Re: The Law of the Excluded Middle again (long)



On Dec 3, 8:07 am, Angus Rodgers <twir...@xxxxxxxxxxx> wrote:
On Mon, 03 Dec 2007 04:24:27 -0500, quasi

I don't know how to explain my point better. Rather than try
to do so (which would only lead to further possibly unreadable
verbiage), may I simply ask how /you/ think of the meaning of
(for example) the statement "either x > 1 or x <= 1", where x
is a variable, which has been introduced in an informal proof,
and you are still in the middle of the proof? No-one is asking
for this statement to be frozen, quantified, and then assigned a
truth value!

I can't understand what is bothering you about such
a statement. I would say that of course it has
a truth value. And if it is a valid proof, then
that truth value better be "T".

Why do you think we can't say "either x>1 or x<=1"
in a proof? If x is a real number, there aren't
any other possibilities. And why did you specify
"informal"?

- Randy
.



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