In logic, soundness refers to a property of either arguments or formal deductive systems. An argument is sound if it is both valid in form and contains no false premises. A formal system is sound, under the soundness theorem, when every well-formed formula provable in the system is logically valid relative to the system's logical semantics; the first property applies mainly to introductory deductive reasoning, while the second belongs to metalogic and mathematical logic. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
Classification
Statement FormCharacterization Theorem 1 Connections
Has Statement Form
Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
In Branch
Source Soundness (Wikipedia)
Sources
1. Soundness (Wikipedia)
In Branch: Logic and Foundations, Lead sentenceQuote, In Branch: Logic and Foundations, Lead sentence
In logic, soundness can refer to either a property of arguments or a property of formal deductive systems.
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