##  [Transfer Principle](/transfer-principle) 

  ##  [Transfer Principle](https://mathlogic.quantumdictionary.io/transfer-principle-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 & Formal Sciences -

**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A schema that asserts certain formulas (typically of a specified syntactic class, often first‑order) hold in an extended or nonstandard structure exactly when the corresponding formulas hold in the original structure, permitting the transfer of truths between them.