The Doctrine of Chances
E208549
The Doctrine of Chances is an influential 18th-century treatise by Abraham de Moivre that systematically developed the mathematical theory of probability, especially as applied to games of chance.
All labels observed (2)
| Label | Occurrences |
|---|---|
| "The Doctrine of Chances" | 1 |
| The Doctrine of Chances canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1863273 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: The Doctrine of Chances Context triple: [Abraham de Moivre, notableWork, The Doctrine of Chances]
-
A.
Ars Conjectandi
Ars Conjectandi is a foundational 1713 treatise on probability theory by Jakob Bernoulli that systematically developed the mathematical study of chance and introduced key concepts such as the law of large numbers.
-
B.
De ratiociniis in ludo aleae
De ratiociniis in ludo aleae is a pioneering 17th-century treatise on probability theory, particularly as applied to games of chance.
-
C.
A Treatise on Probability
A Treatise on Probability is John Maynard Keynes’s influential 1921 work that develops a logical and philosophical theory of probability, challenging classical and frequency-based interpretations.
-
D.
Théorie analytique des probabilités
Théorie analytique des probabilités is Pierre-Simon Laplace’s foundational treatise that systematically developed probability theory and laid the groundwork for modern statistics.
-
E.
Enigmas of Chance: An Autobiography
Enigmas of Chance: An Autobiography is the memoir of mathematician Mark Kac, reflecting on his life, career, and contributions to probability theory and mathematical physics.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: The Doctrine of Chances Target entity description: The Doctrine of Chances is an influential 18th-century treatise by Abraham de Moivre that systematically developed the mathematical theory of probability, especially as applied to games of chance.
-
A.
Ars Conjectandi
Ars Conjectandi is a foundational 1713 treatise on probability theory by Jakob Bernoulli that systematically developed the mathematical study of chance and introduced key concepts such as the law of large numbers.
-
B.
De ratiociniis in ludo aleae
De ratiociniis in ludo aleae is a pioneering 17th-century treatise on probability theory, particularly as applied to games of chance.
-
C.
A Treatise on Probability
A Treatise on Probability is John Maynard Keynes’s influential 1921 work that develops a logical and philosophical theory of probability, challenging classical and frequency-based interpretations.
-
D.
Théorie analytique des probabilités
Théorie analytique des probabilités is Pierre-Simon Laplace’s foundational treatise that systematically developed probability theory and laid the groundwork for modern statistics.
-
E.
Enigmas of Chance: An Autobiography
Enigmas of Chance: An Autobiography is the memoir of mathematician Mark Kac, reflecting on his life, career, and contributions to probability theory and mathematical physics.
- F. None of above. chosen
Statements (40)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
probability theory book ⓘ treatise ⓘ |
| appliesTo |
card games
ⓘ
dice games ⓘ lotteries ⓘ wagers ⓘ |
| author | Abraham de Moivre ⓘ |
| contributedTo | law of large numbers ⓘ |
| countryOfOrigin | Kingdom of Great Britain ⓘ |
| describes |
binomial distribution
ⓘ
normal approximation to the binomial distribution ⓘ |
| field |
mathematics
ⓘ
probability ⓘ |
| firstPublicationYear | 1718 ⓘ |
| hasEdition |
second edition
ⓘ
third edition ⓘ |
| hasNotableConcept |
approximation of binomial probabilities by the normal curve
ⓘ
combinatorial analysis of games of chance ⓘ expectation in games of chance ⓘ |
| historicalContext | early development of modern probability theory ⓘ |
| historicalSignificance | one of the earliest systematic expositions of probability theory ⓘ |
| influenced |
Pierre-Simon Laplace
ⓘ
Thomas Bayes ⓘ development of actuarial science ⓘ development of mathematical statistics ⓘ |
| language | English ⓘ |
| mainSubject |
games of chance
ⓘ
probability theory ⓘ |
| placeOfPublication |
London
ⓘ
linked to:
London, England
|
| publicationCentury | 18th century ⓘ |
| publisher | W. Pearson ⓘ |
| relatedWork |
Ars Conjectandi
ⓘ
Philosophical Essay on Probabilities ⓘ
linked to:
Essai philosophique sur les probabilités
|
| secondEditionYear | 1738 ⓘ |
| thirdEditionYear | 1756 ⓘ |
| timePeriod | Age of Enlightenment ⓘ |
| usedBy |
actuaries
ⓘ
gamblers ⓘ mathematicians ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: The Doctrine of Chances Description of subject: The Doctrine of Chances is an influential 18th-century treatise by Abraham de Moivre that systematically developed the mathematical theory of probability, especially as applied to games of chance.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: The Doctrine of Chances