Consider how probability can help weigh testimony, jury decisions and votes.
- Patterns beneath uncertain events See how averages settle toward steady values even when single outcomes remain uncertain.
- Common sense under scrutiny Examine why a long run of one outcome need not make its opposite likelier.
Who will love it
For curious readers who love clear reasoning, students of science, law or statistics, and anyone interested in the roots of modern thinking about evidence, chance and human judgment.
What’s inside
The key ideas, in the 15-minute summary
- Chance is a measure of our ignorance
- Probability is favourable cases over possible cases
- Combine chances by multiplying and conditioning
- From effects back to their likely causes
- Weigh hope and fear by moral expectation
- Large numbers reveal steady laws beneath chance
- Testimony, juries and votes can be weighed
- Common sense errs, and calculation corrects it
- Probability finds causes in nature, and has been tested since
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Ensayo filosófico sobre las probabilidades
by Pierre-Simon Laplace · 1814
Laplace turns dice, court verdicts and planetary orbits into lessons in weighing evidence when certainty escapes us.
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In short
What if chance is only a name for what you do not know? That is the bold idea behind this 1814 essay by the French mathematician and astronomer Pierre-Simon Laplace.
From the 15-minute summary · Key idea 1
Chance is a measure of our ignorance
Laplace begins with a simple principle. Nothing happens without a cause. People speak of chance only when they cannot see the links between causes and effects.
He asks you to imagine an intelligence that knows every force in nature and the place of every object. For such a mind nothing would be uncertain, and the future would lie open like the past. Laplace offers this as an ideal picture, and he points to astronomy as the place where we come closest to it.
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What is A Philosophical Essay on Probabilities about?
It explains the theory of probability for general readers. Laplace sets out its principles, then applies them to games, population counts, testimony, juries, voting, measurement errors and astronomy, arguing that probability is reasoning under uncertainty made exact.
What is Laplace's demon?
Laplace uses it to show why humans, who lack such knowledge, need probability.
When was Laplace's Essay on Probabilities written?
It was published in 1814 in French as the introduction to the second edition of his Analytic Theory of Probabilities, which had appeared in 1812. Laplace revised it through several later editions before his death in 1827.
The author
Pierre-Simon Laplace
1749–1827 · French mathematician and astronomer
Pierre-Simon Laplace was a French mathematician and astronomer. He was born in Beaumont-en-Auge, Normandy, in 1749 and died in Paris in 1827. He worked in Paris and wrote on mathematics, astronomy, and probability. His works include Celestial Mechanics, published from 1799 to 1825, and A Philosophical Essay on Probabilities, published in 1814.
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