- From: Seth Russell <seth@robustai.net>
- Date: Mon, 9 Apr 2001 14:37:00 -0700
- To: "pat hayes" <phayes@ai.uwf.edu>
- Cc: <www-rdf-logic@w3.org>
From: "pat hayes" <phayes@ai.uwf.edu> >From Seth: > > > >Maybe that's because open world Truth is impossible too. Rather Truth is > > > >relative to [an] active processes. Perhaps the best we can hope for is a kind > > > >of propositional attitude that each agent calculates for it's self. > >If someone creates a formal system in which all axioms, syntax, and > >operations are specified; then the statements of such a system can be > >considered True\False and we can operate on that state with negation. I > >would call such a system "closed". The opposite situation is where the > >axioms and operations are not all known - perhaps the only thing that is > >known is the syntax of the statements. I would call such a system "open". >From Pat: > OK. This is the normal case that formal logic deals with and to which > the terms 'true' and 'false' usually apply. If I say that P is true, > I havn't thereby said anything about anything else, or claimed that > the world is closed or limited in any way other than that P has to be > true in it, or pre-empted anything that anyone else might want to say > about the world (unless they diasagree with me on this one > proposition, of course) . For example, if I say that Foodles exist, I > am not saying that nothing but Foodles exist. (I am also not saying > that the opposite, by the way: I'm just not saying anything about the > rest of the world at all, so it can be anything it wants to be > without my claim being false; just so long as it has some Foodles in > it.) Well yes, but if literally all you say is {P is True}, you haven't said anything much at all. Don't you also need to specifiy all of your axioms, operations, and syntactic structures before your single statement means anything ? So I am considering all of that which entails your {P is True} closes and restrains your world accordingly. I had though that was necessary for a "formal logic" system to be functional. Why are you not mentioning that now? > > In other words Truth in the real world and on the web is > >relative. > > Relative to what? Relative to an active process (see first message above). Seth
Received on Monday, 9 April 2001 17:40:18 UTC