Principles of Mathematics
E2511
Principles of Mathematics is Bertrand Russell’s foundational work in mathematical logic and the philosophy of mathematics, arguing that mathematics can be derived from purely logical principles.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Principles of Mathematics canonical | 2 |
| Part I: The Indefinables of Mathematics | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T32490 — 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: Principles of Mathematics Context triple: [Bertrand Russell, notableWork, Principles of Mathematics]
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A.
Faculty of Mathematics and Computer Science
The Faculty of Mathematics and Computer Science is an academic division of the University of Göttingen specializing in research and education in pure and applied mathematics, computer science, and related fields.
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B.
Hilbert spaces
Hilbert spaces are complete inner product spaces that provide the fundamental framework for modern functional analysis and many areas of mathematical physics.
-
C.
Feynman Lectures on Physics
Feynman Lectures on Physics is a renowned three-volume introductory physics textbook based on Richard Feynman’s legendary Caltech lectures, celebrated for its clarity, depth, and engaging style.
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D.
Syntactic Structures
Syntactic Structures is a landmark 1957 book by linguist Noam Chomsky that revolutionized the study of language by introducing generative grammar and challenging behaviorist views of linguistics.
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E.
Feynman–Kac formula
The Feynman–Kac formula is a fundamental result connecting solutions of certain partial differential equations with expectations over stochastic processes, forming a bridge between quantum mechanics, probability theory, and mathematical finance.
- 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: Principles of Mathematics Target entity description: Principles of Mathematics is Bertrand Russell’s foundational work in mathematical logic and the philosophy of mathematics, arguing that mathematics can be derived from purely logical principles.
-
A.
Faculty of Mathematics and Computer Science
The Faculty of Mathematics and Computer Science is an academic division of the University of Göttingen specializing in research and education in pure and applied mathematics, computer science, and related fields.
-
B.
Hilbert spaces
Hilbert spaces are complete inner product spaces that provide the fundamental framework for modern functional analysis and many areas of mathematical physics.
-
C.
Feynman Lectures on Physics
Feynman Lectures on Physics is a renowned three-volume introductory physics textbook based on Richard Feynman’s legendary Caltech lectures, celebrated for its clarity, depth, and engaging style.
-
D.
Syntactic Structures
Syntactic Structures is a landmark 1957 book by linguist Noam Chomsky that revolutionized the study of language by introducing generative grammar and challenging behaviorist views of linguistics.
-
E.
Feynman–Kac formula
The Feynman–Kac formula is a fundamental result connecting solutions of certain partial differential equations with expectations over stochastic processes, forming a bridge between quantum mechanics, probability theory, and mathematical finance.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
non-fiction book ⓘ philosophy of mathematics work ⓘ work on mathematical logic ⓘ |
| addresses |
concept of infinity
ⓘ
continuity and the continuum ⓘ foundations of geometry ⓘ logical form of mathematical propositions ⓘ nature of classes and relations ⓘ nature of numbers ⓘ paradoxes of set theory ⓘ |
| author | Bertrand Russell ⓘ |
| countryOfOrigin | United Kingdom ⓘ |
| genre |
logic
ⓘ
mathematics ⓘ philosophy ⓘ |
| hasPart |
Principles of Mathematics
self-linksurface differs
ⓘ
surface form:
Part I: The Indefinables of Mathematics
Part II: Number ⓘ Part III: Quantity ⓘ Part IV: Order ⓘ Principia Mathematica ⓘ
surface form:
Part V: Infinity and Continuity
Part VI: Space ⓘ Part VII: Matter and Motion ⓘ |
| influenced |
20th-century analytic philosophy
ⓘ
Principia Mathematica ⓘ foundations of mathematics research ⓘ philosophy of logic ⓘ |
| language | English ⓘ |
| mainClaim |
all pure mathematics can be derived from logical principles
ⓘ
mathematics deals with logical relations among abstract entities ⓘ |
| notableFor |
early use of symbolic logic in foundations of mathematics
ⓘ
systematic defense of logicism ⓘ |
| philosophicalPositionDefended |
logicism
ⓘ
mathematics is reducible to logic ⓘ |
| publicationYear | 1903 ⓘ |
| publisher | Cambridge University Press ⓘ |
| relatedWork | Principia Mathematica ⓘ |
| subject |
classes
ⓘ
continuity ⓘ foundations of mathematics ⓘ geometry ⓘ infinity ⓘ logicism ⓘ mathematical logic ⓘ number theory ⓘ philosophy of mathematics ⓘ relations ⓘ set theory ⓘ |
| timePeriod | early 20th century ⓘ |
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: Principles of Mathematics Description of subject: Principles of Mathematics is Bertrand Russell’s foundational work in mathematical logic and the philosophy of mathematics, arguing that mathematics can be derived from purely logical principles.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Part I: The Indefinables of Mathematics
subject surface form:
Bertrand Russell