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Reduction and Elimination in Philosophy and the Sciences

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Dispens<strong>in</strong>g with Particulars: Underst<strong>and</strong><strong>in</strong>g Reference Through<br />

Anaphora<br />

Peter Meyer, Gött<strong>in</strong>gen, Germany<br />

1. Br<strong>and</strong>om’s <strong>the</strong>ory of reference<br />

The technical notion of particulars or objects as that which<br />

s<strong>in</strong>gular terms purport to refer to has been known at least<br />

s<strong>in</strong>ce Frege to be highly <strong>the</strong>ory-laden. Particularly from a<br />

non-representationalist po<strong>in</strong>t of view it is obvious that one<br />

cannot simply take some doma<strong>in</strong> of particulars as somehow<br />

simply antecedently understood or given. Instead,<br />

even language-specific syntactic patterns may have a<br />

crucial bear<strong>in</strong>g on <strong>the</strong> question of what may, under which<br />

circumstances, count as an object referred to (Schneider<br />

1992). To see how deeply this issue is entangled <strong>in</strong> foundational<br />

discussions about reference, it suffices to have a<br />

look at its repercussions <strong>in</strong> philosophical <strong>and</strong> l<strong>in</strong>guistic<br />

debates, e.g., with regard to <strong>the</strong> question of Me<strong>in</strong>ongian<br />

‘nonexistent objects’ (cf. <strong>the</strong> defense of some of Me<strong>in</strong>ong’s<br />

ideas <strong>in</strong> Parsons 1980) or to <strong>the</strong> many difficulties with abstract<br />

or fictional objects <strong>in</strong>, say, ‘Millian’ <strong>the</strong>ories of s<strong>in</strong>gular<br />

terms.<br />

From an <strong>in</strong>ferentialist perspective on language<br />

pragmatics <strong>and</strong> semantics, Robert Br<strong>and</strong>om has tried to<br />

explicate <strong>the</strong> notion of particular object <strong>in</strong> terms of s<strong>in</strong>gular<br />

term use, giv<strong>in</strong>g a supposedly <strong>in</strong>tra-l<strong>in</strong>guistic, deflationary<br />

account of reference <strong>and</strong> reject<strong>in</strong>g <strong>the</strong> idea that reference<br />

should be viewed as some sort of word-world relation<br />

(Br<strong>and</strong>om 1994; 2000). In his view, objects are given or<br />

specified by equivalence classes of symmetrically<br />

<strong>in</strong>tersubstitutable terms; more precisely, reference to<br />

particulars is seen as a social practice of attribut<strong>in</strong>g <strong>and</strong><br />

undertak<strong>in</strong>g what Br<strong>and</strong>om calls symmetric material<br />

substitution-<strong>in</strong>ferential commitments, that is, very roughly,<br />

commitments to which terms are <strong>in</strong>tersubstitutable salva<br />

veritate.<br />

Br<strong>and</strong>om ref<strong>in</strong>es this general picture by an account<br />

of anaphora as <strong>the</strong> mechanism that lets l<strong>in</strong>guistic<br />

token<strong>in</strong>gs <strong>in</strong>herit <strong>the</strong> substitution-<strong>in</strong>ferential commitments<br />

(<strong>and</strong> entitlements) associated with o<strong>the</strong>r token<strong>in</strong>gs<br />

(Br<strong>and</strong>om 1994, 455 seqq.). Expla<strong>in</strong><strong>in</strong>g anaphoric<br />

mechanisms is a vital part of Br<strong>and</strong>om’s enterprise s<strong>in</strong>ce<br />

<strong>the</strong>se mechanisms are needed to account for several<br />

important <strong>and</strong> <strong>in</strong>terrelated aspects of his overall account of<br />

language: First, an underst<strong>and</strong><strong>in</strong>g of how unrepeatable<br />

s<strong>in</strong>gular term expressions, such as <strong>in</strong>dexical expressions,<br />

provide a l<strong>in</strong>k to extral<strong>in</strong>guistic circumstances is needed <strong>in</strong><br />

order to expla<strong>in</strong> <strong>the</strong> empirical contentfulness of language<br />

use. Second, <strong>in</strong>ter-personal anaphoric connections<br />

account for <strong>the</strong> social, <strong>in</strong>terpersonal nature of l<strong>in</strong>guistic<br />

communication.<br />

As has been noted by some commentators,<br />

Br<strong>and</strong>om’s <strong>the</strong>oretical outlook on s<strong>in</strong>gular term reference<br />

is, on <strong>the</strong> face of it, ra<strong>the</strong>r stra<strong>in</strong>ed <strong>and</strong> idealized at least<br />

from a l<strong>in</strong>guist’s po<strong>in</strong>t of view (cf. Fodor <strong>and</strong> Lepore 2001).<br />

To give but one simple example, <strong>in</strong> many cases <strong>the</strong><br />

possibility of substitut<strong>in</strong>g one s<strong>in</strong>gular term for ano<strong>the</strong>r is<br />

subject to grammatical constra<strong>in</strong>ts such as concord. In<br />

fact, apart from <strong>the</strong> use of pronom<strong>in</strong>als <strong>and</strong> o<strong>the</strong>r strongly<br />

context-dependent proforms it is rarely <strong>the</strong> case that<br />

speakers would use different context-<strong>in</strong>dependent<br />

descriptions for <strong>the</strong> same object; <strong>the</strong>y would ra<strong>the</strong>r, on<br />

different occasions, make several different assertions<br />

about an object, assertions that are l<strong>in</strong>ked by an anaphoric<br />

cha<strong>in</strong>. This already suggests that, <strong>in</strong> some sense,<br />

