Re: Deep Thoughts # 17: Liar Paradox is a Formal Metamathematical Theorem
From: Barb Knox (see_at_sig.below)
Date: 10/11/04
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Date: Tue, 12 Oct 2004 12:30:55 +1300
In article <bde404c9.0410091454.9253b8d@posting.google.com>,
QncyMI@netscape.net (Brian Quincy Hutchings) wrote:
>ny total tutorial in predicate logic was reading
>_The Laws of Form_ through to the middle
>of the chapter with second-order equations;
>it purports to be the unmentioned "arithmetic"
>of boolean/predicate logic. I agree.
Since I (and presumably most others) have not read that book, if you want to
have a serious conversation then you need to state the relevant ideas here.
> of course, I've come across examples, before & since.
A few well-chosen examples that illustrates whatever your point is would be
helpful too.
>my point was taht the "time dimension" is simply ignored,
>although it is naturally required, even to ennunciate the "paradox;"
So you say. As I said, it sure doesn't look that way. Please PROVIDE some
of the allegedly deeper analysis, rather than just asserting that there is
one.
>the same applies to Lord Berty's Village Barber conundrum;
>it's just a conundrum!
So where do you disagree with my analysis?
[unsnip]
>>And again, where is the explicit or implicit reference to time
>>in the Barber paradox?
>>
>>And the Liar seems much more intractable than the
>>Barber: the simple solution to the Barber paradox is that there can not be
>>any such barber (just as the usual solution to the Russell-set paradox is
>>that there can not be any such set). But applying that to the Liar would be
>>saying that there can not be any such statement, but in actual fact there it
>>is right before your eyes.
>Barb Knox <see@sig.below> wrote in message
>news:<ck7cam$b0n$1@lust.ihug.co.nz>...
>
>> It sure doesn't look that way: there is no explicit reference to time in
>> "This statement is false". By what deeper analysis to do you impute some
>> time reference?
>
>--ils duces d'Enron!
>http://larouchepub.com
(BTW, that isn't a useful link to include in a sci.logic/sci.math post,
unless you WANT to be thought of as a kook.)
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