Mathematical Truth

GPTKB entity

Statements (50)
Predicate Object
gptkbp:instanceOf gptkb:philosophy
gptkbp:concerns gptkb:Proof
Objectivity
Axioms
Consistency
Validity of mathematical statements
gptkbp:contrastsWith Empirical truth
Moral truth
Religious truth
Scientific truth
gptkbp:debatedBy gptkb:Alfred_Tarski
gptkb:Bertrand_Russell
gptkb:David_Hilbert
gptkb:Kurt_Gödel
gptkb:Ludwig_Wittgenstein
Objectivity vs subjectivity
Discovery vs invention
Role of axioms
Role of completeness
Role of computation
Role of consistency
Role of formal systems
Role of intuition
Role of language
Role of models
Role of proof
gptkbp:discusses gptkb:Platonism
gptkb:Intuitionism
gptkb:Logicism
gptkb:Formalism
gptkbp:hasAspect Absolute truth
Constructive truth
Relative truth
Semantic truth
Syntactic truth
https://www.w3.org/2000/01/rdf-schema#label Mathematical Truth
gptkbp:influencedBy gptkb:Gödel's_incompleteness_theorems
gptkb:Tarski's_undefinability_theorem
gptkb:logic
gptkb:Set_theory
Model theory
Proof theory
gptkbp:relatedTo gptkb:Mathematics
gptkb:logic
gptkbp:studiedIn gptkb:Metaphysics
gptkb:logic
gptkb:Epistemology
gptkb:Philosophy_of_logic
gptkbp:bfsParent gptkb:Paul_Benacerraf
gptkbp:bfsLayer 5