Brouwer’s intuitionism
E1343170
UNEXPLORED
Brouwer’s intuitionism is a philosophy of mathematics that views mathematical objects as mental constructions and rejects classical logic principles like the law of excluded middle for infinite totalities.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Brouwer’s intuitionism canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T18793254 — 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: Brouwer’s intuitionism Context triple: [Brouwer–Heyting–Kolmogorov interpretation, motivatedBy, Brouwer’s intuitionism]
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A.
Elements of Intuitionism
Elements of Intuitionism is a foundational philosophical and logical treatise by Michael Dummett that systematically develops and defends intuitionistic logic and mathematics.
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B.
Recursive Functions and Intuitionistic Mathematics
Recursive Functions and Intuitionistic Mathematics is a seminal work by Stephen Kleene that develops the theory of recursive (computable) functions within the framework of intuitionistic logic and mathematics.
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C.
Brouwer–Heyting–Kolmogorov interpretation
The Brouwer–Heyting–Kolmogorov interpretation is a foundational explanation of intuitionistic logic that interprets logical connectives and proofs in terms of explicit constructions and algorithms rather than classical truth values.
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D.
Hilbert–Brouwer controversy
The Hilbert–Brouwer controversy was an early 20th-century foundational dispute in mathematics between David Hilbert’s formalism and L.E.J. Brouwer’s intuitionism over the nature of mathematical truth and proof.
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E.
“The Philosophical Basis of Intuitionistic Logic”
“The Philosophical Basis of Intuitionistic Logic” is an influential essay by Michael Dummett that examines the philosophical motivations and implications of intuitionistic logic, particularly its connection to theories of meaning and truth.
- 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: Brouwer’s intuitionism Target entity description: Brouwer’s intuitionism is a philosophy of mathematics that views mathematical objects as mental constructions and rejects classical logic principles like the law of excluded middle for infinite totalities.
-
A.
Elements of Intuitionism
Elements of Intuitionism is a foundational philosophical and logical treatise by Michael Dummett that systematically develops and defends intuitionistic logic and mathematics.
-
B.
Recursive Functions and Intuitionistic Mathematics
Recursive Functions and Intuitionistic Mathematics is a seminal work by Stephen Kleene that develops the theory of recursive (computable) functions within the framework of intuitionistic logic and mathematics.
-
C.
Brouwer–Heyting–Kolmogorov interpretation
The Brouwer–Heyting–Kolmogorov interpretation is a foundational explanation of intuitionistic logic that interprets logical connectives and proofs in terms of explicit constructions and algorithms rather than classical truth values.
-
D.
Hilbert–Brouwer controversy
The Hilbert–Brouwer controversy was an early 20th-century foundational dispute in mathematics between David Hilbert’s formalism and L.E.J. Brouwer’s intuitionism over the nature of mathematical truth and proof.
-
E.
“The Philosophical Basis of Intuitionistic Logic”
“The Philosophical Basis of Intuitionistic Logic” is an influential essay by Michael Dummett that examines the philosophical motivations and implications of intuitionistic logic, particularly its connection to theories of meaning and truth.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.