This is Why Sets are Hot

“This is why I’m hot. I’m hot ‘cos I’m fly, you ain’t ‘cos you not. This is why, this is why — this is why I’m hot.” — MIMS

Mindless lyrics? Yes. Got some lines reppin’ the West Coast? Yup. Really catchy for no apparent reason? Also yes. Excellent way to probe logical relationships using set notation? (hat tip to A. Chandrasekhar). Hell yeah.

The full set of diagrams and flow charts are at the link, but let’s highlight the analysis on the first verse (the one I’ve highlighted above):

The most amazing line in “This Is Why I’m Hot”—and, even at this early a juncture, quite possibly the most amazing line of any song to see release in 2007—is “I’m hot ’cause I’m fly/You ain’t ’cause you not.” Brutal and unassailable in its simplicity. Consider the reasoning, first, of just “I’m hot ’cause I’m fly”

 

Mims is hot because he’s fly. But it raises the question: Does being hot guarantee one’s being fly? “You ain’t ’cause you not” would seem to clear that up:

It would appear that fly and hot are interchangeable. If you are one, you are both; if you aren’t at least one, you are neither.

If you find completely overlapping Venn diagrams visually unhelpful, consider this tautology:

If that’s a bit pretentious, then maybe a blunt flowchart works best:

More wonderfully insightful (read: someone was bored and thought this would be amusing to do) goodies at the link.