So far we have seen two different infinite cardinalities and how they compare. We natu- rally wonder if there are any other infinite cardinalities besides these two. We formalize a little more set theory for this analysis. We define the empty set to be the set which contains no elements. The empty set is denoted by Ø or { }. The empty set is considered to be a subset of any given set. Find all subsets of A = {1,2, 3}.

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22. So far we have seen two different infinite cardinalities and how they compare. We natu-
rally wonder if there are any other infinite cardinalities besides these two. We formalize
a little more set theory for this analysis. We define the empty set to be the set which
contains no elements. The empty set is denoted by Ø or { }. The empty set is considered
to be a subset of any given set. Find all subsets of A = {1, 2, 3}.
Transcribed Image Text:22. So far we have seen two different infinite cardinalities and how they compare. We natu- rally wonder if there are any other infinite cardinalities besides these two. We formalize a little more set theory for this analysis. We define the empty set to be the set which contains no elements. The empty set is denoted by Ø or { }. The empty set is considered to be a subset of any given set. Find all subsets of A = {1, 2, 3}.
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