Unfortunately those equations of Piaget's don't seem to correlate to the results of lab experiments on human psychological development very well, though '/
As you know, Piaget is considered a conceptual inspiration by modern developmetal psychologists, but it's not considered that his specific theories were empirically accurate ---- they are not generally taught in dev psych courses except in the history section of the course... However, it is very much to his credit that he formulated theories precise enough to be falsified by experiment !! ... and I do suspect that the mathematical theories of development that will eventually be found that will agree with experiment, will bear significant conceptual resemblance to Piaget's ideas, though obviously differing in the details... -- Ben On Wed, Nov 12, 2014 at 9:56 PM, Piaget Modeler via AGI <[email protected]> wrote: > Jean Piaget had several equations for interactions between subject and > object > leading to higher levels of stucture. See *The Development of Thought*. > > So, already there are equations. QED. > > ~PM > > > Date: Wed, 12 Nov 2014 21:37:40 -0500 > > Subject: Re: [agi] Grounding representation and pattern in consciousness > > From: [email protected] > > To: [email protected] > > CC: [email protected] > > > > > > And, the answer to that, I think from your perspective, is that we are > > > still looking for as yet undiscovered equations of intelligence, which > > > would not wholesale copy 3 dimensional math, but would be something > > > new, like a 0-dimensional math (which I've read about but don't > > > understand). > > > > > > > Yes, I think that in future there will be nice mathematical equations for > > the structure and dynamics of intelligence systems... > > > > These will not solve all problems about intelligence immediately, of > course, > > just as knowing the Navier-Stokes equation doesn't make the whole of > fluid > > dynamics trivial ... it just gives a solid basis for fluid dynamics > work... > > > > However, just as the Wright Brothers built a plane without a good > aerodynamic > > theory, it may also be possible to build an AGI prior to the existence > > of a solid > > mathematical theory of AGI... > > > > I don't think it's useful to describe, say, the math of computer > algorithms as > > "zero dimensional." It's simply math about structures for which > dimensionality > > is not a relevant concept.... > > > > -- Ben > > > > > > ------------------------------------------- > > AGI > > Archives: https://www.listbox.com/member/archive/303/=now > > RSS Feed: > https://www.listbox.com/member/archive/rss/303/19999924-4a978ccc > > Modify Your Subscription: https://www.listbox.com/member/?&; > > Powered by Listbox: http://www.listbox.com > *AGI* | Archives <https://www.listbox.com/member/archive/303/=now> > <https://www.listbox.com/member/archive/rss/303/212726-deec6279> | Modify > <https://www.listbox.com/member/?&;> > Your Subscription <http://www.listbox.com> > -- Ben Goertzel, PhD http://goertzel.org "The reasonable man adapts himself to the world: the unreasonable one persists in trying to adapt the world to himself. Therefore all progress depends on the unreasonable man." -- George Bernard Shaw ------------------------------------------- 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
