Pinocchio's nose does not grow now because Pinocchio's nose grows now, and Pinocchio falsely says it grows now, and it is false, that makes Pinocchio's sentence true, but then.Pinocchio's nose does grow now because according to the novel it grows only as Pinocchio lies, but then.Which means that Pinocchio's nose does grow now because he falsely says it is, but then.Pinocchio's nose does not grow now because Pinocchio's nose grows now, and Pinocchio truthfully says it grows now, and it is true that makes Pinocchio's sentence true, but thenĪssume the sentence: "My nose grows now" is false:.Pinocchio's nose grows now because Pinocchio's nose does not grow now, and Pinocchio truthfully says it grows now, and it is false, that makes Pinocchio's sentence to be false, but then.Pinocchio's nose does not grow now because according to the novel it grows only as Pinocchio lies, but then.Which means that Pinocchio's nose does not grow now because he truthfully says it is, but then.The sentence "My nose grows" could be either true or false.Īssume the sentence: "My nose grows now" is true: The present tense of the same sentence "My nose is growing now" or "My nose grows", appears to provide a better opportunity to generate the liar paradox. In the novel, Pinocchio's nose continues to grow as he lies: "As he spoke, his nose, long though it was, became at least two inches longer." So logicians question if the sentence "My nose will be growing" was the only sentence that Pinocchio spoke, did he tell a lie before he said "My nose will be growing", or was he going to tell a lie-and how long would it take for his nose to start growing? The paradox suggested by Veronique, "My nose grows now", or in future tense: "will be growing", leaves room for different interpretations. The article was published in the journal Analysis, and the Pinocchio paradox became popularized on the Internet. In a few minutes, Veronique suggested: "Pinocchio says, 'My nose will be growing'." Eldridge-Smith liked the formulation of the paradox suggested by his daughter and wrote an article on the subject. Peter Eldridge-Smith explained the liar paradox to Veronique and Veronique's older brother and asked the children to come up with their own versions of the famous paradox. Veronique is the daughter of Peter Eldridge-Smith, who specializes in logic and the philosophy of logic. The Pinocchio paradox was proposed in February 2001 by 11-year-old Veronique Eldridge-Smith. It grows as he tells lies and at one point grows so long that he can not even get his nose "through the door of the room". There are no restrictions on the length of Pinocchio's nose. Pinocchio, an animated puppet, is punished for each lie that he tells by undergoing further growth of his nose.
Pinocchio is a hero of the 1883 children's novel The Adventures of Pinocchio by Italian author Carlo Collodi. If Pinocchio were to say "I am getting tired," this could be either true or false, but Pinocchio's sentence "My nose grows now" can be neither true nor false hence this and only this sentence creates the Pinocchio (liar) paradox. The Pinocchio paradox has nothing to do with Pinocchio being a known liar. Although the Pinocchio paradox belongs to the liar paradox tradition, it is a special case because it has no semantic predicates, as for example "My sentence is false" does. This occurs because if the statement "This sentence is false" is true, then it is false this would mean that it is technically true, but also that it is false, and so on without end. The liar paradox is defined in philosophy and logic as the statement "This sentence is false." Any attempts to assign a classical binary truth value to this statement lead to a contradiction, or paradox. The Pinocchio paradox arises when Pinocchio says "My nose grows now" and is a version of the liar paradox. Pinocchio paradox causes Pinocchio's nose to grow if and only if it does not grow.
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