provability
Capacity for demonstration
Provability is the quality of being capable of proof.
In mathematics and logic, provability concerns whether a statement can be derived from axioms using formal rules: Gödel's theorems revealed surprising limits on provability within arithmetic.
More broadly, it describes how readily something can be demonstrated or verified: The provability of his claims remained in question.
Demonstrated logical conclusion
- lemmaBase form, or helper theorem
- corollaryLogical natural consequence
- proofDemonstration of truth
- axiomSelf-evident starting principle
deduction · induction · conjecture · demonstration · derivation · constructivism · intuitionism · rigor
Proving something accurate
- substantiationProof of truth
- corroborationEvidence confirming another account
- documentationWritten proof or instructions
- authenticationConfirming genuine identity
validation · confirmation · demonstration · testimony · attestation · certification · proof · support
Demonstrated logical conclusion
- axiomSelf-evident starting principle
- soundnessReliability of structure
- completenessState of being whole
- incompletenessState of lacking parts
consistency · validity · deduction · inference · proposition · syllogism · contradiction · tautology
Total absence of doubt
- demonstrabilityQuality of being verifiable
- verifiabilityCapacity for independent confirmation
- falsifiabilitySusceptibility to disproof
- justificationReason proving rightness
knowledge · belief · truth · conviction · confidence · warrant · grounds · undeniability
theorem
Demonstrated logical conclusion
axiom · deduction · induction · conjecture · demonstration · derivation · constructivism · intuitionism · rigor · formalization
verification
Proving something accurate
- substantiationProof of truth
- corroborationEvidence confirming another account
- documentationWritten proof or instructions
authentication · validation · confirmation · demonstration · testimony · attestation · certification · proof · support · establishment
theorem
Demonstrated logical conclusion
- axiomSelf-evident starting principle
- soundnessReliability of structure
- completenessState of being whole
incompleteness · consistency · validity · deduction · inference · proposition · syllogism · contradiction · tautology · predicate
certainty
Total absence of doubt
- demonstrabilityQuality of being verifiable
- verifiabilityCapacity for independent confirmation
- falsifiabilitySusceptibility to disproof
justification · knowledge · belief · truth · conviction · confidence · warrant · grounds · undeniability · conclusiveness
provabilityunverifiability
Cannot be proven true
unfalsifiability · inconclusiveness · indeterminacy · irrefutability · unknowability
provabilityfaith
Trust without proof
conjecture · speculation · assumption · belief · dogma
improve, prove, approval, approve, improvement, proven, approved, proved, proving