anaphora might be <strong>the</strong> more primitive, object-constitutive<br />

relation vis-à-vis substitutional ones. Typically, it is only by<br />

us<strong>in</strong>g nom<strong>in</strong>alization constructions that <strong>in</strong>tersubstitutable<br />

s<strong>in</strong>gular terms come <strong>in</strong>to be<strong>in</strong>g <strong>in</strong> <strong>the</strong> first place. As far as<br />

language acquisition is concerned, it seems plausible that<br />

mastery of anaphoric relationships between utterances<br />

(such as grasp<strong>in</strong>g <strong>the</strong> k<strong>in</strong>d of semantic l<strong>in</strong>k between<br />

different utterance tokens conta<strong>in</strong><strong>in</strong>g <strong>the</strong> word mama)<br />

precedes, or is at least largely <strong>in</strong>dependent of, <strong>the</strong> ability to<br />

use different expressions (such as mama <strong>and</strong> dad’s wife)<br />

that can be more or less always be used <strong>in</strong>terchangeably.<br />

Perhaps more important <strong>in</strong> a philosophical context is <strong>the</strong><br />

fact that <strong>the</strong>re are serious problems on <strong>the</strong> semantic side,<br />

too; thus, it is possible to underst<strong>and</strong> descriptions whose<br />

extensions are known to be empty, even though, <strong>in</strong> such<br />

cases, no substitutional commitments are undertaken – no<br />

o<strong>the</strong>r term can be taken to be coreferential with <strong>the</strong> one<br />

given. A remedy for this problem can be found, I th<strong>in</strong>k –<br />

but it requires look<strong>in</strong>g at <strong>the</strong> anaphoric relationships empty<br />

s<strong>in</strong>gular terms may enterta<strong>in</strong> to one ano<strong>the</strong>r.<br />

2. Invert<strong>in</strong>g Br<strong>and</strong>om’s order of explanation<br />

In order to solve <strong>the</strong> above-mentioned <strong>and</strong> o<strong>the</strong>r issues, I<br />

propose to <strong>in</strong>vert Br<strong>and</strong>om’s order of explanation, tak<strong>in</strong>g<br />

<strong>the</strong> notion of coreference (i.e., <strong>the</strong> anaphoric relation hold<strong>in</strong>g<br />

between coreferential s<strong>in</strong>gular term tokens) as a <strong>the</strong>oretical<br />

basis for a deflationary account of l<strong>in</strong>guistic reference<br />

<strong>and</strong> ‘objecthood’. Similar to Br<strong>and</strong>om, <strong>the</strong> result is a<br />

non-representationalist view of l<strong>in</strong>guistic reference that<br />

does not take some relation between (parts of) l<strong>in</strong>guistic<br />

utterances <strong>and</strong> aspects or chunks of some possible or<br />

actual world as its start<strong>in</strong>g po<strong>in</strong>t. It is possible (but not conceptually<br />

necessary) to explicate <strong>the</strong> notion of coreference<br />

as understood here <strong>in</strong> terms of Br<strong>and</strong>omian <strong>in</strong>ferentialism,<br />

start<strong>in</strong>g with an account of what an implicit <strong>and</strong> normative<br />

practice of tak<strong>in</strong>g two terms <strong>in</strong> actual discourse to be<br />

coreferential actually consists <strong>in</strong>. Of course, if one th<strong>in</strong>ks<br />

along <strong>the</strong> l<strong>in</strong>es pursued here, coreference cannot simply<br />

be def<strong>in</strong>ed as <strong>the</strong> property of different token expressions to<br />

refer to ‘<strong>the</strong> same th<strong>in</strong>g’. Suffice it to say here that, <strong>in</strong> prototypical<br />

cases, coreference can create a ‘pragmatic l<strong>in</strong>k’<br />

between (aspects of) <strong>the</strong> utterance situation tokens <strong>in</strong>volved<br />

– a l<strong>in</strong>k that cannot be created by o<strong>the</strong>r k<strong>in</strong>ds of<br />

subsentential expressions. Two subsequently uttered sentences<br />

conta<strong>in</strong><strong>in</strong>g <strong>the</strong> adjective red are normally not<br />

<strong>the</strong>reby l<strong>in</strong>ked qua utterance tokens; <strong>in</strong> contrast, two subsequently<br />

uttered sentences conta<strong>in</strong><strong>in</strong>g <strong>the</strong> proper name<br />

John may give reason for a hearer to establish a pragmatically<br />

relevant connection between <strong>the</strong> two utterance tokens<br />

(e.g., upon hear<strong>in</strong>g first John is his room <strong>and</strong> <strong>the</strong>n<br />

be<strong>in</strong>g ordered Summon John here <strong>the</strong> addressee will<br />

probably go to John’s room <strong>in</strong> order to carry out <strong>the</strong> order).<br />

The k<strong>in</strong>d of ‘l<strong>in</strong>k’ created by coreferential terms is not some<br />

simple <strong>in</strong>variant but correlates, roughly speak<strong>in</strong>g, with <strong>the</strong><br />

k<strong>in</strong>d of sortal that one would use <strong>in</strong> talk<strong>in</strong>g about phenomena<br />

of <strong>the</strong> respective k<strong>in</strong>d. Deflationary though this approach<br />

is, it does allow for reconstruct<strong>in</strong>g ord<strong>in</strong>ary ‘reference<br />

talk’, even <strong>in</strong> a much less artificial way than <strong>the</strong> one<br />

proposed by Br<strong>and</strong>om: An utterance like In that utterance,<br />

<strong>the</strong> pronoun ‘he’ refers to John Doe is true if <strong>and</strong> only if <strong>the</strong><br />

221

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