1 Can you solve the Pinocchio Paradox? Mon Jul 18, 2011 7:21 am
Fatal Dawn
Registered Member
The paradox:
The Pinocchio Paradox arises when Pinocchio says: "My nose grows now", and is a version of the liar paradox. In philosophy and logic, the liar paradox consists of the statement "This sentence is false." Any attempts to assign a classical binary truth value to this statement leads to a contradiction, or paradox. 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 ad infinitum.
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
The sentence "My nose grows" could be either true or false.
Assume the sentence: "My nose grows now" is true:
Which means that Pinocchio's nose grows now because he truthfully says it is, but then
Pinocchio's nose does not grow now because according to the novel it grows only as Pinocchio lies, but then .../
Pinocchio's nose grows now because Pinocchio's nose does not grow now, and Pinocchio trustfully 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 Pinocchio's nose grows now, and Pinocchio trustfully says it grows now, and it is true that makes Pinocchio's sentence to be true, but then .../
And so on .../ (ad infinitum).
Assume the sentence: "My nose grows now" is false:
Which means that Pinocchio's nose does not grow now because he falsely says it is, but then .../
Pinocchio's nose grows now because according to the novel it grows only as Pinocchio lies, but then .../
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 to be true, but then .../
Pinocchio's nose grows now because Pinocchio's nose does not grow now, and Pinocchio falsely says it grows now, and it is true, that makes Pinocchio's sentence to be false, but then .../
And so on .../ (ad infinitum).
Well if there was a possibility for a paradox to be created then Pinocchio could shatter time and space creating a loophole, which would cause everything to cease existing.
The Pinocchio paradox has nothing to do with Pinocchio being a known liar. If Pinocchio is to say: "I am getting sick", then, it could be either true or false, but Pinocchio's sentence "My nose grows now" can be neither truth nor fallacy hence this and only this sentence creates the Pinocchio's Liar paradox.