 ##  [Deductive System](/index.php/deductive-system) 

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

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/index.php/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A formal apparatus consisting of a formal language together with a set of axioms (or axiom schemata) and inference rules that determine which sequences of formulas count as valid derivations from premises to conclusions.