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198 11 Stages of Cognitive Development
tomized logical rule-bases to find specialized solutions that solve only this problem fail to fully
address the issue, because these solutions don’t create knowledge adequate to aid with the
solution of related sorts of problems.
We hypothesize that this problem is hard enough that for an inference-based AGI system
to solve it in a developmentally useful way, its inferences must be guided by meta-inferential
lessons learned from prior similar problems. When approaching a number conservation problem,
for example, a reasoning system might draw upon past experience with set-size problems (which
may be trial-and-error experience). This is not a simple “machine learning” approach whose
scope is restricted to the current problem, but rather a heuristically guided approach which (a)
ageregates information from prior experience to guide solution formulation for the problem at
hand, and (b) adds the present experience to the set of relevant information about quantification
problems for future refinement of thinking.
a ee ee ee ee eee eee
ce ee ee ee
Fig. 11.6: Conservation of Number
For instance, a very simple context-specific heuristic that a system might learn would be:
“When evaluating the truth value of a statement related to the number of objects in a set,
it is generally not that useful to explore branches of the backwards-chaining search tree that
contain relationships regarding the sizes, masses, or other physical properties of the objects in
the set.” This heuristic itself may go a long way toward guiding an inference process toward a
correct solution to the problem—but it is not something that a mind needs to know “a priori.”
A concrete-operational stage mind may learn this by data-mining prior instances of inferences
involving sizes of sets. Without such experience-based heuristics, the search tree for such a
problem will likely be unacceptably large. Even if it is “solvable” without such heuristics, the
solutions found may be overly fit to the particular problem and not usefully generalizable.
11.4.2.2 Theory of Mind
Consider this experiment: a preoperational child is shown her favorite “Dora the Explorer” DVD
box. Asked what show she’s about to see, she’ll answer “Dora.” However, when her parent plays
the disc, it’s “SpongeBob SquarePants.” If you then ask her what show her friend will expect
when given the “Dora” DVD box, she will respond “SpongeBob” although she just answered
“Dora” for herself. A child lacking a theory of mind can not reason through what someone
else would think given knowledge other than her own current knowledge. Knowledge of self is
intrinsically related to the ability to differentiate oneself from others, and this ability may not
be fully developed at birth.
Several theorists [BC94, Fod94], based in part on experimental work with autistic children,
perceive theory of mind as embodied in an innate module of the mind activated at a certain
developmental stage (or not, if damaged). While we consider this possible, we caution against
adopting a simplistic view of the “innate vs. acquired” dichotomy: if there is innateness it may
take the form of an innate predisposition to certain sorts of learning [EBJ*97].
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