The Logic of Relatives
E425809
The Logic of Relatives is a seminal work by Charles Sanders Peirce that develops a formal theory of relations, significantly advancing the foundations of modern logic and mathematics.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Peirce's algebra of logic papers | 1 |
| Peirce's existential graphs | 1 |
| The Logic of Relatives canonical | 1 |
| logic of relations | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4262285 — 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 Logic of Relatives Context triple: [Charles Sanders Peirce, notableWork, The Logic of Relatives]
-
A.
On a Problem of Formal Logic
"On a Problem of Formal Logic" is a seminal philosophical and mathematical paper by F. P. Ramsey that contributed to the foundations of logic and helped inspire what is now known as Ramsey theory.
-
B.
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.
-
C.
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.
-
D.
The Logical Structure of the World
The Logical Structure of the World is Rudolf Carnap’s seminal 1928 work in which he develops a rigorous, formal reconstruction of all scientific concepts from a phenomenalist basis, serving as a foundational text of logical positivism.
-
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: The Logic of Relatives Target entity description: The Logic of Relatives is a seminal work by Charles Sanders Peirce that develops a formal theory of relations, significantly advancing the foundations of modern logic and mathematics.
-
A.
On a Problem of Formal Logic
"On a Problem of Formal Logic" is a seminal philosophical and mathematical paper by F. P. Ramsey that contributed to the foundations of logic and helped inspire what is now known as Ramsey theory.
-
B.
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.
-
C.
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.
-
D.
The Logical Structure of the World
The Logical Structure of the World is Rudolf Carnap’s seminal 1928 work in which he develops a rigorous, formal reconstruction of all scientific concepts from a phenomenalist basis, serving as a foundational text of logical positivism.
-
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 (37)
| Predicate | Object |
|---|---|
| instanceOf |
logical work
ⓘ
scholarly article ⓘ |
| advances |
algebraic logic tradition
ⓘ
formalization of relational reasoning ⓘ |
| author | Charles Sanders Peirce ⓘ |
| contributedTo |
development of predicate logic
ⓘ
development of relational calculus ⓘ foundations of modern logic ⓘ |
| developsConcept |
algebraic treatment of relations
ⓘ
formal theory of relations ⓘ logical relatives ⓘ relational quantification ⓘ relative terms ⓘ |
| field |
logic
ⓘ
mathematics ⓘ philosophy of logic ⓘ |
| genre | academic paper ⓘ |
| hasAuthor |
C. S. Peirce
ⓘ
linked to:
Charles Sanders Peirce
|
| historicalSignificance |
early systematic treatment of relations in logic
ⓘ
seminal work in the history of logic ⓘ |
| influenced |
model theory
ⓘ
modern mathematical logic ⓘ set-theoretic treatments of relations ⓘ |
| language | English ⓘ |
| mainTopic |
algebra of logic
ⓘ
logic of relations ⓘ
linked to:
The Logic of Relatives
relational logic ⓘ symbolic logic ⓘ |
| notableFor |
influencing later logicians and mathematicians
ⓘ
systematic development of a calculus of relations ⓘ |
| partOf | Peirce's work on the algebra of logic ⓘ |
| relatedTo |
Boolean algebra
ⓘ
Peirce's algebra of logic papers ⓘ
linked to:
The Logic of Relatives
Peirce's existential graphs ⓘ
linked to:
The Logic of Relatives
predicate logic ⓘ |
| usesFormalism |
algebraic notation
ⓘ
symbolic notation for relations ⓘ |
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 Logic of Relatives Description of subject: The Logic of Relatives is a seminal work by Charles Sanders Peirce that develops a formal theory of relations, significantly advancing the foundations of modern logic and mathematics.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: The Logic of Relatives
linked to: The Logic of Relatives
linked to: The Logic of Relatives