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Reduction and Elimination in Philosophy and the Sciences

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<strong>and</strong> a concomitant dismissal of <strong>the</strong> research paradigm<br />

central to cognitive science <strong>and</strong> AI.<br />

In response, a st<strong>and</strong>ard l<strong>in</strong>e for defenders of this<br />

paradigm is to try <strong>and</strong> defuse <strong>the</strong> CRA by argu<strong>in</strong>g aga<strong>in</strong>st<br />

premise (2), <strong>and</strong> claim<strong>in</strong>g that <strong>the</strong> manipulated symbols<br />

really do possess some canonical mean<strong>in</strong>g or privileged<br />

<strong>in</strong>terpretation. However, I would urge that this is a serious<br />

strategic error for those who wish to defend <strong>the</strong><br />

computational approach. As stated above, a dist<strong>in</strong>guish<strong>in</strong>g<br />

ma<strong>the</strong>matical virtue of computational systems is precisely<br />

<strong>the</strong> fact that <strong>the</strong> formal calculus can be executed without<br />

any appeal to mean<strong>in</strong>g. Not only is an <strong>in</strong>terpretation<br />

<strong>in</strong>tr<strong>in</strong>sically unnecessary to <strong>the</strong> operation of computational<br />

procedures, but fur<strong>the</strong>rmore, <strong>the</strong>re is no unique<br />

<strong>in</strong>terpretation determ<strong>in</strong>ed by <strong>the</strong> computational syntax, <strong>and</strong><br />

<strong>in</strong> general <strong>the</strong>re are arbitrarily many dist<strong>in</strong>ct models for any<br />

given formal system.<br />

Computational formalisms are syntactically closed<br />

systems, <strong>and</strong> <strong>in</strong> this regard it is fitt<strong>in</strong>g to view <strong>the</strong>m <strong>in</strong><br />

narrow or solipsistic terms. They are, by <strong>the</strong>ir very nature,<br />

<strong>in</strong>dependent of <strong>the</strong> ‘external world’ of <strong>the</strong>ir <strong>in</strong>tended<br />

mean<strong>in</strong>g <strong>and</strong>, as mentioned above, <strong>the</strong>y are <strong>in</strong>capable of<br />

captur<strong>in</strong>g a unique <strong>in</strong>terpretation, s<strong>in</strong>ce <strong>the</strong>y cannot<br />

dist<strong>in</strong>guish between any number of alternative models.<br />

This can be encapsulated <strong>in</strong> <strong>the</strong> observation that <strong>the</strong><br />

relation between syntax <strong>and</strong> semantics is fundamentally<br />

one-to-many; any given formal system will have arbitrarily<br />

many different <strong>in</strong>terpretations. And this <strong>in</strong>tr<strong>in</strong>sically one-tomany<br />

character obviates <strong>the</strong> possibility of deriv<strong>in</strong>g or even<br />

attribut<strong>in</strong>g a unique semantical content merely on <strong>the</strong> basis<br />

of computational structure.<br />

The <strong>in</strong>herent limitations of syntactical methods<br />

would seem to cast a ra<strong>the</strong>r deflationary light on <strong>the</strong><br />

project of explicat<strong>in</strong>g mental content with<strong>in</strong> a<br />

computational framework. Indeed, <strong>the</strong>y would seem to<br />

render hopeless such goals as provid<strong>in</strong>g a computational<br />

account of natural language semantics or propositional<br />

attitude states. Non-st<strong>and</strong>ard models exit even for such<br />

rigorously def<strong>in</strong>ed doma<strong>in</strong>s as first-order arithmetic <strong>and</strong><br />

fully axiomatized geometry. And if <strong>the</strong> precise, artificial<br />

system of first-order arithmetic cannot even impose<br />

isomorphism on its various models, how <strong>the</strong>n could a<br />

program, designed to process a specific natural language,<br />

say Ch<strong>in</strong>ese, supply a basis for <strong>the</strong> claim that <strong>the</strong> units of<br />

Ch<strong>in</strong>ese syntax posses a unique mean<strong>in</strong>g?<br />

So I th<strong>in</strong>k that <strong>the</strong> advocates of computation make<br />

