= Burali-Forti paradox
{wiki=Burali-Forti_paradox}
The Burali-Forti paradox is a set-theoretical paradox that arises in the context of ordinal numbers. It was discovered by the Italian mathematician Cesare Burali-Forti in 1897. The paradox demonstrates a contradiction that arises when attempting to construct the set of all ordinals. In brief, the paradox proceeds as follows: 1. **Definition of Ordinals**: Ordinal numbers are a generalization of natural numbers used to describe the order type of well-ordered sets.
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