##  [Imaginary Element](/imaginary-element) 

  ##  [Imaginary Element](https://mathlogic.quantumdictionary.io/imaginary-element-0) 

  

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**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An imaginary element is an equivalence class of tuples under a definable equivalence relation, treated as a new element in the imaginary expansion M^eq of a structure; imaginaries allow quotients by definable relations to be handled as genuine sorts.