Frege's Conception of Numbers as Objects
GPTKB entity
Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:philosophy
|
| gptkbp:coreClaim |
Numbers are abstract, logical objects
Numbers are not linguistic entities Numbers are not mental constructs Numbers are not physical objects |
| gptkbp:criticizedFor |
gptkb:neo-Fregeans
intuitionists |
| gptkbp:describedBy |
gptkb:Die_Grundlagen_der_Arithmetik
|
| gptkbp:describedYear |
1884
|
| gptkbp:field |
gptkb:logic
|
| gptkbp:goal |
Provide a logical foundation for arithmetic
|
| gptkbp:hasConcept |
Numbers are objects, not properties or concepts
|
| https://www.w3.org/2000/01/rdf-schema#label |
Frege's Conception of Numbers as Objects
|
| gptkbp:influenced |
gptkb:Bertrand_Russell
gptkb:Ludwig_Wittgenstein logicism |
| gptkbp:method |
Analysis of numerical statements
Definition of numbers via extensions of concepts |
| gptkbp:problemAddressed |
Epistemology of mathematics
Nature of numbers Objectivity of arithmetic |
| gptkbp:proposedBy |
gptkb:Gottlob_Frege
|
| gptkbp:relatedTo |
gptkb:set_theory
gptkb:Hume's_Principle logicism |
| gptkbp:bfsParent |
gptkb:Crispin_Wright
|
| gptkbp:bfsLayer |
5
|