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Reduction and Elimination in Philosophy and the Sciences

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likely be only one (or at most a few) ways of build<strong>in</strong>g an<br />

organic system that can process visual images. And this is<br />

contrary to MR, which predicts that <strong>the</strong>re should be a wide<br />

diversity of evolved mechanisms for each functional capacity.<br />

Lateral <strong>in</strong>hibition serves a useful function <strong>in</strong> vision: it<br />

sharpens contrasts <strong>and</strong> aids <strong>in</strong> discrim<strong>in</strong>ation of closely<br />

spaced stimuli. Undoubtedly this accounts for its<br />

recurrence <strong>in</strong> evolution. But this recurrence does not<br />

underm<strong>in</strong>e MR, s<strong>in</strong>ce it’s also clear that different species<br />

carry out lateral <strong>in</strong>hibition us<strong>in</strong>g physiologically dist<strong>in</strong>ct<br />

mechanisms (eccentric cell collaterals versus horizontal<br />

cells, for <strong>in</strong>stance). Indeed, lateral <strong>in</strong>hibition occurs <strong>in</strong><br />

multiple sensory modalities with<strong>in</strong> s<strong>in</strong>gle species (human<br />

vision, touch, <strong>and</strong> audition, for example), <strong>and</strong> it <strong>in</strong>volves<br />

dist<strong>in</strong>ct cellular mechanisms <strong>in</strong> all of <strong>the</strong>se cases.<br />

What this suggests is that <strong>the</strong>re is a common<br />

functional characteristic that recurs across different<br />

species as well as with<strong>in</strong> <strong>in</strong>dividual species. But <strong>the</strong><br />

presence of a functional characteristic does not<br />

necessarily entail <strong>the</strong> presence of any particular physical<br />

mechanism. That isn’t to say that <strong>the</strong>re might not be<br />

physical constra<strong>in</strong>ts on how nervous systems must be<br />

constructed if <strong>the</strong>y’re go<strong>in</strong>g to realize terrestrial<br />

psychological capacities. Many constra<strong>in</strong>ts, however, are<br />

organizational or functional, <strong>and</strong> <strong>the</strong>se can’t be assumed<br />

to be physically identical <strong>in</strong> all cases; at least not unless<br />

we simply adopt a taxonomy of physical mechanisms that<br />

co-classifies as physically similar anyth<strong>in</strong>g that satisfies <strong>the</strong><br />

relevant functional specification. But this is just to beg <strong>the</strong><br />

question aga<strong>in</strong>st <strong>the</strong> MR <strong>the</strong>sis.<br />

Shapiro’s o<strong>the</strong>r examples of constra<strong>in</strong>ts on <strong>the</strong><br />

realization of cognition support this po<strong>in</strong>t. For <strong>in</strong>stance, he<br />

argues that humanlike cognition requires sensory systems<br />

that transduce <strong>in</strong>formation <strong>in</strong>to usable neural signals,<br />

receptors that tile sensory surfaces <strong>in</strong> vary<strong>in</strong>g densities,<br />

topographic maps <strong>in</strong> primary sensory areas, <strong>and</strong> broadly<br />

modular organization <strong>in</strong> <strong>the</strong> bra<strong>in</strong> itself (Shapiro, 2004, pp.<br />

105-138). But it is clear that <strong>the</strong>re are at best ra<strong>the</strong>r<br />

abstract similarities among, say, <strong>the</strong> diverse<br />

photoreceptors <strong>in</strong> <strong>the</strong> ret<strong>in</strong>a <strong>and</strong> <strong>the</strong> various tactile,<br />

<strong>the</strong>rmal, <strong>and</strong> chemical receptors that mediate touch. Even<br />

if <strong>the</strong>y possess broadly similar receptive field organization<br />

<strong>and</strong> project to topologically organized regions of primary<br />

sensory cortex, <strong>the</strong> f<strong>in</strong>e-gra<strong>in</strong>ed detail of <strong>the</strong>se neural<br />

structures will differ.<br />

So one can agree with Shapiro that <strong>the</strong>re are<br />

constra<strong>in</strong>ts on construct<strong>in</strong>g terrestrial psychologies, but<br />

also ma<strong>in</strong>ta<strong>in</strong> that <strong>the</strong>se constra<strong>in</strong>ts are ma<strong>in</strong>ly functional.<br />

