Philosophy of Arithmetic
E492936
Philosophy of Arithmetic is Edmund Husserl’s early work in which he investigates the psychological and logical foundations of numbers and arithmetic.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Philosophy of Arithmetic canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T5073531 — 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: Philosophy of Arithmetic Context triple: [Edmund Husserl, notableWork, Philosophy of Arithmetic]
-
A.
Philosophy of Mathematics and Natural Science
Philosophy of Mathematics and Natural Science is a seminal work by Hermann Weyl that explores the conceptual foundations and philosophical implications of modern mathematics and theoretical physics.
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B.
Ontological Reduction and the World of Numbers
"Ontological Reduction and the World of Numbers" is a philosophical essay by W.V.O. Quine that examines how mathematical entities, particularly numbers, can be understood and justified within a naturalistic and ontologically parsimonious framework.
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C.
Lectures on the Logic of Arithmetic
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.
-
D.
The Foundations of Mathematics
The Foundations of Mathematics is a posthumously published collection of F. P. Ramsey’s influential papers on logic, philosophy of mathematics, and the foundations of knowledge.
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E.
Die Grundlagen der Arithmetik
Die Grundlagen der Arithmetik is Gottlob Frege’s seminal philosophical work that lays the logical foundations of arithmetic and advances the logicist thesis that arithmetic is reducible to pure 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: Philosophy of Arithmetic Target entity description: Philosophy of Arithmetic is Edmund Husserl’s early work in which he investigates the psychological and logical foundations of numbers and arithmetic.
-
A.
Philosophy of Mathematics and Natural Science
Philosophy of Mathematics and Natural Science is a seminal work by Hermann Weyl that explores the conceptual foundations and philosophical implications of modern mathematics and theoretical physics.
-
B.
Ontological Reduction and the World of Numbers
"Ontological Reduction and the World of Numbers" is a philosophical essay by W.V.O. Quine that examines how mathematical entities, particularly numbers, can be understood and justified within a naturalistic and ontologically parsimonious framework.
-
C.
Lectures on the Logic of Arithmetic
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.
-
D.
The Foundations of Mathematics
The Foundations of Mathematics is a posthumously published collection of F. P. Ramsey’s influential papers on logic, philosophy of mathematics, and the foundations of knowledge.
-
E.
Die Grundlagen der Arithmetik
Die Grundlagen der Arithmetik is Gottlob Frege’s seminal philosophical work that lays the logical foundations of arithmetic and advances the logicist thesis that arithmetic is reducible to pure logic.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf | book ⓘ |
| academicDiscipline |
mathematics
ⓘ
philosophy ⓘ |
| author | Edmund Husserl ⓘ |
| countryOfOrigin | Germany ⓘ |
| criticizedBy | Gottlob Frege ⓘ |
| criticizedFor | psychologism about arithmetic ⓘ |
| examines |
concept formation in arithmetic
ⓘ
how numbers are given in intuition ⓘ relation between collections and numbers ⓘ |
| focusesOn |
constitution of number in consciousness
ⓘ
logical foundations of arithmetic ⓘ psychological foundations of arithmetic ⓘ |
| genre |
non-fiction
ⓘ
philosophical treatise ⓘ |
| hasPart |
analysis of number concepts
ⓘ
critique of previous theories of number ⓘ theory of collective combinations ⓘ |
| hasTheme |
empirical basis of arithmetic knowledge
ⓘ
intentional acts and mathematical objects ⓘ origin of numerical concepts ⓘ relationship between psychology and logic ⓘ |
| influenced |
Husserl’s Logical Investigations
ⓘ
early phenomenology ⓘ |
| influencedBy |
Bernard Bolzano
ⓘ
Franz Brentano ⓘ Gottlob Frege ⓘ |
| languageOfWork | German ⓘ |
| laterReassessedBy | Edmund Husserl ⓘ |
| originalTitle | Philosophie der Arithmetik ⓘ |
| philosophicalTradition |
phenomenology
ⓘ
psychologism ⓘ |
| positionOnNumbers |
numbers as products of acts of collecting
ⓘ
numbers grounded in mental acts ⓘ |
| publicationYear | 1891 ⓘ |
| relatedWork |
Ideas Pertaining to a Pure Phenomenology and to a Phenomenological Philosophy
ⓘ
Logical Investigations ⓘ |
| subject |
arithmetic
ⓘ
foundations of mathematics ⓘ logic ⓘ number ⓘ philosophy of mathematics ⓘ psychologism ⓘ psychology of number ⓘ |
| timePeriod | late 19th 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: Philosophy of Arithmetic Description of subject: Philosophy of Arithmetic is Edmund Husserl’s early work in which he investigates the psychological and logical foundations of numbers and arithmetic.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.