Card Paradox
From BurnZero
Revision as of 00:32, 20 August 2022 by WikiSysop (talk | contribs) (Created page with "Suppose there is a card with statements printed on both sides: {| class="wikitable" |'''Front:''' |The sentence on the other side of this card is True. |- |'''Back:''' |The sentence on the other side of this card is False. |} Trying to assign a truth value to either of them leads to a paradox. # If the first statement is true, then so is the second. But if the second statement is true, then the first statement is false. It follows that if the first statement is true, th...")
Suppose there is a card with statements printed on both sides:
| Front: | The sentence on the other side of this card is True. |
| Back: | The sentence on the other side of this card is False. |
Trying to assign a truth value to either of them leads to a paradox.
- If the first statement is true, then so is the second. But if the second statement is true, then the first statement is false. It follows that if the first statement is true, then the first statement is false.
- If the first statement is false, then the second is false, too. But if the second statement is false, then the first statement is true. It follows that if the first statement is false, then the first statement is true.
The same mechanism applies to the second statement. Neither of the sentences employs (direct) self-reference, instead this is a case of circular reference. Yablo's paradox is a variation of the liar paradox that is intended to not even rely on circular reference.
This is one of the simplest examples of framing.