Convention, Novelty, and Truth in Language

We have been exploring the earliest publicly available work of the great contemporary philosopher Robert Brandom, his doctoral dissertation from 1976. He has been concerned to develop the philosophy of language along pragmatist lines, while working hard to point out that a pragmatist approach need not be construed as globally rejecting talk about objectivity, truth, and reality. The pragmatist approach is appealing as a sort of third way that avoids both subjectivist and objectivist excesses. This is the last chapter before his conclusion.

“[W]e saw how the notion of truth and the truth conditions of sentences could arise in a pragmatic investigation into the social practices which are the use of a language by a population. That is, we saw how an account of social practices (which are whatever the linguistic community takes them to be) can require us to consider the sentences uttered in those practices as making claims which are objectively true or false, regardless of what the community takes them to be” (Brandom, Practice and Object, p. 129).

He has argued earlier that understanding the meaning of compound sentences (in which one clause refers to and modifies another) implicitly does after all presuppose a technical concept of truth that goes beyond the warranted assertibility that Dewey recommends as a less pretentious replacement for truth-talk.

Both in ordinary life and in ordinary ethical discourse, warranted assertibility — justification in taking things to be such-and-such — is able to do the work commonly allotted to claims about truth that is what it is independent of us. But insofar as we engage in the meta-level discourse about discourse that is already implied by the understanding of compound sentences, it becomes necessary to introduce a distinction between how things are for us and how they are in themselves. This kind of situation can also be seen as motivation for Kant’s talk about “things in themselves”.

“[W]e will see how that sort of inquiry requires that a sophisticated grammar be attributed to the language being investigated, and in particular requires notions of syntactic deep-structure, meaning, and denotation or reference. We thus extend the method of the previous chapter to consider sub-sentential linguistic components, and see what it is about the practices associated with them in virtue of which it is appropriate to associate them with objective things or features” (pp. 129-130).

He will defend Chomsky’s notion of deep syntactic structure objectively existing in natural language against Quine’s instrumentalist critique.

Only by abstraction from things said do we come to consider individual words in isolation. In common with his later work and at odds with the standard compositional account of meaning in linguistics and analytic philosophy of language, in the understanding of meaning Brandom here gives explanatory priority to sentences over words, and to propositions over terms. This will be more explicitly thematized in his later work.

The compound sentences analyzed by Dummett that Brandom refers to as requiring an auxilary notion of truth beyond epistemic justifiability partake of the character of discourse about discourse, because some parts of them refer to and modify other parts.

He considers what it means to investigate the use of a natural language — what he will later call normative pragmatics. Investigating language use implicitly means investigating proprieties of use, along with their origin and legitimation. We may also collect ordinary empirical facts about the circumstances of concrete “takings” of propriety and legitimacy and their contraries, without prejudice as to whether or not those takings are ultimately to be endorsed by us.

Using the neutral language of “regularities”, he specifies a sort of minimalist, almost behaviorist framework for investigating language use that is designed to be acceptable to empiricists. In later work, he develops a detailed analogy between the deontic moral “necessity” of Kantian duty and a “subjunctively robust” modal necessity of events following events that is inspired by the work of analytic philosopher David Lewis on modality and possible worlds.

“We may divide these regularities of conduct into two basic kinds: Regularities concerning what noises are made, and regularities concerning the occasions on which they are made…. The phonetic descriptions are just supposed to be some rule which tells us what counts as an instance of what utterance-type…. Without attempting to say anything more specific about these regularities, we can express what a speaker, as we say, ‘knows’, when he knows how to use an utterance-type by associating with it a set of assertibility conditions” (p. 130).

“In terms of these notions, we can represent a language by a set of ordered pairs called sentences. The first element of each ordered pair is a phonetic description and the second element is a set of assertibility conditions…. A linguist who has such a representation of the sentences of some alien language ought to be able, subject to various practical constraints, to duplicate the competence of the natives, that is, to converse with them as they converse with each other” (p. 131).

