On Mon, Nov 19, 2012 at 1:20 PM, Aaron Hosford <[email protected]> wrote:
> My matrix representation is based on the observation that AB != BA in the >> composition of concepts, for example "john loves mary != mary loves john". >> I'm still trying to determine if the matrix representation is sound and >> consistent with our common-sense view of concepts, but it looks promising... > > > I may be jumping to conclusions, but it sounds like what you're doing is > placing A/"john", B/"mary", etc. as labels for both rows and columns, where > the row label represent the first value and the column represents the > second (or maybe vice versa), so that you can represent "john loves mary" > by placing a nonzero value in entry indexed by row "john" and column > "mary". The most obvious interpretation for this nonzero value would be the > probability that "john loves mary" is true, or it could possibly be > certainty or some other similar measure. [...] > Hi Aaron and others, Sorry about the delay -- this is a new blog post explaining my "matrix trick": http://geniferology.blogspot.hk/2012/12/matrix-trick-and-ontology-ball.html As you can see, it is very different from the adjacency matrix approach that is more common in graph theory. I'm not saying one approach is better than the other, but my approach may allow the spatial treatment of logic. @Micah: Yes, I have read Hawkins' book and will have a look at Kurzweil's. Let me just say that I've studied neuroscience in the early 2000s and have thought at length about the neural approach to AGI. @Ben: Seems that Heisenberg's matrix approach to QM has fell out of favor, but I don't know the exact reason. Perhaps the wave equation has primacy over matrices because the former can be derived from first principles (such as the Hamiltonian or Lagrangian) whereas the matrices are just a representation of the quantum states / operators...? Comments, suggestions welcome =) KY ------------------------------------------- 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
