 ##  [Hilbert System](/hilbert-system) 

  ##  [Hilbert System](https://mathlogic.quantumdictionary.io/hilbert-system-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

An axiomatic proof framework that establishes derivations by applying a small fixed set of axiom schemata together with modus ponens (and often substitution) as primary inference rules, emphasizing compact axiomatisation over granular rule meaning.