Re: The fallacy of strengthened liar's paradox.
- From: Newberry <newberryxy@xxxxxxxxx>
- Date: Tue, 25 Dec 2007 07:54:11 -0800 (PST)
On Dec 25, 6:01 am, David C. Ullrich <ullr...@xxxxxxxxxxxxxxxx> wrote:
On Mon, 24 Dec 2007 15:11:50 -0800 (PST), Newberry
<newberr...@xxxxxxxxx> wrote:
Let P be the sentence "This sentence is meaningless." Is it true or
false? [...]
This gives us the basic insight that all self-referential, paradoxical
sentences, including possibly Goedel's sentence, are probably
meaningless.
You're jumping a bit from one example to _all_ such sentences.
It is a bit conjecture.
But much more important: There's nothing _literally_ self-referetial
about "Godel's sentence" - your lovely anlysis is irrelevant there.
The sentence in question is just an ordinary assertion about positive
integers, with no problem whatever regarding what it means,
any more than there's a problem with "If n and m are even positive
integers then n + m is even."
One of those number is the Goedel number of the sentence ITSELF.
.
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