On 7/29/08, Mike Tintner <[EMAIL PROTECTED]> wrote: > YKY: The key word here is "model". If you can reason with mental models, > > then of course you can resolve a lot of paradoxes in logic. This > > boils down to: how can you represent mental models? And they seem to > > boil down further to logical statements themselves. In other words, > > we can use logic to represent "rich" mental models. > > > > Pei,
You're responding to my post (YKY), not Pei Wang. > Can you identify a single metalogical dispute - about how to resolve > paradoxes in logic, or,say, which form of logic to use for a given type of > problem - that has been resolved by formally LOGICAL means? Can you give > one actual example of what you have just asserted above - one such > paradox-resolving mental model that really was logical? > > My contention would be that metalogical reasoning - depends on a totally > different kind of reasoning to that of logic itself. And you cannot > *logically* derive any new kind of logic - nonmotonic, fuzzy etc - from any > previous kind. Nor can you derive any new branch of mathematics > *mathematically* from any previous kind. The foundations of logic, maths and > rational systems generally do not lie in themselves - which, if true, is > rather important for General Intelligence. > > But by all means disprove me. Guys like Bertrand Russell are concerned about the relation of mathematical logic to "Truth". AGI builders who use logic, use it as a computational structure to *represent* the world. It is understood that a representation is an *approximation* of the real thing. Your problem stems from the fact that you think there's a correspondence of AGI logic statements with "Truths" and thus there emerges the problem of meta-logic -- how do we know the Truths about Truths. The correct way to understand logic-based AGI is that the AGI logic statements do not correspond to Truths, but they correspond to hypotheses about the world in an *approximate* manner. There is no escape from this. Welcome to the postmodern, I guess =) YKY ------------------------------------------- agi Archives: https://www.listbox.com/member/archive/303/=now RSS Feed: https://www.listbox.com/member/archive/rss/303/ Modify Your Subscription: https://www.listbox.com/member/?member_id=8660244&id_secret=108809214-a0d121 Powered by Listbox: http://www.listbox.com
