On Wed, Jan 15, 2014 at 7:29 PM, Russell Wallace <[email protected]>wrote:
> I saw your post. I don't have an opinion about the geometry of mind, but > you're still on the list :) > Thanks =) Well, to explain why we're interested in the geometry of mind... In logic-based AGI, the KB is a collection of logic formulas. We may try to organize this KB with a hierarchical (ie, tree) structure, somewhat akin to a library catalog of books. That is more or less standard classical AI stuff (although I'd argue that no one has yet built such a complete system with all the ingredients right). The geometry of mind concerns what happens when we try to map the logic formulas into a mathematical "space". That has more meaning than a mere collection of formulas (ie, a set). If the set has "neighborhoods", we have a topology. If this topology has a distance metric, then we have a "geometry". If the distances varies continuously, we have a differential geometry (or "manifold"). Knowing the spatial structure of the "mind" (ie the KB), may present new methods for optimization, because mathematics offer almost inexhaustible tricks that can be applied to geometric space. At least that's the hope. That's why I (and Ben, it seems) are interested in conceptual geometry.... ------------------------------------------- AGI Archives: https://www.listbox.com/member/archive/303/=now RSS Feed: https://www.listbox.com/member/archive/rss/303/21088071-f452e424 Modify Your Subscription: https://www.listbox.com/member/?member_id=21088071&id_secret=21088071-58d57657 Powered by Listbox: http://www.listbox.com
