De ratiociniis in ludo aleae
E3973
De ratiociniis in ludo aleae is a pioneering 17th-century treatise on probability theory, particularly as applied to games of chance.
Aliases (1)
Statements (43)
| Predicate | Object |
|---|---|
| instanceOf |
17th-century book
→
mathematical treatise → work on probability theory → |
| addresses |
fair division of stakes in interrupted games
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probabilities of outcomes in dice throws → |
| author |
Christiaan Huygens
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|
| basedOn |
correspondence between Blaise Pascal and Pierre de Fermat
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|
| centuryOfPublication |
17th century
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|
| citedIn |
historical studies of probability theory
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|
| contains |
solutions to problems posed by Pascal and Fermat
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|
| countryOfFirstPublication |
Dutch Republic
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|
| field |
mathematics
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probability theory → |
| firstPublishedAs |
appendix to Exercitationum Mathematicarum
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|
| focusesOn |
dice games
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gambling problems → |
| genre |
scientific treatise
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|
| hasApproximateLength |
around 14 pages in original edition
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|
| hasForm |
didactic exposition
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|
| hasInfluenceOn |
later textbooks on probability
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|
| hasReprintsIn |
modern critical editions of Huygens' works
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|
| historicalSignificance |
one of the earliest printed works devoted to probability
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|
| inAcademicDiscipline |
history of mathematics
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history of probability → |
| influenced |
Jakob Bernoulli
→
Pierre-Simon Laplace → development of mathematical expectation → |
| isPioneeringWorkIn |
probability theory
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|
| mainSubject |
calculation of probabilities
→
expected value → games of chance → |
| mathematicalTopic |
combinatorics
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probability distributions in discrete settings → |
| notableFor |
early systematic treatment of probability
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formalization of expectation in games of chance → |
| originalLanguage |
Latin
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|
| publicationYear |
1657
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|
| publisher |
Frans van Schooten
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|
| structure |
series of propositions with proofs and examples
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|
| timePeriodDescribed |
early modern period
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|
| titleTranslation |
On Reasoning in Games of Chance
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|
| usesMethod |
combinatorial reasoning
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expected value calculations → |
Referenced by (2)
| Subject (surface form when different) | Predicate |
|---|---|
|
Christiaan Huygens
→
|
authored |
|
De ratiociniis in ludo aleae
("On Reasoning in Games of Chance")
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|
titleTranslation |