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- From: petry@corona.math.washington.edu (David Petry)
- Subject: Re: Self-Reference and Paradox (was Re: Human intelligence...)
- Message-ID: <1992Nov18.051456.24550@u.washington.edu>
- Sender: news@u.washington.edu (USENET News System)
- Organization: University of Washington, Mathematics, Seattle
- References: <1992Nov14.151559.13227@oracorp.com> <BxtBwx.LvH@unx.sas.com>
- Date: Wed, 18 Nov 1992 05:14:56 GMT
- Lines: 28
-
- In article <BxtBwx.LvH@unx.sas.com> sasghm@theseus.unx.sas.com (Gary Merrill) writes:
- >
- >In article <1992Nov14.151559.13227@oracorp.com>, daryl@oracorp.com (Daryl McCullough) writes:
- >
- >|>
- >|> This sentence is false.
- >|>
- >|> refers to an unrestricted notion of falsity, and is therefore
- >|> meaningless. We can replace "false" by a restricted notion of falsity
- >
- >This sort of thing has been tried before. One problem is that the displayed
- >sentence is *not* meaningless in any normal sense of this term. We
- >know perfectly well what it means -- and that's the problem.
-
- Well, we think we know perfectly well what it (the paradoxical sentence)
- means, but we humans use non-monotonic logic. That is, we are willing to
- reject our previous conclusions in light of new knowledge.
-
- For example, if you found out that I had just written down the sentence
- "2+2 = 5" and was pointing to it while I exclaimed "This sentence is false",
- you would quickly change your belief about the meaning of that exclamation.
-
- I've always felt that that observation is crucial to the understanding of
- the so-called paradoxes.
-
-
- David Petry
-
-