 ##  [Meta-Logic](/meta-logic) 

  ##  [Meta-Logic](https://mathlogic.quantumdictionary.io/meta-logic-0) 

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

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

The formal study of the properties of logical systems as objects of investigation: their syntax, semantics, proof transformations, decidability, completeness, compactness, and other metalogical theorems that are stated about whole systems rather than individual formulas.