The extremist fallacy
Opponents assume there are only two positions on the connectionism/symbolism issue: eliminativism and implementationism—and that to support one is to reject the other. The subsymbolic paradigm rejects both, forging a "limitivist" middle road.
A common problem with the various attacks on the three level distinction is that they commit the following extremist fallacy: there are only two positions on the connectionism/symbolism issue: eliminativism and implementationism. Any view that rejects one must embrace the other; if it embraces both, it is incoherent. But the subsymbolic paradigm rejects both eliminativism and implementationism, forging a "limitivist" middle road.

Smolensky (1988b).

Note: Smolenksy separately address the various other attacks on his treatment of levels—but these arguments are not described on the original Horn map.
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Artificial Intelligence »Artificial Intelligence
Can computers think? [1] »Can computers think? [1]
Yes: connectionist networks can think [5a] »Yes: connectionist networks can think [5a]
The Subsymbolic Paradigm »The Subsymbolic Paradigm
Smolensky's treatment of levels is problematic »Smolensky's treatment of levels is problematic
The extremist fallacy
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