2012/1/26 Adrian Walker <adriandwalker@xxxxxxxxx>
Hi Chris,
Thanks, yes I think that for current practical purposes what you say answers my question.
However, this seems to be an area in which some further deep thinking is going on, for example:
What is Modeled by Truth in All Models?
John MacFarlane
Yes, of course, there are certainly heavy philosophical issues in the neighborhood here, but I took your question to be essentially a technical one, viz., whether the fact that a set of sentences is subject to different formal interpretations implies some sort of ambiguity concerning what is formally deducible from that set. That has a very clear answer. Such questions as the one above concerning the connection between formal notions and the informal notions they purport to represent are another matter entirely.
-chris
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