[FOM] Another easy solution does not work
SandyHodges at attbi.com
Tue Sep 10 13:11:16 EDT 2002
> Just forbid liars.
> Matt Insall
Suppose there were such a prohibition (issued by whom, I wonder?)
Suppose Professor Insall hears Betty say:
1. The sentence Angela spoke yesterday was not true.
Does he (not knowing what Angela said) conclude that:
2. If what Betty says is true, then the sentence Angela spoke yesterday
was not true.
Does the idea that Liars are forbidden answer the question as whether 2
is a correct conclusion? Or if it is not correct, does it say what the
correct conclusion would be?
Consider these sentences:
3. Sentence 4 is a forbidden Liar paradox.
4. Sentence 3 is a forbidden Liar paradox.
Are 3 and 4 both true? How could they be? So lets say 3 and 4 are
paradoxical and thus forbidden. Whatever the consequences of being
forbidden are, they apply to 3 and 4. I don't know what "forbid"
means, exactly, but whatever it is, 3 and 4 are it. Thus:
5. Sentence 4 is a forbidden Liar paradox.
Sentence 5 states our own position, that 4 is a Liar and is thus
forbidden. Thus, 5 is true. So 5 is true and 3 is forbidden. But
they're the same sentence!
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Sandy Hodges / Alameda, California, USA
mail to SandyHodges at attbi.com will reach me.
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