[comp.ai.digest] Generalization & Natural Kinds

ABOULANGER@G.BBN.COM.UUCP (09/19/87)

To add some beef to much of this natural kinds discussion, I suggest
that those interested in the issue of natural kinds and generalization take
a look at a recent paper by Roger Shepard:

"Toward a Universal Law of Generalization for Psychological Science"
Science, 11 September 1987, 1317-1323

From the abstract:

A psychological space is established for any set of stimuli
by determining metric distances between the stimuli such
that the probability that a response learned to any stimulus
will generalize to any other is an invariant monotonic function
of the distance between them. To a good approximation, this
probability of generalization (i) decays exponentially with this
distance, and (ii) does so in accordance with one of two
metrics, depending on the relation between the dimensions along
which the stimuli vary. These empirical regularities are
mathematically derivable from universal principles of natural
kinds and probabilistic geometry that may, through evolutionary
internalization, tend to govern the behaviors of all sentient
organisms.


Albert Boulanger
BBN Labs




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