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March 15th, 2017, 07:10 PM   #1
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Unhappy Sets (cardinality)

What is meant by odd and even cardinality in set theory. What are formulas to use them?

Last edited by skipjack; August 7th, 2017 at 11:23 PM.
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August 7th, 2017, 11:24 PM   #2
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August 8th, 2017, 05:29 PM   #3
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I presume the terms refer only to sets with finite number of elements.
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September 1st, 2017, 09:42 AM   #4
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For finite sets, the "cardinality" is just the number of elements in the set. A set has even cardinality if it contains an even number of elements and has odd cardinality if it contains an odd number of elements. {a, b, c} has three elements so has odd cardinality. {a, b, c, d} has four elements so has even cardinality.
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