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Pinocchio paradox causes Pinocchio's nose to grow if and only if it does not grow. The Pinocchio paradox arises when Pinocchio says "My nose grows now" and is a version of the liar paradox. [1] The liar paradox is defined in philosophy and logic as the statement "This sentence is false."
You should probably read the SEP entry on the Liar Paradox. Well, the liar paradox is that a statement like “This statement is false” seems to be both true and false. And it would seem that Pinocchio’s utterances of “My nose grows now” is both true and false. So, yes, they are paradoxes.
Jun 5, 2023 · One possible way to solve Pinocchio’s paradox is by saying that what Pinocchio stated was not a lie but a false prediction of the future. To give an example, if I said I would find an expensive...
Jun 25, 2009 · “My nose will grow now” is the only paradox Pinocchio can cause by saying something. For example, if he was to say, “I will sneeze now”, and he didn’t that would be a lie and his nose would grow.
- ACHILLES AND THE TORTOISE. The Paradox of Achilles and the Tortoise is one of a number of theoretical discussions of movement put forward by the Greek philosopher Zeno of Elea in the 5th century BC.
- THE BOOTSTRAP PARADOX. The Bootstrap Paradox is a paradox of time travel that questions how something that is taken from the future and placed in the past could ever come into being in the first place.
- THE BOY OR GIRL PARADOX. Imagine that a family has two children, one of whom we know to be a boy. What then is the probability that the other child is a boy?
- THE CARD PARADOX. Imagine you’re holding a postcard in your hand, on one side of which is written, “The statement on the other side of this card is true.”
The Solution. If Pinocchio's nose grows, G, if and only if he claims any falsehood then: ∀x: G ↔ C (x) ∧ ¬x. If Pinocchio's claim, x, is "my nose grows now" then the application of the above is: G ↔ C (G) ∧ ¬G. Pinocchio's nose grows if and only if his nose doesn't grow (and if he claims that his nose will grow).
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Jan 13, 2010 · The Pinocchio paradox raises a purely logical issue for any metalanguage-hierarchy solution, strict or liberal. The Pinocchio scenario is not going to arise in our world, so it is not a pragmatic issue.