<strong>the</strong> wrong move by accept<strong>in</strong>g Searle’s bait <strong>and</strong> tak<strong>in</strong>g on<br />

board <strong>the</strong> attendant ‘symbol ground<strong>in</strong>g problem’ endemic<br />

to computational <strong>the</strong>ories of m<strong>in</strong>d. Instead I would accept<br />

Searle’s negative premise (2) <strong>and</strong> agree that computation<br />

is too weak to underwrite any <strong>in</strong>terest<strong>in</strong>g version of (1).<br />

Hence I would concur with Searle’s reason<strong>in</strong>g to <strong>the</strong> extent<br />

of accept<strong>in</strong>g <strong>the</strong> salient conditional claim that if (1) is true<br />

<strong>the</strong>n (3) is true as well. So <strong>the</strong> real crux of <strong>the</strong> issue lies <strong>in</strong><br />

<strong>the</strong> truth-value of (1), without which <strong>the</strong> consequent of <strong>the</strong><br />

if-<strong>the</strong>n statement cannot be detached as a free-st<strong>and</strong><strong>in</strong>g<br />

conclusion. Only by accept<strong>in</strong>g <strong>the</strong> traditional, a priori<br />

notion of mentality assumed <strong>in</strong> premise (1), does (3) follow<br />

from <strong>the</strong> truth of (2). And it’s here that I diverge from <strong>the</strong><br />

views of both Searle <strong>and</strong> orthodox cognitive science.<br />

3. Representation as Heuristics<br />

There have been a number of prom<strong>in</strong>ent positions advanced<br />

<strong>in</strong> negative reaction to ‘classical’ cognitive science<br />

that take anti-representationalism as one <strong>the</strong>ir hallmarks,<br />

<strong>in</strong>clud<strong>in</strong>g dynamical systems <strong>the</strong>ory (e.g Van Gelder<br />

314<br />

The <strong>Elim<strong>in</strong>ation</strong> of Mean<strong>in</strong>g <strong>in</strong> Computational Theories of M<strong>in</strong>d — Paul Schweizer<br />

1996), behaviour based robotics (e.g. Brooks 1991), approaches<br />

utiliz<strong>in</strong>g sensory-motor affordances (e.g. Noe<br />

2004), who campaign on <strong>the</strong> platform of ‘<strong>in</strong>telligence without<br />

representation’. In order to locate my position on <strong>the</strong><br />

philosophical l<strong>and</strong>scape, it is salient to note that it is not<br />

anti-representational <strong>in</strong> this sense. On my view, <strong>the</strong>re<br />

could well be <strong>in</strong>ternal structures that play many of <strong>the</strong> roles<br />

that people would ord<strong>in</strong>arily expect of representations, <strong>and</strong><br />

this is especially true at <strong>the</strong> level of perception, sensorymotor<br />

control <strong>and</strong> navigation – th<strong>in</strong>gs like spatial encod<strong>in</strong>gs,<br />

somatic emulators, <strong>in</strong>ternal mirror<strong>in</strong>gs of salient aspects<br />

of <strong>the</strong> external environment. So, unlike <strong>the</strong> antirepresentationalists,<br />

I do not deny that <strong>the</strong>re may be <strong>in</strong>ternal<br />

structures <strong>and</strong> st<strong>and</strong>-<strong>in</strong>s that various people would be<br />

tempted to call ‘representations’.<br />

But I would argue that this label should be construed<br />

<strong>in</strong> a weak, operational sense, <strong>and</strong> should not be conflated<br />

with <strong>the</strong> more robust traditional conception. To <strong>the</strong> extent<br />

that <strong>in</strong>ternal structures can encode, mirror or model<br />

external objects <strong>and</strong> states of affairs, <strong>the</strong>y do so via <strong>the</strong>ir<br />

own causal <strong>and</strong>/or syntactic properties. And aga<strong>in</strong>, to <strong>the</strong><br />

extent that <strong>the</strong>y <strong>in</strong>fluence behaviour or <strong>the</strong> <strong>in</strong>ternal<br />

process<strong>in</strong>g of <strong>in</strong>puts to yield outputs, <strong>the</strong>y do this solely <strong>in</strong><br />

virtue of <strong>the</strong>ir causal <strong>and</strong>/or syntactic properties. There is<br />

noth<strong>in</strong>g about <strong>the</strong>se <strong>in</strong>ternal structures that could support<br />

