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How, if at all, is the following paradox resolved?
You hand someone a card.
On one side is printed "The statement on the other side of this card is true."
On the other side is printed, "The statement on the other side of this card is false."
Thanks for consideration!

You've asked about one version of an ancient paradox called the "Liar paradox" or the "Epimenides paradox." One good place to start looking, then, is the SEP entry on the Liar paradox, available here . Philosophers are all over the map on how to solve paradoxes of this kind, and their proposed solutions are sometimes awfully complicated! Best of luck.

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