Article View: sci.logic
Article #233Re: The Mathematical Universe
From: Gary Merrill
Date: Wed, 07 Oct 1992 14:06
Date: Wed, 07 Oct 1992 14:06
48 lines
3425 bytes
3425 bytes
In article <1992Oct6.202938.20909@ccu.umanitoba.ca>, sbloch@silver.cs.umanitoba.ca (Stephen Bloch) writes: |> holmes@opal.idbsu.edu (Randall Holmes) writes: |> >|> No, my view is that there is only one universe, and this includes all |> >|> of the "possible worlds", _all_ of which are actual. I am a possible |> |> and sasghm@theseus.unx.sas.com (Gary Merrill) replies: |> >But certainly there *is* a distinguished world (which we normally refer |> >to as the "actual" one). You may say that *all* of the possible worlds |> >are actual (or real, or whatever), but if you wish to retain a distinction |> >between what *is* and what *might be*, then *some* distinction must be |> >made. No? If not, I don't see how to distinguish between fact and fiction. |> |> Imagine I live in a suburban neighborhood containing lots of nearly |> indistinguishable houses (in fact, to avoid being able to say "the house |> at the northwest corner," let's suppose this suburb extends infinitely |> in at least one dimension. God, how depressing!) I can still refer to |> "the house," and everyone who hears me will understand that I mean |> "the one I'm in." If somebody else, living in a different house, says |> "the house", she means the one's SHE's in. The statement "A cat lives |> in the house" may be fact in one and fiction in another. |> |> This entire "neighborhood" of possible physical worlds is a subset of |> The Logical Universe (comprising "things that could be"). Yes, but what you have provided here is just a general account of how indexicals are handled in our language (and in formal languages). It is still the case that among the indices there often is a *special* one: I, now, here, the actual world, ... If all you are interested in is theorems concerning statements with indexicals in them, there *may* indeed be no reason to single out a special one. Even if there is, the content of these theorems may be of *logical* interest only in that they have no empirical content. For example, I recall a system of David Kaplan's in which "I am here now" is a theorem. But there is *still* an important distinction not captured by the set of theorems. *I* am typing *this*, and *you* are not -- though you *might* be. As a logician, I can say "There is nothing special about the actual world. It's just one of the possible ones." But as a *scientist* or as an epistemologist, there certainly *is* something special. And this usually is captured by saying that the actual world is *real* and the other possible worlds are not. -- 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
Technical Details
Message-ID:
<Bvr8J1.CKv@unx.sas.com>Path:
arc1-ca.pugleaf.net!sparky!uunet!dtix!darwin.sura.net!gatech!concert!sas!mozart.unx.sas.com!sasghmReferences:
<BvnGy0.BH0@unx.sas.com> <1992Oct5.203643.17540@guinness.idbsu.edu> <BvpD0D.27o@unx.sas.com> <1992Oct6.202938.20909@ccu.umanitoba.ca>Show Full Headers
Complete Article Headers
Path: arc1-ca.pugleaf.net!sparky!uunet!dtix!darwin.sura.net!gatech!concert!sas!mozart.unx.sas.com!sasghm From: sasghm@theseus.unx.sas.com (Gary Merrill) Newsgroups: sci.logic Subject: Re: The Mathematical Universe Keywords: inconsistent multiplicities Message-ID: <Bvr8J1.CKv@unx.sas.com> Date: 7 Oct 92 14:06:36 GMT References: <BvnGy0.BH0@unx.sas.com> <1992Oct5.203643.17540@guinness.idbsu.edu> <BvpD0D.27o@unx.sas.com> <1992Oct6.202938.20909@ccu.umanitoba.ca> Sender: news@unx.sas.com (Noter of Newsworthy Events) Organization: SAS Institute Inc. Lines: 48 Originator: sasghm@theseus.unx.sas.com Nntp-Posting-Host: theseus.unx.sas.com