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Yesterday’s #SB5 conflict is an opportunity to talk about the algebra of sets. (Commonly understood through Venn diagrams.)

http://api.ning.com/files/p6R5OhkiVDBcmEzX841dbhLKxY3D9V44AZx*59PqE2CW5Y4azhNcRaG37F65Wu-OBRzSfiAHUCWMmFGbRBhMBZ**lZT5yNjH/stephenwildish04.jpg

The algebra of sets is the way ∪, ∩, , and some composite operations work. These words are useful for reminding yourself to logically separate things that are logically separate.

The relative complement of A (left circle) in B (right circle):
A^c \cap B~~~~=~~~~B \smallsetminus A

For example:

  • Not all feminists are women.
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    Feminist ∩ ∁{Woman}
  • Not all women are pro-choice.
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    ∁{Pro-Choice} ∩ Woman

Sets can overlap in different ways.

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  9. spanielfortwo said: Unfortunately, not all mathematicians are pro Choice …
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