Pinocchio paradox
Pinocchio paradox is a version of the liar paradox. Pinocchio’s sentence ‘My nose grows now’ is not true or false. The paradox was proposed in February 2001 by 11-year-old Veronique Eldridge-Smith. It raises a purely logical issue for any metal–hierarchy solution.
About Pinocchio paradox in brief
Pinocchio paradox is a version of the liar paradox. Pinocchio’s sentence ‘My nose grows now’ is not true or false. The paradox was proposed in February 2001 by 11-year-old Veronique Eldridge-Smith. It raises a purely logical issue for any metal–hierarchy solution, so it is not going to arise in our world. It is a counterexample to solutions to the Liar that would exclude semantic predicates from an object–language, because \”is growing\” is not a semantic predicate. A metal-hierarchical approach to the paradox cannot explain this based on Tarski’s analysis, therefore cannot solve the paradox. It seems though that there could be a logically possible world in which he is saying something not true. However, there cannot be such a world wherein he makes the statement he is growing if and only if he is not growing, which makes his sentence to be ‘a version of Liar’ The paradox can only be solved if he says ‘I am getting sick’ instead of ‘I will be growing’ or in future tense: ‘will be growing’, which is not the same as ‘will grow’ or ‘will not grow’, which are synonyms for ‘will’ and ‘won’t grow’ The sentence is a special case because it has no semantic predicate, as for example ‘My sentence is false’ does.
The Pinocchi paradox has nothing to do with PinOCchio being a known liar. The sentence could be either true or true, but it is only this and only this sentence that creates the Pinocchy paradox. The present tense of the same sentence could provide a better opportunity to generate the liar Paradox. Assume the sentence: \”My nose growing now\” is true: Assume ‘My nose grow now’ is false: “My nose is growing now” is true, and so on without end. In the novel, Pinocchio’s nose continues to grow as he lies.
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This page is based on the article Pinocchio paradox published in Wikipedia (as of Dec. 24, 2020) and was automatically summarized using artificial intelligence.
