Re: The fallacy of strengthened liar's paradox.



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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