# Definition:Class of Infinite Cardinals

Jump to navigation
Jump to search

## Definition

The **class of infinite cardinals** is the class of all infinite cardinals.

That is:

- $\NN' = \NN \setminus \omega$

## Also known as

This concept is also seen referred to as the **infinite cardinal class**, but this can be misconstrued as the class of cardinals which is itself infinite.

## Sources

- 1971: Gaisi Takeuti and Wilson M. Zaring:
*Introduction to Axiomatic Set Theory*: $\S 10.42$