From Mathematics to Philosophy
E1045582
From Mathematics to Philosophy is a philosophical work by logician Hao Wang that explores the foundational and conceptual implications of modern mathematics for broader philosophical inquiry.
All labels observed (1)
| Label | Occurrences |
|---|---|
| From Mathematics to Philosophy canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T13506926 — 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: From Mathematics to Philosophy Context triple: [Hao Wang, notableWork, From Mathematics to Philosophy]
-
A.
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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B.
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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C.
Die Mathematik im Kampf um die Weltanschauung
"Die Mathematik im Kampf um die Weltanschauung" is a philosophical work by mathematician Andreas Speiser that explores the role of mathematics in shaping and clarifying worldviews and fundamental beliefs.
-
D.
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.
-
E.
The Mathematical Experience
The Mathematical Experience is a widely acclaimed book that explores the nature, history, philosophy, and human side of mathematics in an accessible and reflective way.
- 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: From Mathematics to Philosophy Target entity description: From Mathematics to Philosophy is a philosophical work by logician Hao Wang that explores the foundational and conceptual implications of modern mathematics for broader philosophical inquiry.
-
A.
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.
-
B.
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.
-
C.
Die Mathematik im Kampf um die Weltanschauung
"Die Mathematik im Kampf um die Weltanschauung" is a philosophical work by mathematician Andreas Speiser that explores the role of mathematics in shaping and clarifying worldviews and fundamental beliefs.
-
D.
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.
-
E.
The Mathematical Experience
The Mathematical Experience is a widely acclaimed book that explores the nature, history, philosophy, and human side of mathematics in an accessible and reflective way.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
philosophical work ⓘ |
| aimsTo |
bridge mathematics and general philosophy
ⓘ
clarify philosophical significance of modern mathematical results ⓘ |
| author |
Hao Wang
NERFINISHED
ⓘ
Wang Hao NERFINISHED ⓘ |
| countryOfOrigin |
United States of America
ⓘ
surface form:
United States
|
| discusses |
Platonism in mathematics
ⓘ
constructivism in mathematics ⓘ formalism in mathematics ⓘ foundational programs in mathematics ⓘ |
| explores |
implications of modern mathematics for philosophy
ⓘ
limits of formalization ⓘ nature of mathematical knowledge ⓘ relationship between mathematical practice and philosophical theory ⓘ role of logic in philosophy ⓘ |
| field |
logic
ⓘ
philosophy of logic ⓘ philosophy of science ⓘ |
| focusesOn |
conceptual foundations of mathematics
ⓘ
interaction between mathematics and philosophy ⓘ |
| genre |
analytic philosophy
ⓘ
philosophy of mathematics ⓘ |
| hasAuthorOccupation |
logician
ⓘ
philosopher ⓘ |
| hasPart |
chapters on computability
ⓘ
chapters on philosophical methodology ⓘ chapters on proof theory ⓘ chapters on set theory ⓘ |
| influencedBy |
Kurt Gödel
NERFINISHED
ⓘ
modern mathematical logic ⓘ |
| language | English ⓘ |
| mainSubject |
Gödel’s incompleteness theorems
NERFINISHED
ⓘ
conceptual analysis of mathematics ⓘ formal systems ⓘ foundations of mathematics ⓘ logic ⓘ mathematical truth ⓘ philosophy ⓘ set theory ⓘ |
| philosophicalTradition | analytic philosophy of mathematics ⓘ |
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: From Mathematics to Philosophy Description of subject: From Mathematics to Philosophy is a philosophical work by logician Hao Wang that explores the foundational and conceptual implications of modern mathematics for broader philosophical inquiry.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.