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Structuralism (in mathematics)
URI:
https://gptkb.org/entity/Structuralism_(in_mathematics)
GPTKB entity
Statements (28)
Predicate
Object
gptkbp:instanceOf
gptkb:logic
gptkbp:address
gptkb:Benacerraf's_identification_problem
gptkbp:contrastsWith
gptkb:mathematical_nominalism
gptkb:mathematical_Platonism
formal semantics
logicism
intuitionism
gptkbp:describedBy
gptkb:Mathematical_Structuralism_(Stanford_Encyclopedia_of_Philosophy)
gptkb:Philosophy_of_Mathematics:_Structure_and_Ontology_(book)
gptkbp:emphasizes
relations over objects
gptkbp:example
points in geometry as positions in geometric structures
natural numbers as positions in the structure of the number system
gptkbp:focusesOn
mathematical structures
gptkbp:hasConcept
mathematical objects are positions in structures
https://www.w3.org/2000/01/rdf-schema#label
Structuralism (in mathematics)
gptkbp:influencedBy
gptkb:structuralism_(general_philosophy)
gptkbp:notableFigure
gptkb:Paul_Benacerraf
gptkb:Stewart_Shapiro
gptkb:Geoffrey_Hellman
gptkbp:proposedBy
mathematical objects have no identity outside their structure
gptkbp:relatedTo
gptkb:set_theory
gptkb:category_theory
model theory
gptkbp:variant
gptkb:ante_rem_structuralism
in re structuralism
modal structuralism
gptkbp:bfsParent
gptkb:Realism_in_Mathematics
gptkbp:bfsLayer
7