The Sentence That Says It Is False
Written by Studio AM.
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Consider this sentence: “This sentence is false.” If it is true, then what it says must hold, so it is false. If it is false, then its claim of being false seems true.
This puzzle is called the liar paradox. It uses self-reference: the sentence points back to itself. Ordinary true-or-false labels seem to chase each other in a circle. Neither label settles quietly at once, because each one immediately invites its opposite.
Philosophers and logicians offer different responses. Some limit which sentences can speak about their own truth. Others use systems with more than two truth values. The puzzle matters because it shows that simple-looking language can strain the rules used to evaluate it.
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Questions
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Question 1 of 4
What is the main idea of the passage?
The answer is B: The liar paradox shows how a self-referential sentence can resist an ordinary choice between true and false.
The opening creates the truth-value loop, and later paragraphs name self-reference and varied responses.
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Question 2 of 4
Why do the labels chase each other in a circle?
The answer is C: Calling it true makes it false, and calling it false seems to make it true.
The first paragraph demonstrates the reversal under either starting label.
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Question 3 of 4
What does “self-reference” mean here?
The answer is D: language that refers back to itself
The second paragraph directly defines self-reference as the sentence pointing to itself.
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Question 4 of 4
What do some logical systems add?
The answer is A: more than two truth values
The final paragraph identifies additional truth values as one family of response.
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