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Mind, Body, World- Foundations of Cognitive Science, 2013a

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connectionism. Many researchers assume that PDP networks acquire implicit<br />

knowledge. For instance, consider this claim about a network that learns to convert<br />

verbs from present to past tense:<br />

The model learns to behave in accordance with the rule, not by explicitly<br />

noting that most words take -ed in the past tense in English and storing this<br />

rule away explicitly, but simply by building up a set <strong>of</strong> connections in a pattern<br />

associator through a long series <strong>of</strong> simple learning experiences. (McClelland,<br />

Rumelhart, & Hinton, 1986, p. 40)<br />

One problem that immediately arises in using explicit rules as a mark <strong>of</strong> the classical<br />

is that the notions <strong>of</strong> explicit rules and implicit knowledge are only vaguely<br />

defined or understood (Kirsh, 1992). For instance, Kirsh (1992) notes that the distinction<br />

between explicit rules and implicit knowledge is <strong>of</strong>ten proposed to be similar<br />

to the distinction between local and distributed representations. However, this<br />

definition poses problems for using explicit rules as a mark <strong>of</strong> the cognitive. This is<br />

because, as we have already seen in an earlier section <strong>of</strong> this chapter, the distinction<br />

between local and distributed representations does not serve well to separate classical<br />

cognitive science from other approaches.<br />

Furthermore, defining explicit rules in terms <strong>of</strong> locality does not eliminate connectionism’s<br />

need for them (Hadley, 1993). Hadley (1993) argued that there is solid<br />

evidence <strong>of</strong> the human ability to instantaneously learn and apply rules.<br />

Some rule-like behavior cannot be the product <strong>of</strong> ‘neurally-wired’ rules whose structure<br />

is embedded in particular networks, for the simple reason that humans can<br />

<strong>of</strong>ten apply rules (with considerable accuracy) as soon as they are told the rules.<br />

(Hadley, 1993, p. 185)<br />

Hadley proceeded to argue that connectionist architectures need to exhibit such<br />

(explicit) rule learning. “The foregoing conclusions present the connectionist with<br />

a formidable scientific challenge, which is, to show how general purpose rule following<br />

mechanisms may be implemented in a connectionist architecture” (p. 199).<br />

Why is it that, on more careful consideration, it seems that explicit rules are not<br />

a mark <strong>of</strong> the cognitive? It is likely that the assumption that PDP networks acquire<br />

implicit knowledge is an example <strong>of</strong> what has been called gee whiz connectionism<br />

(Dawson, 2009). That is, connectionists assume that the internal structure <strong>of</strong><br />

their networks is neither local nor rule-like, and they rarely test this assumption by<br />

conducting detailed interpretations <strong>of</strong> network representations. When such interpretations<br />

are conducted, they can reveal some striking surprises. For instance, the<br />

internal structures <strong>of</strong> networks have revealed classical rules <strong>of</strong> logic (Berkeley et al.,<br />

1995) and classical production rules (Dawson et al., 2000).<br />

The discussion in the preceding paragraphs raises the possibility that connectionist<br />

networks can acquire explicit rules. A complementary point can also be made<br />

346 Chapter 7

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