Re: The fallacy of strengthened liar's paradox.
- From: Charlie-Boo <shymathguy@xxxxxxxxx>
- Date: Sun, 6 Jan 2008 07:51:24 -0800 (PST)
On Dec 29 2007, 6:54 pm, Marshall <marshall.spi...@xxxxxxxxx> wrote:
On Dec 29, 3:40 pm, djr...@xxxxxxxxxx wrote:
On Dec 29, 10:33 pm, Marshall <marshall.spi...@xxxxxxxxx> wrote:
On Dec 25, 5:42 pm, djr...@xxxxxxxxxx wrote:
Meaninglessness is when a statement is grammatically incorrect, like
"2++exp(+)=8". It is a concept that can be applied to mathematical
statements.
Hmmm. Do you mean to imply that every syntactically well-formed
mathematical expression is meaningful? What is the meaning of
1/0?
Yes, or at least statements in elementary number theory, for example
(I don't wish to get into a debate about the continuum hypothesis).
Okay.
The statement "1/0" is not syntactically correct.
An intriguing statement! Can you supply further justification?
It appears syntactically correct to me, but perhaps I am not
clear what you mean by that.
Further thoughts:
What is the meaning of the expression
1/(x-1)
When x=2? When x=1? It is the same syntax in both cases, isn't it?
The definition of a/b unfortunately makes the faulty assumption that
there is a c such that b*c=a and doesn't answer that question (or else
requires such a c to exist and you didn't pass that requirement.)
C-B
Marshall
.
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