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What is the cardinality foreach of the sets a) Ø b) {Ø} c){Ø,{Ø}} d){Ø,{ Ø},{Ø,{Ø}}}?

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What is the cardinality foreach of the sets a) Ø b) {Ø} c){Ø,{Ø}} d){Ø,{ Ø},{Ø,{Ø}}}?

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  1. a) zero

    b) one

    c) two (the members are the empty set and a set with one element (which happens to be the empty set))

    d) three (the members are the empty set, a set containing the empty set and a set with two elements (those being the empty set and a set containing the empty set))

    It takes some practice to readily sort out all the commas and brackets.  Try drawing circles around the members.

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