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Tom
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Date Joined Jul 2001
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   Posted 10/18/2004 11:00 AM (GMT -6)    Quote This PostAlert An Admin About This Post.
http://consequently.org/papers/lsf.pdf

Tom
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Tom
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Date Joined Jul 2001
Total Posts : 10353
 
   Posted 10/18/2004 12:48 PM (GMT -6)    Quote This PostAlert An Admin About This Post.
Sorry. If you're not familiar with logical notation, don't bother. Should have mentioned that.

Tom
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JET
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   Posted 10/19/2004 3:54 AM (GMT -6)    Quote This PostAlert An Admin About This Post.
If anyone speaks in a tongue, . . . someone must interpret.
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Alan Rhoda
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Date Joined May 2002
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   Posted 10/21/2004 2:59 PM (GMT -6)    Quote This PostAlert An Admin About This Post.
I haven't read the article in depth, but as I understand the issue, Lukasiewicz says that with regard to future contingents, both "will" and "will not" statements are neither true nor false. This leads to counterintuitive results, however, because it would lead us to say that "Bush will win the election and Bush will not win the election" is neither true nor false, yet since the conjuncts are contraries it seems that the statement should be FALSE.

The supervaluational approach avoids this problem by quantifying over possible histories, such that "will" is true iff ALL histories passing through the present have Bush winning, and "will not" is true iff NO histories passing through the present have Bush winning. Otherwise, the statements are neither true not false. Thus, since "Bush will win the election and Bush will not win the election" happens in NO histories passing through the present (since both can't happen), the supervaluational approach allows us to say, correctly, that the statement is false.

Greg Restall seems to be trying to harmonize Lukasiewicz and supervaluationism. Maybe that can be done. I have worked through the details of his paper, nor do I intend to. The problem with both approaches, it seems to me, it that they needlessly give up bivalence. Moreover on the first page Restall explicitly eliminates tense from his logical system. Frankly, I don't think that's a move any self-respecting presentist should follow.

Alan
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