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There is a page named "Successor cardinal" on Wikipedia

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  • define a successor operation on cardinal numbers in a similar way to the successor operation on the ordinal numbers. The cardinal successor coincides...
    4 KB (564 words) - 06:38, 6 March 2024
  • program Successor (EP), an EP by Sonata Arctica Successor (album), an album by Dedekind Cut A successor cardinal A successor ordinal The successor function...
    2 KB (218 words) - 22:30, 25 March 2024
  • Thumbnail for Cardinal number
    a cardinal number, or cardinal for short, is what is commonly called the number of elements of a set. In the case of a finite set, its cardinal number...
    26 KB (3,808 words) - 01:08, 27 April 2024
  • with respect to the order topology. Ordinal arithmetic Limit ordinal Successor cardinal Cameron, Peter J. (1999), Sets, Logic and Categories, Springer Undergraduate...
    2 KB (288 words) - 19:08, 18 July 2023
  • characterization of computability by recursive functions. Successor ordinal Successor cardinal Increment and decrement operators Sequence Steffen, Bernhard;...
    3 KB (389 words) - 13:27, 27 March 2024
  • mathematics, limit cardinals are certain cardinal numbers. A cardinal number λ is a weak limit cardinal if λ is neither a successor cardinal nor zero. This...
    6 KB (855 words) - 21:31, 26 December 2021
  • Thumbnail for Cardinal (Catholic Church)
    resignation and the election of his successor, the day-to-day governance of the Holy See is in the hands of the College of Cardinals. The right to participate in...
    76 KB (8,147 words) - 10:44, 18 August 2024
  • Thumbnail for Aleph number
    Aleph number (category Cardinal numbers)
    smaller cardinals. To define ℵα for arbitrary ordinal number α, we must define the successor cardinal operation, which assigns to any cardinal number ρ...
    16 KB (1,960 words) - 12:52, 27 August 2024
  • Thumbnail for Francis George
    as did some who had served with him, including Cardinal Timothy Dolan of New York City (his successor as USCCB President) and Archbishop Wilton Gregory...
    50 KB (4,929 words) - 10:49, 3 July 2024
  • Thumbnail for Juan Jesús Posadas Ocampo
    letter to keep his word and to see the case be solved. Posadas's successor, Cardinal Juan Sandoval, is convinced the murder was politically motivated...
    11 KB (1,006 words) - 01:27, 7 August 2024
  • is a successor cardinal or a limit cardinal. Some cardinalities cannot be proven to be equal to any particular aleph, for instance the cardinality of the...
    9 KB (1,419 words) - 23:38, 5 August 2024
  • ordinal, so it could be either a successor cardinal or a limit cardinal, and either a regular cardinal or a singular cardinal. A great many sets studied in...
    16 KB (2,373 words) - 14:10, 10 July 2024
  • Thumbnail for Pope Celestine III
    Pope Celestine III (category 12th-century Italian cardinals)
    else since the College of cardinals were against it. He placed Pisa under an interdict, which was lifted by his successor, Innocent III in 1198. Celestine...
    9 KB (844 words) - 08:01, 12 May 2024
  • larger than all finite numbers. These include the transfinite cardinals, which are cardinal numbers used to quantify the size of infinite sets, and the...
    10 KB (1,230 words) - 01:37, 12 June 2024
  • Thumbnail for Henry, King of Portugal
    him that release. The Cardinal-King died in the Royal Palace of Almeirim, on his 68th birthday, without having appointed a successor, leaving only a regency...
    10 KB (721 words) - 22:25, 23 August 2024
  • Ramsey, etc.), it is consistent with ZF that a measurable cardinal can be a successor cardinal. It follows from ZF + AD that ω1 is measurable, and that...
    15 KB (1,774 words) - 14:30, 10 July 2024
  • Thumbnail for Cardinal Richelieu
    Louis XIII's successor, King Louis XIV. He continued Richelieu's work of creating an absolute monarchy; in the same vein as the cardinal, he enacted policies...
    62 KB (6,981 words) - 02:40, 21 August 2024
  • King of Prussia William I as a de facto figurehead. Cardinal Richelieu and his successor Cardinal Mazarin, de facto rulers of France during the reign...
    12 KB (1,396 words) - 17:00, 1 August 2024
  • Thumbnail for Musketeers of the Guard
    was founded to report to Cardinal Richelieu. At the cardinal's death in 1642, the company passed to his successor Cardinal Mazarin, who disbanded his...
    7 KB (651 words) - 17:57, 4 March 2024
  • Thumbnail for Giovanni Battista Re
    2010. As the senior cardinal-bishop in attendance, he chaired the March 2013 papal conclave to elect Pope Benedict XVI's successor. Pope Francis approved...
    27 KB (2,342 words) - 11:24, 24 July 2024
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