What does burali-forti paradox mean?
Definitions for burali-forti paradox
bu·rali-for·ti para·dox
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Wiktionary
Burali-Forti paradoxnoun
The following paradox: Let L be the set of all ordinal numbers. This set is well-ordered, so it has an ordinal number . Since L is the set of all ordinal numbers, L contains . But is equal to the well-ordered set of all ordinal numbers smaller than . Thus, L is order isomorphic to one of its proper subsets, a contradiction.
Wikipedia
Burali-Forti paradox
In set theory, a field of mathematics, the Burali-Forti paradox demonstrates that 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, in 1897, published a paper proving a theorem which, unknown to him, contradicted a previously proved result by Cantor. Bertrand Russell subsequently noticed the contradiction, and when he published it in his 1903 book Principles of Mathematics, he stated that it had been suggested to him by Burali-Forti's paper, with the result that it came to be known by Burali-Forti's name.
Wikidata
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.
Numerology
Chaldean Numerology
The numerical value of burali-forti paradox in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of burali-forti paradox in Pythagorean Numerology is: 3
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"burali-forti paradox." Definitions.net. STANDS4 LLC, 2024. Web. 17 Apr. 2024. <https://www.definitions.net/definition/burali-forti+paradox>.
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