Ars Conjectandi
E141075
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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Ars Conjectandi canonical | 6 |
How this entity was disambiguated
This entity first appeared as the object of triple T1233821 — 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: Ars Conjectandi Context triple: [Jakob Bernoulli, notableWork, Ars Conjectandi]
-
A.
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.
-
B.
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.
-
C.
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.
-
D.
Port-Royal Logic
Port-Royal Logic is a 17th-century treatise on logic and philosophy, rooted in Cartesian thought and influential in the development of modern logic and epistemology.
-
E.
Principia Mathematica
Principia Mathematica is a landmark three-volume work in mathematical logic and the foundations of mathematics, co-authored by Bertrand Russell and Alfred North Whitehead, which aimed to derive all mathematical truths from a formal system of symbolic logic.
- 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: Ars Conjectandi Target entity description: 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.
-
A.
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.
-
B.
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.
-
C.
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.
-
D.
Port-Royal Logic
Port-Royal Logic is a 17th-century treatise on logic and philosophy, rooted in Cartesian thought and influential in the development of modern logic and epistemology.
-
E.
Principia Mathematica
Principia Mathematica is a landmark three-volume work in mathematical logic and the foundations of mathematics, co-authored by Bertrand Russell and Alfred North Whitehead, which aimed to derive all mathematical truths from a formal system of symbolic logic.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ work on probability theory ⓘ |
| author | Jakob Bernoulli ⓘ |
| completionYear | 1705 ⓘ |
| countryOfPublication | Switzerland ⓘ |
| dedicatedTo | Johann Bernoulli ⓘ |
| describedAs | foundational treatise on probability theory ⓘ |
| discusses |
binomial distribution in the context of repeated trials
ⓘ
fair division problems ⓘ insurance and annuities ⓘ |
| editor |
Nicolaus Bernoulli
ⓘ
surface form:
Nikolaus Bernoulli
|
| fieldOfStudy |
combinatorial analysis
ⓘ
probability ⓘ |
| focusOfPartI | combinatorics and permutations ⓘ |
| focusOfPartII | classical probability theory ⓘ |
| focusOfPartIII | applications to games of chance ⓘ |
| focusOfPartIV | applications to civil, moral, and economic affairs ⓘ |
| genre | scientific literature ⓘ |
| hasKeyResult |
connection between relative frequency and theoretical probability
ⓘ
formal statement of the law of large numbers for Bernoulli trials ⓘ |
| hasLegacy | standard reference in the history of probability theory ⓘ |
| hasPart |
Part I
ⓘ
Part II ⓘ Part III ⓘ Part IV ⓘ |
| historicalSignificance |
helped establish probability as a mathematical discipline
ⓘ
one of the earliest systematic treatments of probability ⓘ |
| influenced |
Abraham de Moivre
ⓘ
Pierre-Simon Laplace ⓘ development of mathematical statistics ⓘ theory of probability ⓘ |
| introducesConcept |
Bernoulli equation
ⓘ
surface form:
Bernoulli theorem
Bernoulli trials framework ⓘ law of large numbers ⓘ |
| language | Latin ⓘ |
| mainSubject |
combinatorics
ⓘ
mathematics ⓘ probability theory ⓘ |
| originalTitle | Ars Conjectandi self-link ⓘ |
| placeOfPublication |
Basel-Stadt
ⓘ
surface form:
Basel
|
| posthumousPublication | true ⓘ |
| publicationYear | 1713 ⓘ |
| publisher | Thurneysen Brothers ⓘ |
| structure | four parts ⓘ |
| timeGapBetweenCompletionAndPublication | 8 years ⓘ |
| usesMethod | combinatorial analysis ⓘ |
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: Ars Conjectandi Description of subject: 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.
Referenced by (6)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
Jakob Bernoulli