Lectures on the Logic of Arithmetic
E91446
Lectures on the Logic of Arithmetic is an educational work by Mary Everest Boole that explores the foundations and teaching of arithmetic through logical and psychological principles.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Lectures on the Logic of Arithmetic canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T765643 — 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.
Target entity: Lectures on the Logic of Arithmetic Context triple: [Mary Everest Boole, notableWork, Lectures on the Logic of Arithmetic]
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A.
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.
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B.
The Logical Syntax of Language
The Logical Syntax of Language is Rudolf Carnap’s seminal 1934 work that systematically develops a formal, logical framework for analyzing the structure and rules of scientific languages, helping to found logical empiricism and modern philosophy of language.
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C.
Frege’s system in "Grundgesetze der Arithmetik"
Frege’s system in "Grundgesetze der Arithmetik" is a foundational logical framework for arithmetic based on second-order logic and Basic Law V, whose inconsistency—revealed by Russell’s paradox—marked a turning point in the development of modern logic and set theory.
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D.
From a Logical Point of View
From a Logical Point of View is a landmark collection of philosophical essays by W.V.O. Quine that helped reshape analytic philosophy, especially through its critique of the analytic–synthetic distinction and its naturalized approach to epistemology.
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E.
Hilbert’s program
Hilbert’s program was an influential early-20th-century initiative in the foundations of mathematics that sought to formalize all of mathematics and prove its consistency using finitistic methods.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Lectures on the Logic of Arithmetic Target entity description: Lectures on the Logic of Arithmetic is an educational work by Mary Everest Boole that explores the foundations and teaching of arithmetic through logical and psychological principles.
-
A.
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.
-
B.
The Logical Syntax of Language
The Logical Syntax of Language is Rudolf Carnap’s seminal 1934 work that systematically develops a formal, logical framework for analyzing the structure and rules of scientific languages, helping to found logical empiricism and modern philosophy of language.
-
C.
Frege’s system in "Grundgesetze der Arithmetik"
Frege’s system in "Grundgesetze der Arithmetik" is a foundational logical framework for arithmetic based on second-order logic and Basic Law V, whose inconsistency—revealed by Russell’s paradox—marked a turning point in the development of modern logic and set theory.
-
D.
From a Logical Point of View
From a Logical Point of View is a landmark collection of philosophical essays by W.V.O. Quine that helped reshape analytic philosophy, especially through its critique of the analytic–synthetic distinction and its naturalized approach to epistemology.
-
E.
Hilbert’s program
Hilbert’s program was an influential early-20th-century initiative in the foundations of mathematics that sought to formalize all of mathematics and prove its consistency using finitistic methods.
- F. None of above. chosen
Statements (32)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
educational work ⓘ |
| aimsTo | improve methods of teaching arithmetic ⓘ |
| appliesPrinciplesOf |
logical reasoning
ⓘ
psychological principles ⓘ |
| associatedWith |
Victorian mathematics education
ⓘ
history of mathematics education ⓘ |
| author | Mary Everest Boole ⓘ |
| contributor | Mary Everest Boole ⓘ |
| countryOfOrigin | United Kingdom ⓘ |
| emphasizes |
intuitive understanding of number
ⓘ
logical structure of numerical operations ⓘ |
| explores |
mental processes in learning arithmetic
ⓘ
relationship between logic and arithmetic ⓘ |
| field |
education
ⓘ
logic ⓘ mathematics ⓘ psychology of education ⓘ |
| focusesOn |
foundations of arithmetic
ⓘ
teaching of arithmetic ⓘ |
| genre |
mathematics education
ⓘ
pedagogy ⓘ |
| hasAuthorGender | female ⓘ |
| intendedAudience |
students of mathematics education
ⓘ
teachers ⓘ |
| language | English ⓘ |
| mainSubject |
arithmetic
ⓘ
logic ⓘ psychology of learning ⓘ |
| relatedTo | George Boole ⓘ |
| relatedWork | Philosophy and Fun of Algebra ⓘ |
| uses | psychological insights in mathematics teaching ⓘ |
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.
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.
Subject: Lectures on the Logic of Arithmetic Description of subject: Lectures on the Logic of Arithmetic is an educational work by Mary Everest Boole that explores the foundations and teaching of arithmetic through logical and psychological principles.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.