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wedrifid comments on Unsolved Problems in Philosophy Part 1: The Liar's Paradox - Less Wrong
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Nice example. To follow up:
Next, Omega places two boxes in front of you. One carries the label "The label on the other box contains a true sentence". The label on the other box reads "The label on the other box contains a false sentence". You are told that the box(es) without false labels contain $1,000,000, whereas the box(es) with false labels are boobytrapped. It is conceivable that the labels are meaningless - therefore not false. It is also conceivable that the labels are both true and false - contradictory, but paraconsistent.
Do you open the boxes?
Quadratic equations are relatively clear-cut.
A good follow up. My response is no Omega didn't. The very nature of Omega prohibits writing such things. If someone gave you that problem it was someone other than Omega.
OH NO HE DI'INT