The set of all boyfriend points

My boyfriend is cooking dinner tonight. He said he is trying to get boyfriend points (although he cooks 50% of all dinners in our two-person household anyway). I assured him that there are no boyfriend points to be had, because he already has all of them (being a fantastic boyfriend). But (being also a mathematician) he immediately started to worry (aloud) about whether the set of all boyfriend points is, in fact, the empty set…

  

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