![]() 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. Variant of the liar paradox Pinocchio paradox causes Pinocchio's nose to grow if and only if it does not grow.
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