Construct · 1 fields · 1 citations

Burali-Forti paradox: a standalone construct

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Logic

paradox that the collection of all ordinal numbers would itself be an ordinal larger than every ordinal, so it cannot be a set.

In logic, Burali-Forti paradox refers to paradox that the collection of all ordinal numbers would itself be an ordinal larger than every ordinal, so it cannot be a set. This meaning comes from Burali-Forti (1897) in Rendiconti del Circolo Matematico di Palermo.[1]

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Nearby constructs

ordinal2 fields · 2 citationsjingle · one word, two constructs paradox3 fields · 4 citationsjingle · one word, three constructs

References

Burali-Forti, C. (1897). Una questione sui numeri transfiniti. Rendiconti del Circolo Matematico di Palermo, 11(1), 154-164. https://doi.org/10.1007/bf03015911

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