Statements (62)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:philosophy
|
| gptkbp:belief |
mathematical entities are not contingent
|
| gptkbp:concept |
has implications for the philosophy of science
has been influential in the development of mathematics. |
| gptkbp:defending_champion |
gptkb:W._V._O._Quine
G. Frege |
| gptkbp:doctrine |
mathematics is a study of abstract objects
|
| gptkbp:has_role |
mathematics is a study of abstract concepts
mathematics is not merely a language |
| gptkbp:holds_that |
mathematical truths are discovered, not invented
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mathematical Platonism
|
| gptkbp:influences |
mathematical practice
|
| gptkbp:is_a_form_of |
metaphysical realism
|
| gptkbp:is_a_foundational_view_in |
gptkb:Mathematics
|
| gptkbp:is_a_philosophical_approach_that |
seeks to explain mathematical truth
seeks to understand the nature of mathematical existence |
| gptkbp:is_a_philosophical_position_that |
mathematics is a reflection of the structure of reality
mathematics is a reflection of reality |
| gptkbp:is_a_philosophical_stance_that |
mathematical objects are real
mathematics is objective |
| gptkbp:is_a_philosophical_view_that |
mathematics is about discovering truths about abstract entities
|
| gptkbp:is_a_subject_of |
cognitive science
epistemology debate among philosophers |
| gptkbp:is_a_view_that |
mathematical objects are timeless
mathematical truths are universal |
| gptkbp:is_associated_with |
gptkb:Plato
|
| gptkbp:is_challenged_by |
the problem of access to abstract objects
|
| gptkbp:is_characterized_by |
the belief in abstract mathematical objects
|
| gptkbp:is_compared_to |
mathematical nominalism
|
| gptkbp:is_critiqued_by |
mathematical constructivism
its reliance on abstract entities |
| gptkbp:is_discussed_in |
philosophy of mathematics
philosophers of mathematics |
| gptkbp:is_explored_in |
academic literature
|
| gptkbp:is_linked_to |
the existence of numbers
|
| gptkbp:is_often_associated_with |
the idea of universals
|
| gptkbp:is_often_compared_to |
formalism
mathematical realism |
| gptkbp:is_often_described_as |
Platonism in mathematics
|
| gptkbp:is_recommended_by |
mathematical statements are objectively true
|
| gptkbp:is_related_to |
abstract objects
|
| gptkbp:position |
the ontology of mathematics
|
| gptkbp:proposed_by |
mathematical objects exist independently of human thought
|
| gptkbp:theory |
the existence of mathematical entities
mathematical entities are not physical objects mathematical objects exist in a realm of forms mathematical truths are not invented by humans mathematical truths are discovered through reasoning mathematical entities exist in a non-physical realm mathematical entities are discovered through intuition mathematical objects are independent of human minds |
| gptkbp:viewpoint |
the nature of mathematics
mathematical entities are not subject to change mathematical knowledge is about abstract objects mathematics is a discovery of eternal truths mathematics is a discovery of truths mathematics is a universal language |
| gptkbp:was_a_response_to |
mathematical anti-realism
|
| gptkbp:bfsParent |
gptkb:Kurt_Gödel
gptkb:Russell's_Philosophy_of_Mathematics |
| gptkbp:bfsLayer |
5
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