In Mathematics, the cardinality of a set is the number of elements it contains.
So the cardinality of {3, 7, 11, 15, 99} is 5.
The cardinality of {2, 4, 6, 8, 10, 12} is 6.
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That is all very well for finite sets. But many common sets are infinite: integers, rationals, reals.
The cardinality of all of these sets is infinity, but they are of two "levels" of infinity. Integers and rationals, for example have a cardinality of Aleph-null whereas irrationals and reals have a cardinality of aleph-one. It has been shown that there are no sets of cardinality between Aleph-null and Aleph-one.
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No. The empty set has cardinal number 0. {ø } has cardinal number 1.
Count the number of distinct elements in the set.
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The cardinal number of a set is the number of elements in the set. Example: the cardinal number of the set {6, prune, 675, biscuit, London} is 5, since the set contains five elements. If a set contains repeated elements, they should only be counted once. Example: the cardinal number of the set {6, 7, 3, 4, 4, 7} is 4 (not 6) since the fours and sevens are only counted once.
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George Cantor.
Roman Catholic AnswerI don't think that you can set these two in opposition, I think it would be the cardinal virtues AND the Our Father, not OR.
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No, since the statement is incomplete.
I feel like a better explanation is that the answer is 26. I assumed that you were asking for {x|x, as long as x is a letter of the alphabet}. The cardinal number is basically just the number of terms in the set (it has to be distinct).
The College of Cardinals has been pleased to have in its ranks illustrious names such as: 1) James Cardinal McIntyre, Cardinal Archbishop of Los Angeles 2) Ernesto Cardinal Ruffini, Cardinal Archbishop of Palermo 3) Francis Cardinal Spellman, Cardinal Archbishop of New York 4) Raphael Cardinal Merry del Val, Cardinal Secretary of State 5) Alfredo Cardinal Ottaviani, Cardinal Secretary of the Holy Office 6) Dennis Cardinal Dougherty, Cardinal Archbishop of Philadelphia 7) Samuel Cardinal Stritch, Cardinal Archbishop of Chicago 8) Edward Cardinal Mooney, Cardinal Archbishop of Detroit 9) Giuseppe Cardinal Siri, Cardinal Archbishop of Genoa 10) Manuel Goncalves Cardinal Cerejeira, Cardinal Patriarch of Lisbon 11) Pietro Cardinal Gasparri, Cardinal Secretary of State
The northern cardinal.