Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: utzoo!utgpu!water!watnot!watmath!clyde!rutgers!ames!ucbcad!ucbvax!KESTREL.ARPA!ladkin From: ladkin@KESTREL.ARPA.UUCP Newsgroups: mod.ai Subject: language comparisons Message-ID: <8702112035.AA13798@kestrel.ARPA> Date: Wed, 11-Feb-87 15:35:50 EST Article-I.D.: kestrel.8702112035.AA13798 Posted: Wed Feb 11 15:35:50 1987 Date-Received: Fri, 13-Feb-87 02:05:53 EST Sender: daemon@ucbvax.BERKELEY.EDU Organization: The ARPA Internet Lines: 20 Approved: ailist@sri-stripe.arpa Walter Hamscher writes: > Here's one way to characterize richness: A is richer than B if symbol > structures in A can finitely denote facts (i.e., the interpreter can > interpret as) that B can't. I suppose the intention of `richer than' is to be an aymmetric comparative. Thus, he needs to add some condition such as: A can also finitely denote all facts that B can't to rule out cases where both A is richer than B and B is richer than A. A case of this would be first-order logic and modal logic. Each may express conditions that are inexpressible in the other (e.g. irreflexivity for modal logic, well-cappedness for first-order logic). peter ladkin ladkin@kestrel.arpa