##  [Cantor Diagonalization](/cantor-diagonalization) 

  ##  [Cantor Diagonalization](https://natural.quantumdictionary.io/cantor-diagonalization-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/topic-specific-dictionaries/natural-formal-sciences)



**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A constructive method that, given a purported list (sequence) of objects represented by indexed entries, produces a new object by altering the diagonal entries so that the new object differs from every listed object; commonly used to prove uncountability of sets and to exhibit objects not captured by any effective enumeration.