 ##  [Canonical Parameter](/canonical-parameter) 

  ##  [Canonical Parameter](https://mathlogic.quantumdictionary.io/canonical-parameter-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A canonical parameter for a definable set or formula is an element (typically an imaginary in M^eq) that serves as a distinguished name encoding that definable object so that definability and automorphism invariance of the object correspond to first‑order properties of the parameter.