Philosophy of Mathematics and Natural Science
E117651
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.
All labels observed (4)
How this entity was disambiguated
This entity first appeared as the object of triple T990117 — 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 Mathematics and Natural Science Context triple: [Hermann Weyl, notableWork, Philosophy of Mathematics and Natural Science]
-
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 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.
-
C.
Philosophical Foundations of Physics
Philosophical Foundations of Physics is a major work by Rudolf Carnap that systematically examines the logical and conceptual underpinnings of modern physical theories from a philosophy of science perspective.
-
D.
Conjectures and Refutations
Conjectures and Refutations is a major philosophical work by Karl Popper that develops his theory of scientific knowledge through the ideas of falsifiability, critical testing, and the growth of knowledge via bold hypotheses and their refutation.
-
E.
The Logic of Scientific Discovery
The Logic of Scientific Discovery is Karl Popper’s foundational philosophical work that introduces falsifiability as the key criterion distinguishing scientific theories from non-scientific ones.
- 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 Mathematics and Natural Science Target entity description: 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.
-
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 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.
-
C.
Philosophical Foundations of Physics
Philosophical Foundations of Physics is a major work by Rudolf Carnap that systematically examines the logical and conceptual underpinnings of modern physical theories from a philosophy of science perspective.
-
D.
Conjectures and Refutations
Conjectures and Refutations is a major philosophical work by Karl Popper that develops his theory of scientific knowledge through the ideas of falsifiability, critical testing, and the growth of knowledge via bold hypotheses and their refutation.
-
E.
The Logic of Scientific Discovery
The Logic of Scientific Discovery is Karl Popper’s foundational philosophical work that introduces falsifiability as the key criterion distinguishing scientific theories from non-scientific ones.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
non-fiction book ⓘ philosophy of science book ⓘ |
| author | Hermann Weyl ⓘ |
| discusses |
Hilbert’s program
ⓘ
continuum hypothesis ⓘ general relativity ⓘ intuitionistic logic ⓘ quantum mechanics ⓘ set theory ⓘ |
| englishEditionPublisher | Princeton University Press ⓘ |
| englishEditionSeries | Princeton Mathematical Series ⓘ |
| englishEditionYear | 1949 ⓘ |
| focusesOn |
conceptual foundations of mathematics
ⓘ
conceptual foundations of natural science ⓘ philosophical implications of modern mathematics ⓘ philosophical implications of modern physics ⓘ |
| hasEnglishEdition | Philosophy of Mathematics and Natural Science (English translation) ⓘ |
| hasPart |
chapters on probability and causality
ⓘ
chapters on space, time, and matter ⓘ chapters on the nature of mathematical knowledge ⓘ chapters on the structure of physical theories ⓘ |
| hasReputation |
seminal work in philosophy of mathematics
ⓘ
seminal work in philosophy of physics ⓘ |
| influencedBy |
David Hilbert
ⓘ
Immanuel Kant ⓘ intuitionism ⓘ quantum theory ⓘ relativity theory ⓘ
linked to:
theory of relativity
|
| notableFor |
analysis of the impact of quantum mechanics on causality
ⓘ
analysis of the impact of relativity on concepts of space and time ⓘ critique of formalism in mathematics ⓘ defense of a form of mathematical intuition ⓘ discussion of the continuum and infinitesimals ⓘ integration of mathematical and physical perspectives in philosophy of science ⓘ |
| originalLanguage | German ⓘ |
| originalTitle | Philosophie der Mathematik und Naturwissenschaft ⓘ |
| publicationYear | 1927 ⓘ |
| publisher | Leipzig: S. Hirzel Verlag ⓘ |
| subject |
epistemology of science
ⓘ
foundations of mathematics ⓘ foundations of physics ⓘ modern mathematics ⓘ philosophy of mathematics ⓘ philosophy of physics ⓘ theoretical physics ⓘ |
| translatedBy |
Gordon G. L. Clark
ⓘ
Olga Helmer ⓘ |
| usedAs | reference text in philosophy of science courses ⓘ |
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 Mathematics and Natural Science Description of subject: 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.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject linked to:
Weyl
Philosophy of Mathematics and Natural Science
→
hasEnglishEdition
→
Philosophy of Mathematics and Natural Science (English translation)
ⓘ
linked to: Philosophy of Mathematics and Natural Science
linked to: Philosophy of Mathematics and Natural Science
linked to: Philosophy of Mathematics and Natural Science