Logical Foundations of Probability
E63459
Logical Foundations of Probability is a seminal philosophical work by Rudolf Carnap that develops a rigorous logical and formal account of probability and inductive reasoning.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Logical Foundations of Probability canonical | 1 |
| Rudolf Carnap's Logical Foundations of Probability | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T511645 — 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: Logical Foundations of Probability Context triple: [Rudolf Carnap, notableWork, Logical Foundations of Probability]
-
A.
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.
-
B.
Remarks on the Foundations of Mathematics
Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
-
C.
An Investigation of the Laws of Thought
An Investigation of the Laws of Thought is George Boole’s foundational 1854 treatise that established Boolean algebra and helped lay the groundwork for modern mathematical logic and computer science.
-
D.
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.
-
E.
The Mathematical Analysis of Logic
The Mathematical Analysis of Logic is George Boole’s pioneering 1847 work that laid the foundations of symbolic logic and helped initiate the algebraic treatment of logical reasoning.
- 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: Logical Foundations of Probability Target entity description: Logical Foundations of Probability is a seminal philosophical work by Rudolf Carnap that develops a rigorous logical and formal account of probability and inductive reasoning.
-
A.
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.
-
B.
Remarks on the Foundations of Mathematics
Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
-
C.
An Investigation of the Laws of Thought
An Investigation of the Laws of Thought is George Boole’s foundational 1854 treatise that established Boolean algebra and helped lay the groundwork for modern mathematical logic and computer science.
-
D.
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.
-
E.
The Mathematical Analysis of Logic
The Mathematical Analysis of Logic is George Boole’s pioneering 1847 work that laid the foundations of symbolic logic and helped initiate the algebraic treatment of logical reasoning.
- F. None of above. chosen
Statements (51)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
philosophical work ⓘ work on probability theory ⓘ |
| addresses |
the concept of confirmation
ⓘ
the foundations of probability theory ⓘ the justification of inductive inference ⓘ the problem of induction ⓘ |
| argues |
for a formal explication of inductive reasoning
ⓘ
that probability statements can be understood as logical relations between sentences ⓘ |
| author | Rudolf Carnap ⓘ |
| contributesTo |
Bayesian inference
ⓘ
surface form:
Bayesian epistemology
confirmation theory ⓘ formal epistemology ⓘ philosophy of science ⓘ |
| distinguishes |
inductive logic from deductive logic
ⓘ
logical probability from statistical frequency ⓘ |
| field |
epistemology
ⓘ
logic ⓘ philosophy ⓘ probability theory ⓘ |
| genre |
logic
ⓘ
philosophy of probability ⓘ philosophy of science ⓘ |
| influenced |
formal approaches to inductive logic
ⓘ
later work in Bayesian confirmation theory ⓘ philosophy of probability in the 20th century ⓘ |
| influencedBy |
Rudolf Carnap's earlier work on logical syntax
ⓘ
classical probability theory ⓘ logical empiricist program ⓘ |
| language | English ⓘ |
| mainTopic |
Bayesian reasoning
ⓘ
axiomatization of probability ⓘ confirmation theory ⓘ degree of confirmation ⓘ inductive logic ⓘ inductive reasoning ⓘ logical positivism ⓘ
surface form:
logical empiricism
logical interpretation of probability ⓘ logical probability ⓘ probability ⓘ |
| philosophicalTradition |
logical empiricism
ⓘ
logical positivism ⓘ |
| proposes |
axiomatic treatment of probability as a logical relation
ⓘ
formal system for inductive logic ⓘ logical interpretation of probability as degree of confirmation ⓘ |
| relatedTo |
Bayesian interpretation of probability
ⓘ
Carnap's continuum of inductive methods ⓘ logical probability theory ⓘ |
| uses |
axiomatic methods
ⓘ
formal logical languages ⓘ measure-theoretic ideas about probability ⓘ |
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: Logical Foundations of Probability Description of subject: Logical Foundations of Probability is a seminal philosophical work by Rudolf Carnap that develops a rigorous logical and formal account of probability and inductive reasoning.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Rudolf Carnap's Logical Foundations of Probability