Burali-Forti Paradox

In set theory, a field of mathematics, the Burali-Forti paradox demonstrates that naïvely constructing "the set of all ordinal numbers" leads to a contradiction and therefore shows an antinomy in a system that allows its construction. It is named after Cesare Burali-Forti, who discovered it in 1897.

Read more about Burali-Forti Paradox:  Stated in Terms of Von Neumann Ordinals, Stated More Generally, Resolution of The Paradox

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