 ##  [Ordinal Analysis](/ordinal-analysis) 

  ##  [Ordinal Analysis](https://mathlogic.quantumdictionary.io/ordinal-analysis-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

A proof-theoretic method that assigns well-ordered ordinals or ordinal notations to formal theories to measure their consistency strength, inductive/combinatorial complexity, and the strength of their transfinite induction principles.