S<strong>in</strong>ce it is possible to build many different k<strong>in</strong>ds of neural<br />

mechanisms with<strong>in</strong> <strong>the</strong>se constra<strong>in</strong>ts, this is compatible<br />

with multiple realizability.<br />

It might seem, however, that this claim runs afoul of<br />

an argument advanced by Bechtel <strong>and</strong> Mundale (1999).<br />

They suggest that <strong>the</strong> MR <strong>the</strong>sis only appears plausible<br />

because we allow Φ to be <strong>in</strong>dividuated coarsely <strong>and</strong> <strong>the</strong><br />

various Ψs to be <strong>in</strong>dividuated f<strong>in</strong>ely. “But if <strong>the</strong> gra<strong>in</strong> size is<br />

kept constant, <strong>the</strong>n <strong>the</strong> claim that psychological states are<br />

<strong>in</strong> fact multiply realized looks far less plausible. One can<br />

adopt ei<strong>the</strong>r a coarse or a f<strong>in</strong>e gra<strong>in</strong>, but as long as one<br />

uses a comparable gra<strong>in</strong> on both <strong>the</strong> bra<strong>in</strong> <strong>and</strong> m<strong>in</strong>d side,<br />

<strong>the</strong> mapp<strong>in</strong>g between <strong>the</strong>m will be correspond<strong>in</strong>gly<br />

systematic” (Bechtel <strong>and</strong> Mundale, 1999, p. 202).<br />

Whe<strong>the</strong>r we should adopt a f<strong>in</strong>e gra<strong>in</strong> at <strong>the</strong> higher<br />

level or not, though, depends on whe<strong>the</strong>r <strong>the</strong>se f<strong>in</strong>e<br />

gra<strong>in</strong>ed properties are <strong>in</strong>dependently certified as be<strong>in</strong>g<br />

<strong>the</strong>oretically ‘<strong>in</strong>terest<strong>in</strong>g’ <strong>in</strong> <strong>the</strong> relevant doma<strong>in</strong>. Suppose<br />

388<br />

The Functional Unity of Special Science K<strong>in</strong>ds — Daniel A. Weiskopf<br />

we decide that Limulus eyes <strong>and</strong> cat eyes do not really<br />

both perform lateral <strong>in</strong>hibition. Ra<strong>the</strong>r, <strong>the</strong>re is <strong>in</strong>hibition1<br />

<strong>and</strong> <strong>in</strong>hibition2, two different f<strong>in</strong>e-gra<strong>in</strong>ed psychophysical<br />

capacities had by creatures with correspond<strong>in</strong>gly different<br />

visual mechanisms.<br />

Anyth<strong>in</strong>g that performs <strong>in</strong>hibition1/2 performs<br />

<strong>in</strong>hibition, s<strong>in</strong>ce <strong>the</strong>y are related as determ<strong>in</strong>ate <strong>and</strong><br />

determ<strong>in</strong>able. But <strong>in</strong>hibition <strong>and</strong> <strong>in</strong>hibition1/2 play different<br />

explanatory roles. Expla<strong>in</strong><strong>in</strong>g why a system perceives<br />

Mach b<strong>and</strong>s may <strong>in</strong>volve advert<strong>in</strong>g to <strong>in</strong>hibition. Expla<strong>in</strong><strong>in</strong>g<br />

why it perceives b<strong>and</strong>s with <strong>the</strong>se precise characteristics,<br />

though, may <strong>in</strong>volve advert<strong>in</strong>g to <strong>in</strong>hibition1/2, s<strong>in</strong>ce those<br />

constitute <strong>the</strong> particular psychophysical capacities <strong>the</strong><br />

system has. Expla<strong>in</strong><strong>in</strong>g how a system <strong>in</strong>stantiates<br />

