Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:philosophy
constructivism |
| gptkbp:allows |
only constructive proofs
|
| gptkbp:basisFor |
gptkb:intuitionistic_type_theory
mathematical truth is a mental construction |
| gptkbp:contrastsWith |
gptkb:classical_mathematics
formal semantics logicism |
| gptkbp:developedBy |
gptkb:L._E._J._Brouwer
|
| gptkbp:emphasizes |
mental constructions
|
| gptkbp:focusesOn |
potential infinity
|
| https://www.w3.org/2000/01/rdf-schema#label |
Brouwer's intuitionism
|
| gptkbp:influenced |
gptkb:Stephen_Kleene
gptkb:logic gptkb:Arend_Heyting gptkb:Bishop's_constructive_analysis |
| gptkbp:influencedBy |
gptkb:Immanuel_Kant
|
| gptkbp:opposedBy |
gptkb:law_of_excluded_middle
actual infinity existence of mathematical objects independent of the mind |
| gptkbp:originatedIn |
early 20th century
|
| gptkbp:publishedIn |
gptkb:'On_the_Foundations_of_Mathematics'_(1907)
|
| gptkbp:relatedTo |
gptkb:Heyting_arithmetic
intuitionistic logic |
| gptkbp:bfsParent |
gptkb:Luitzen_Egbertus_Jan_Brouwer
|
| gptkbp:bfsLayer |
6
|