On Wednesday 16 May 2007 04:47:53 pm Mike Tintner wrote: > Josh > ". If you'd read the archives, > > you'd see that I've advocated constructive solid geometry in Hilbert > > spaces > > as the basic representational primitive. > > Would you like to say more re your representational primitives? Sounds > interesting. The archives have no reference to "constructive solid geometry > in Hilbert spaces" in any form. Personally, I think it's a plot.
MOOO ha ha ha! It's all in your mind :-) Actually, I can't find it either but (and this is apropos to the subject) we rarely remember the exact words we said or heard; we remember more abstract representations. Chances I used "CSG" and/or "vector spaces". Hilbert space is a rhetorical flourish anyway -- they may need it to describe quantum mechanics precisely but we'll never implement it... The basic idea is that after all, it's straightforward to represent the sensory inputs as a numeric vector ( one number for the signal on each nerve). Ditto for motor outputs. It's straightforward to represent the various transforms done by the visual and auditory systems as mappings in vector spaces. Furthermore, physical science has used numeric vectors as a basic form of representation for centuries. Together with the calculus, this is really the language of science. It seems silly to tackle the biggest scientific problem yet by throwing it away. So as a working hypothesis, I'm assuming that I can model the entire cognitive process with vector spaces / transforms as a basic representation, and that things like logic and language will show up as special cases that in some cases can be optimized (but shouldn't be until we understand what gets lost in the translation). CSG comes in when you have a space in which points represent something like frames, i.e. a description of a situation. Propositions can be represented as regions in the space where a given statement is true, and the mapping from propositional connectives to CSG operators is trivial. Josh ----- This list is sponsored by AGIRI: http://www.agiri.org/email To unsubscribe or change your options, please go to: http://v2.listbox.com/member/?member_id=231415&user_secret=fabd7936