<strong>in</strong>hibition1/2 may <strong>in</strong>volve referr<strong>in</strong>g to <strong>the</strong> particular f<strong>in</strong>egra<strong>in</strong>ed<br />

neurobiological mechanism at work, <strong>and</strong> thus may<br />

<strong>in</strong>volve match<strong>in</strong>g f<strong>in</strong>e-gra<strong>in</strong>ed taxonomies. But expla<strong>in</strong><strong>in</strong>g<br />

how a system <strong>in</strong>stantiates <strong>in</strong>hibition might <strong>in</strong>volve draw<strong>in</strong>g<br />

attention ei<strong>the</strong>r to <strong>the</strong> particular f<strong>in</strong>e-gra<strong>in</strong>ed mechanism at<br />

work <strong>in</strong> that organism, or to <strong>the</strong> range of possible<br />

mechanisms that can br<strong>in</strong>g about that sort of capacity.<br />

The latter <strong>in</strong>volves a ‘gra<strong>in</strong> mismatch’ of <strong>the</strong> sort that<br />

Bechtel <strong>and</strong> Mundale warn aga<strong>in</strong>st. But it is hard to see<br />

why adopt<strong>in</strong>g this mixed taxonomy is a mistake. It can<br />

prove heuristically useful, for example, once one has<br />

characterized <strong>the</strong> general function of a cell type or bra<strong>in</strong><br />

region to <strong>the</strong>n propose a range of possible lower level<br />

mechanisms that might realize that function, <strong>the</strong>n proceed<br />

to rule <strong>the</strong>m out on <strong>the</strong> basis of side effects, predicted<br />

responses to <strong>in</strong>tervention, predicted anatomical<br />

consequences, <strong>and</strong> so on. Gra<strong>in</strong> ‘mismatches’ of this sort<br />

can serve a crucial heuristic role <strong>in</strong> discover<strong>in</strong>g<br />

mechanisms. So long as <strong>the</strong>re is a unified field of <strong>in</strong>quiry<br />

that works with both taxonomies simultaneously, <strong>the</strong> MR<br />

advocate can do so as well.<br />

4. Explanatory taxonomy <strong>and</strong> <strong>the</strong> special<br />

sciences<br />

I’ve argued that diverse lower-level mechanisms can converge<br />

on common functional traits at various levels of organization,<br />

<strong>and</strong> that this assumption can play a heuristic<br />

role <strong>in</strong> discover<strong>in</strong>g mechanisms. Now I will briefly sketch<br />

one way <strong>in</strong> which <strong>the</strong>se functional group<strong>in</strong>gs might be<br />

seen as k<strong>in</strong>ds.<br />

On Shapiro’s view, special sciences categories have<br />

a fundamentally taxonomic function: <strong>the</strong>y “collect <strong>and</strong><br />

order <strong>the</strong> doma<strong>in</strong> of a special science <strong>in</strong> a way that<br />

facilitates its <strong>in</strong>vestigation” (2000, p. 654). Functional<br />

concepts fix a range of ‘analytic’ truths about th<strong>in</strong>gs that<br />

fall under <strong>the</strong>m (e.g., eyes are for see<strong>in</strong>g). But not all<br />

functional concepts pick out categories that are equally<br />

<strong>in</strong>terest<strong>in</strong>g. Shapiro’s view leaves us with no way of<br />

expla<strong>in</strong><strong>in</strong>g why <strong>the</strong>re should be such a difference. This<br />

difference shows up <strong>in</strong> <strong>the</strong>ory construction because<br />

discover<strong>in</strong>g <strong>the</strong> right functional components out of which to<br />

build an organism’s control systems is non-trivial. Much of<br />

<strong>the</strong> work of build<strong>in</strong>g <strong>the</strong>ories, models, <strong>and</strong> simulations<br />

<strong>in</strong>volves f<strong>in</strong>d<strong>in</strong>g <strong>the</strong> appropriate concepts to analyze a<br />

system.<br />

Consider central pattern generators (CPGs). CPGs<br />

are units that produce regular oscillations endogenously or<br />

<strong>in</strong> response to <strong>in</strong>put. There are many different ways to<br />

assemble such circuits (e.g., out of ei<strong>the</strong>r multi-neuron<br />

arrays us<strong>in</strong>g <strong>in</strong>hibitory <strong>in</strong>terneurons, or out of local dendrodendritic<br />

connections). These structures differ <strong>in</strong> <strong>the</strong>ir

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