2013-03-03
Explanation
This comic takes the well-known saying "If you're not part of the solution, you're part of the problem" and applies formal logic to it. The statement is expressed in symbolic logic as "not-S implies P" (if not solution, then problem). The comic then correctly applies the law of contraposition -- a fundamental rule in propositional logic which states that "if A then B" is logically equivalent to "if not-B then not-A." This transforms the original statement into "if not-P then S," or: "If you're not part of the problem, you're part of the solution."
The punchline shows a man sitting on a couch doing absolutely nothing while his partner scolds him for being lazy all day. He triumphantly declares, "I'm helping solve the race problem!" His logic is technically valid: since he did nothing, he's clearly not part of the problem, and therefore by contraposition, he must be part of the solution.
The humor lies in the gap between logical validity and practical reality. The contrapositive is indeed logically equivalent to the original statement, but the original saying was never meant as a rigorous logical claim -- it was a motivational call to action. By treating it as formal logic, the man finds a loophole that lets him claim moral credit for total inaction. It's a sharp satire of how logical reasoning can be weaponized to justify laziness, and how rhetorical slogans fall apart when subjected to actual logical scrutiny.