Definition Of The Complement Of A Set

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SUMMARY

The complement of a set is defined as {x ∈ U | x /∈ A}, where U is the universal set and A is the subset. An alternative notation proposed is (x | x ∈ U ∧ x ∉ A), which conveys the same meaning. Both definitions are valid and express the same mathematical concept, emphasizing the elements in the universal set that are not part of set A. The discussion confirms that while notation may vary, the underlying definition remains consistent.

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Bashyboy
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Hello, my book defines the complement of a set like so: {x ∈ U | x /∈ A}

To me, it seems like the definition should be (x| x \in U \wedge x \notin A)

Which is more proper?
 
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They both say exactly the same thing.
 
Okay, thank you.
 

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