completeness

• Substantiv, das den Zustand bezeichnet, vollständig, ganzheitlich und ohne fehlende Teile zu sein; in der Logik beschreibt es ein System, dem kein Satz hinzugefügt werden kann, ohne einen Widerspruch zu erzeugen.

A noun referring to the state of being whole, entire, and having all necessary parts; in logic, it describes a system where no proposition can be added without causing a contradiction.

unzählbar

1. State of being wholeB2formal

   The condition of having all necessary parts, elements, or steps; the quality of being entire and finished.

   Vollständigkeit

   • The completeness of the report was praised by the committee.
   • We need to ensure the completeness of the data before analysis.
   • The artist aimed for completeness in every detail of the sculpture.

   Synonymeentiretyfullnessintegralitytotalitywholeness

   Antonymeinadequacyincompletenesspartialness

2. Logical completenessC1formalscientific

   In logic, a property of a formal system where every true statement can be proven within the system, and adding any unprovable proposition leads to a contradiction.

   Vollständigkeit

   • Gödel's incompleteness theorems challenge the notion of completeness in formal systems.
   • The mathematician proved the completeness of the axiomatic system.
   • Completeness is a key concept in mathematical logic and model theory.