Re: modal logic and possible worlds

2002-08-14 Thread Bruno Marchal
Wei Dai wrote: Thanks for your answers. They are very helpful. Y're welcome. I want just add something. Your general question was Why using modal logic when quantifying on worlds is enough. My basic answer was that Kripke's possible world semantics works only on a subset of the possible

Re: modal logic and possible worlds

2002-08-14 Thread Bruno Marchal
Hi Tim, just some quick comments. On Tue, Aug 13, 2002 at 10:08:50AM -0700, Tim May wrote: * Because toposes are essentially mathematical universes in which various bits and pieces of mathematics can be assumed. A topos in which Euclid's Fifth Postulate is true, and many in which it is

Re: modal logic and possible worlds

2002-08-14 Thread Wei Dai
On Wed, Aug 14, 2002 at 04:38:45PM +0200, Bruno Marchal wrote: Your general question was Why using modal logic when quantifying on worlds is enough. My basic answer was that Kripke's possible world semantics works only on a subset of the possible modal logics. Let me generalize my question