konsistenten

Konsistenten is a term used in logic, philosophy and information science to describe the property of a system, theory, or dataset that does not contain a contradiction. In a konsistenten body of statements, it is not possible for both a statement and its negation to be true or derivable at the same time.

Formal notions of konsistenten distinguish between syntactic and semantic perspectives. Syntactic consistency means that no contradiction can be derived from the axioms using the rules of the formal system. Semantic consistency means there exists at least one interpretation or model in which all stated propositions are true. In classical logic, a theory is konsistenten if these conditions hold; in contrast, inconsistent theories allow some contradictions, though they may lead to logical explosion unless special logics are used.

In practice, maintaining konsistenten data and theories is central in fields such as knowledge representation, database design, and software specification. Constraints, integrity rules, version control, and validation procedures help prevent contradictory information from entering a knowledge base. For example, records should not simultaneously indicate that a user is both an admin and not an admin, under the same conditions.

Related concepts include consistency preservation, non-contradiction, and satisfiability. In more permissive logical frameworks, such as paraconsistent logics, certain contradictions can be tolerated without collapsing all reasoning, but these are typically described as non-konsistenten in the classical sense. The study of konsistenten touches on foundational questions about how we represent knowledge and reason reliably under uncertainty.