Searle’s or Brentano’s notion of orig<strong>in</strong>al <strong>in</strong>tentionality, <strong>and</strong><br />

<strong>the</strong>re is no <strong>in</strong>dependent or objective fact of <strong>the</strong> matter<br />

regard<strong>in</strong>g <strong>the</strong>ir ‘real’ content or mean<strong>in</strong>g.<br />

The crucial po<strong>in</strong>t to notice is that <strong>the</strong>se <strong>in</strong>ternal<br />

‘representations’ do all <strong>the</strong>ir scientifically tangible cognitive<br />

work solely <strong>in</strong> virtue of <strong>the</strong>ir physical/formal/ma<strong>the</strong>matical<br />

structure. There is noth<strong>in</strong>g about <strong>the</strong>m, qua efficacious<br />

elements of <strong>in</strong>ternal process<strong>in</strong>g, that is ‘about’ anyth<strong>in</strong>g<br />

else. Content is not an explicit component of <strong>the</strong> <strong>in</strong>put, nor<br />

is it acted upon or transformed via cognitive computations.<br />

All that is explicitly present <strong>and</strong> causally relevant are<br />

computational structure plus support<strong>in</strong>g physical<br />

mechanisms, which is exactly what one would expect from<br />

a naturalistic account. In order for cognitive structures to<br />

do <strong>the</strong>ir job, <strong>the</strong>re is no need to posit some additional<br />

‘content’, ‘semantical value’, or ‘external referent’. Such<br />

representation talk may serve a useful heuristic role, but it<br />

rema<strong>in</strong>s a conventional, observer-relative ascription, <strong>and</strong><br />

accord<strong>in</strong>gly <strong>the</strong>re’s no <strong>in</strong>dependent fact of <strong>the</strong> matter, <strong>and</strong><br />

so <strong>the</strong>re isn’t a sense <strong>in</strong> which it’s possible to go wrong or<br />

be mistaken about what an <strong>in</strong>ternal configuration is ‘really’<br />

about. Instead, representational content is projected onto<br />

an <strong>in</strong>ternal structure when this plays an opportune role <strong>in</strong><br />

characteriz<strong>in</strong>g <strong>the</strong> overall process<strong>in</strong>g activities which<br />

govern <strong>the</strong> system’s <strong>in</strong>teractions with its environment, <strong>and</strong><br />

hence <strong>in</strong> predict<strong>in</strong>g its salient <strong>in</strong>put/output patterns. But it is<br />

simply a matter of convenience, convention <strong>and</strong> choice.<br />

From <strong>the</strong> po<strong>in</strong>t of view of <strong>the</strong> system, <strong>the</strong>se <strong>in</strong>ternal<br />

structures are manipulated directly, <strong>and</strong> <strong>the</strong> notion that<br />

<strong>the</strong>y are ‘directed towards’ someth<strong>in</strong>g else plays no role <strong>in</strong><br />

<strong>the</strong> pathways lead<strong>in</strong>g from cognitive <strong>in</strong>puts to <strong>in</strong>telligent<br />

outputs. Hence <strong>the</strong> symbol ground<strong>in</strong>g problem is a red<br />

herr<strong>in</strong>g – it isn’t necessary to quest after some elusive <strong>and</strong><br />

mysterious layer of content, for which <strong>the</strong>se <strong>in</strong>ternal<br />

structures serve as <strong>the</strong> syntactic ‘vehicle’. Syntactical <strong>and</strong><br />

physical processes are all we have, <strong>and</strong> <strong>the</strong>ir efficacy is<br />

not affected by <strong>the</strong> presence or absence of mean<strong>in</strong>g. I<br />

would argue that <strong>the</strong> computational paradigm is<br />

<strong>the</strong>matically <strong>in</strong>consistent with <strong>the</strong> search for content or its<br />

supposed vehicles. Instead, computational models of<br />

cognition should be concerned only with <strong>the</strong> process<strong>in</strong>g<br />

structures that yield <strong>the</strong> right k<strong>in</strong>ds of <strong>in</strong>put/output profiles,<br />

<strong>and</strong> with how such structures can be implemented <strong>in</strong> <strong>the</strong><br />

bra<strong>in</strong>. These are <strong>the</strong> factors that do <strong>the</strong> work <strong>and</strong> are

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