Kris P. answered • 11/23/14

Education/Research/Media/Communications Specialist: FACTOTUM: FOR HIRE

Raj A.

asked • 11/08/12If you could analogize this in a mathematical/philosophical proof, rationalize the result.

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Kris P. answered • 11/23/14

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Education/Research/Media/Communications Specialist: FACTOTUM: FOR HIRE

If he's speaking the truth, it would not grow.

However, that he claimed it would grow means he's either lying, in which case it would still grow or, in fact, he was simply declaring upon lying that his nose would grow.

Without more context, we can't know what would happen.

Madeleine M. answered • 11/09/12

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Chris S. answered • 11/09/12

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where N is the proposition that his nose will grow:

1. if N then not N

2. not not N

3. therefore N (rule of modus tollens)

or

1. if N then not N

2. N

3. therefore not N (rule of mdus ponens)

This is a logical paradox on the surface since affirming N leads to its negation and vice versa. One must find a way to show how premise one is mistaken. Things must be taken into account like whether or not he believes what he is saying to be the truth or if he is lying.

This is really just a colorful version of the liar paradox: "This sentence is false"

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Kris P.

11/23/14