Does cardinality of a set refer to the number of elements it has?

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SUMMARY

The cardinality of a set definitively refers to the number of elements contained within that set. This concept applies universally, including finite and infinite sets, although the implications of cardinality differ for infinite sets. The discussion emphasizes that cardinality is not merely a reference to quantity but is the actual count of elements present.

PREREQUISITES
  • Understanding of set theory fundamentals
  • Familiarity with finite and infinite sets
  • Basic knowledge of mathematical notation
  • Concept of equivalence in sets
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  • Research the differences between finite and infinite cardinality
  • Explore Cantor's theorem on the cardinality of infinite sets
  • Learn about countable vs. uncountable sets
  • Study applications of cardinality in computer science and mathematics
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yakin
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Is cardnality of a set refers to the number of elements that set has?
 
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yakin said:
Is cardnality of a set refers to the number of elements that set has?
It does not only refer to the number of elements; it is that number. :) For infinite sets, though, it is more complicated.
 

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