When1: 1897
Who: Cesare Burali-Forti [Burali-Forti, Cesare]
What: mathematician
Where: Italy
works\ Question about Transfinite Numbers [1897]
Detail: He lived 1861 to 1931. Ordinal numbers are well-ordered by definition. Ordinal-number sets must then have a greatest ordinal number. However, the set can be infinite and not have greatest ordinal number. Therefore, infinite ordinal-number sets cannot exist {Burali-Forti paradox}. Ordinal-number sets are higher-ordinal-number-set subsets.
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Date Modified: 2022.0224