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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: <Bxtqon.I97@unx.sas.com>
- Date: Mon, 16 Nov 1992 19:41:11 GMT
- References: <26551@optima.cs.arizona.edu>
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- Organization: SAS Institute Inc.
- Lines: 38
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-
- In article <26551@optima.cs.arizona.edu>, gudeman@cs.arizona.edu (David Gudeman) writes:
- |> In article <BxtBwx.LvH@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.
- |>
- |> The term "meaningless" is ambiguous here. There are many examples of
- |> problematic meanings in language. For example, what does the word
- |> "unicorn" denote? What does "nothing" denote? Clearly, both words
- |> have a meaning in some sense, but neither has a "normal" denotation.
- |> If you take the view that sentences denote their truth values, then
- |> the liar's paradox can be taken as another example of the same thing.
-
- The liar's paradox is quite independent of the position that sentences
- denote their truth values. Moreover, "meaningless" appears to be unambiguous
- in the above context. My point was that the meaning of the sentence
- is sufficiently clear for us to use it in common inferences.
-
- The analogies to "unicorn" and "nothing" are weak and unconvincing.
- Surely it is not suggested that "This sentence" fails to denote as
- "unicorn" does or as "nothing" does.
-
- Certainly if we wish to take the position that a sentence is a *name*
- that *denotes* something, then we may court various problems. Thus
- it is wise not to take that position. Unfortunately, the liar remains
- with us.
- --
- 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
-