Linked from

The 23 pages that link to Soundness, each with the reason it gives.

• Deductive reasoningRelated: Soundness adds true premises to the validity required for successful deduction.

• AxiomRelated: Soundness connects derivations from axioms to truth in their models.

• Rule of inferenceRelated: Soundness ensures the system's inference rules do not derive invalid conclusions.

• Classical logicRelated: Soundness connects classical derivations to truth under their semantics.

• Logical consequenceRelated: Soundness ensures derivations preserve semantic consequence.

• PremiseRelated: A sound argument requires both valid structure and true premises.

• ArgumentRelated: Soundness combines valid structure with premises that accurately describe the world.

• Formal logicRelated: Soundness guarantees that the system's proof rules preserve truth.

• ConclusionRelated: Soundness establishes that a valid argument’s conclusion is true.

• CompletenessCompared with: Soundness gives the reverse implication: proofs yield semantic consequences.

• Consistency proofCompared with: Soundness can establish consistency when the system’s semantics are themselves consistent.

• Independence (mathematical logic)Compared with: A sentence can be independent even when the theory is sound; nonprovability alone does not settle truth.

• Program verificationRelated: A sound verification method ensures its proofs do not certify false claims, assuming its foundations hold.

• Abstract interpretationRelated: A sound analysis must not omit concrete behaviors when approximating them.

• DemonstrationRelated: Soundness adds truth of premises to the validity required for a conclusive demonstration.

• Logical formRelated: Soundness combines formal validity with the truth of an argument's actual premises.

• Logical validityRelated: Soundness combines validity with a separate requirement about premise truth.

• Axiomatic systemRelated: Soundness ensures that derivations do not establish semantically invalid conclusions.

• Deductive systemRelated: Soundness guarantees that the system's rules do not derive false consequences from valid premises.

• Circular reasoningCompared with: A valid inference can still fail to establish its conclusion when its premises assume it.

• Formal fallacyRelated: Soundness separates structural validity from whether an argument’s premises are actually true.

• Informal fallacyRelated: Soundness shows why truth of premises matters beyond formal validity.

• Monotonicity of entailmentRelated: Soundness concerns agreement between proof and meaning; monotonicity concerns premise-set extension.