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- Xref: sparky comp.ai.philosophy:6835 sci.logic:2089
- Newsgroups: comp.ai.philosophy,sci.logic
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- From: sasghm@theseus.unx.sas.com (Gary Merrill)
- Subject: Re: Self-Reference and Paradox (was Re: Human intelligence...)
- Originator: sasghm@theseus.unx.sas.com
- Sender: news@unx.sas.com (Noter of Newsworthy Events)
- Message-ID: <BxwzLy.H3E@unx.sas.com>
- Date: Wed, 18 Nov 1992 13:46:45 GMT
- References: <1992Nov14.151559.13227@oracorp.com> <BxtBwx.LvH@unx.sas.com> <1992Nov18.051456.24550@u.washington.edu>
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- Organization: SAS Institute Inc.
- Lines: 37
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-
- In article <1992Nov18.051456.24550@u.washington.edu>, petry@corona.math.washington.edu (David Petry) writes:
- |> 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.
-
- Really? How? What you point to is that the meaning of a sentence is
- dependent upon context. My claim remains that given the original
- context of the example (in which the subject of the sentence refers
- to the sentence itself), we know what the sentence means. The fact
- that the sentence *could* mean something else in *another* context
- hardly allows us to escape the paradox.
- --
- Gary H. Merrill [Principal Systems Developer, C Compiler Development]
- SAS Institute Inc. / SAS Campus Dr. / Cary, NC 27513 / (919) 677-8000
- sasghm@theseus.unx.sas.com ... !mcnc!sas!sasghm
-