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- From: ramsay@math.ubc.ca (Keith Ramsay)
- Newsgroups: alt.philosophy.objectivism
- Subject: Re: Premises of "objectivism?"
- Date: 22 Jan 1993 00:45:28 GMT
- Organization: University of British Columbia, Vancouver, B.C., Canada
- Lines: 52
- Message-ID: <1jng38INNh0v@iskut.ucs.ubc.ca>
- References: <1993Jan21.144005.26462@nynexst.com> <TORKEL.93Jan21194341@bast.sics.se> <1993Jan21.200916.26386@ulrik.uio.no>
- NNTP-Posting-Host: gauss.math.ubc.ca
-
- In article <TORKEL.93Jan21194341@bast.sics.se>, torkel@sics.se
- (Torkel Franzen) writes:
-
- | [...] that A is meaningless because it is paradoxical. This is not very
- | illuminating,
- | for it does not give us any insight at all into what uses of the predicate
- | "x is a true sentence" are meaningful, and how such meaningful uses
- | can be understood. In short, philosophers have wanted to do better.
-
- Yes.
-
- In article <1993Jan21.200916.26386@ulrik.uio.no>
- solan@smaug.uio.no (Svein Olav G. Nyberg) writes:
- |The sentence is not meaningless because it is paradoxical, but because
- |it is not constructive, i.e. built from elements already possessing
- |meaning. Paradoxical sentences just happen to be non-constructive, and
- |therefore meaningless. It is because they are meaningless that they
- |can appear to be paradoxical. If I recognize your name right, you are
- |a mathematician (from Sweden), so you should know this.
-
- I suspect there is some element of truth in what you are saying, but
- it is difficult to state exactly what "constructive" can really be
- taken to mean here, or what kind of "building from elements" is
- involved.
-
- Consider, for example,
-
- (*) If X and Y are true sentences, then (X and Y) is a true sentence.
-
- If reference to the truth of a sentence makes that other sentence
- being referred to part of the "construction" of the sentence, then it
- is hard to see how we can affirm a claim like (*); it can only be
- "constructed" after all true sentences have been constructed. So a
- simple-minded implementation of the idea, that the problem with
- paradoxical sentences lies in the impossibility of building them up
- from the sentences to which they refer, cuts much too deeply into our
- ability to discuss truth and logic in general. Your claim
-
- "Paradoxical sentences just happen to be non-constructive, and
- therefore meaningless."
-
- is an example of the kind of assertion which can easily fall into the
- "not constructive" category in such a scheme.
-
- The point is that the paradoxes pose a non-trivial obstacle for a
- person who wants to produce a comprehensive account of language and
- meaning. I know of no easy solution, and doubt one is known. I think
- we've established now at least that a simple application of the law of
- identity does not suffice.
-
- Keith Ramsay "Being a computer means not having
- ramsay@math.ubc.ca to say you're sorry."
-