sci.logic
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Re: Foundations of Mathematics

Subject: Re: Foundations of Mathematics
From: "John Jones"
Date: 3 Oct 2006 12:47:27 -0700
Newsgroups: sci.logic
Charlie-Boo wrote:

I expect you had a good work-out there. They are always useful.
I read what you wrote. In a nutshell this time, the point I am making
is that if an object references itself then I would not know about it.
In sentences like this:

"This does not have four words."

I am entitled to ask 'what does not have four words?'  A self-reference
cannot announce itself except by another act of reference. A
self-reference announces nothing. If two objects refer to each other
and nothing else then I cannot recognise the reference.

So in:
'this sentence is not made of five words'
I need to announce what sentence I am talking about. 'This sentence.. '
is a false reference. If we eliminate the false referenvce we get
' ....  sentence is not made of five words'
In which case you see, I am entitled to ask 'what sentence  is not made
of five words'?

Summating, self-reference requires another act of reference to identify
a particular sentence. This needs to be made explicit.


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