Resolving the Liar’s Paradox
Perhaps the most famous and persistent paradox of all time is the “Liar’s Paradox”. Whenever somebody tries to prove paradoxes are real, it’s almost inevitable that the following sentence will appear:
“This sentence is false.”
Sounds simple, but think about. Is this proposition true or false?
If “This sentence is false” is true, then the sentence must be false, because the sentence is claiming it’s false.
If “This sentence is false” is false, then it must be true, because the proposition is claiming “this sentence is false” is false. But, then again, if it’s actually true, then it must be false… which would mean it’s actually true.
You get the point.
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