PM, One of my favorite subjects...
variables appear to have value, significance, and dimensionality. You have chosen to restrict your thinking to binary values, while ignoring significance and dimensionality. You proposition could have a value other than T or F, and every proposition almost certainly has a value somewhere between T and F, expressing the believed probability of it being true, based on a finite set of observations. Further, propositions have significance. For example, you may precisely know the values of various independent variables, but be unsure of how to manipulate them to compute an interesting parameter. There is a BIG difference between probabilities of: 0.5 Believed to be 50:50 without much evidence. 0.50 Believed to be 50:50 based on hundreds of observations. 0.500 Believed to be 50:50 based on careful analysis and confirmed by hundreds of observations. Then there is the most interesting parameter of all - dimensionality, which I believe guides the construction of our brains. This tells us what sort of measure this is, e.g. position, intensity, probability, confidence, etc., etc. As for representational non-existence, how can you represent that which you don't know anything about, including its very existence? We do this all the time, and it takes no space. It just isn't there. It has no value, no significance, and no dimensionality, and hence it also has no existence. So, in summary, your conundrum arises from "trimming" the problem WAY below the minimum needed to understand it. Steve ============= On Thu, Sep 18, 2014 at 11:10 AM, Piaget Modeler via AGI <[email protected]> wrote: > How have knowledge representations dealt with the absence of a > proposition? > > Suppose there is a knowledge base KB containing a proposition > > P > > We can represent P being false as > > (not P) > > But how do you represesent the fact that neither P nor (not P) are in the > KB? > > Kindly advise. > > ~PM > *AGI* | Archives <https://www.listbox.com/member/archive/303/=now> > <https://www.listbox.com/member/archive/rss/303/10443978-6f4c28ac> | > Modify > <https://www.listbox.com/member/?&;> > Your Subscription <http://www.listbox.com> > -- Full employment can be had with the stoke of a pen. Simply institute a six hour workday. That will easily create enough new jobs to bring back full employment. ------------------------------------------- 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
