# Burali-Forti paradox

> paradox demonstrating that the class of all ordinal numbers Ω cannot be a set, since if it were, it would be an ordinal, thus an element of itself, and thus less than itself, which is a contradiction

**Wikidata**: [Q1010269](https://www.wikidata.org/wiki/Q1010269)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Burali-Forti_paradox)  
**Source**: https://4ort.xyz/entity/burali-forti-paradox


## References

1. Freebase Data Dumps. 2013
2. Quora