Here he is applying a stipulative re-definition of the ordinary English word “sentence”. “Ordered” pair just means it is always possible, given a member of the pair, to say which member it is. The pair here consists of 1) the sequence of sounds by which a particular sentence is identified, and 2) the conditions under which it is appropriate to use that sentence.

“[A] theory of the use of a language just is some mechanism for generating a list of ordered pairs of phonetic descriptions and assertibility conditions which codifies the social practices which are speaking the language” (p. 132).

Every sentence in every natural language has the two above aspects — a recognizable series of sounds that identifies it, and conditions for its appropriate use.

“Speaking only about the first element of the ordered pairs which we have taken to specify a language, Quine takes the task of a theory of syntax to be the generation of the infinite set of phonetic descriptions. He then argues that if the aim of a theory of syntax is determined by this target description of speaker competence, then many different axiomatizations will generate the same set of phonetic descriptions, and hence be descriptively adequate. Insofar as a theory of syntax is a part of the project of generating the right set of sentences, then, we may choose between alternative theories only on the basis of convenience of their representation (pp. 132-133).”

This is an example of Quine’s instrumentalism that was mentioned earlier. Syntactic constructs in a natural language like English are identifiable by their mapping to distinct series of sounds. I haven’t spent enough time on Quine directly to say much more at this point, but to identify syntax with the phonetics used to pick out syntactic distinctions seems reductionst. Before criticizing it, he elaborates on Quine’s view.

“Representing the conversational capacities as ordered pairs of phonetic descriptions and assertibility conditions, we will see a good translation as associating with each phonetic description in one language a phonetic description in the other which is paired with the same assertibility conditions…. In this way a translation function would enable one to converse in a foreign language. If the goals of translation are regarded as determined in this way by pairs of phonetic descriptions and assertibility conditions, then convenience of representation and arbitrary choice will enter here as much as on the syntactic side” (p. 133).

“Denotational relations are presumably correlations between phonetically distinguishable elements … which appear in the phonetic descriptions of many sentences, and some element which regularly appears in the assertibility conditions of those sentences. A theory of denotation would consist of a relatively small list of such correlations, together with a set of structural rules which would permit the derivation of the full set of ordered pairs which are the sentences of the language, by combination of the various elements…. If one such axiomatization or recipe is possible, many are” (p. 134).

“More generally, given any scheme, we can substitute as the denotation of any phonetically specified expression anything systematically related to it, …and adjust the rest of the scheme to get the same assertibility conditions” (pp. 135-136).

“The point is that we may think of a language as being an abstract object consisting of a set of social practices…. If one now considers the various theoretical notions which have been thought to be crucial to the specification of a language by those who are not primarily concerned with social practices — the syntactic and semantic structure of its sentences, their meaning and the denotation of expressions occurring in them — one finds these notions playing drastically reduced roles” (p. 136).

“It is our purpose in this chapter to show how to circumvent … conventionalism while retaining the pragmatic point of view which renders language as comprised of social practices” (p. 137).

Classic 20th century analytic philosophy has a very thin notion of language use, effectively identifying it with empirically existing conventions. In contrast to this, Brandom sees in Noam Chomsky’s linguistics a crucial recognition of the ubiquity of linguistic novelty. He quotes Hilary Putnam’s critique of conventionalism:

“We see now why conventionalism is not usually recognized as essentialism. It is not usually recognized as essentialism because it is negative essentialism. Essentialism is usually criticized because the essentialist intuits too much. He claims to see that too many properties are part of a concept. The negative essentialist, the conventionalist, intuits not that a great many strong properties are part of a concept, but that only a few could be part of a concept” (ibid).

In contemporary usage, “essentialism” is a bad thing that consists in taking putatively unproblematic essences of things for granted. In contrast, Plato and Aristotle’s preoccupation with questions of what we translate as “essence” reflects a significant problematization.

Brandom now turns to a careful criticism of Quine.

“Quine’s arguments as we have reconstructed them seek to show that, for a particular specification …, the role of a translation function (or of syntactic deep structure, or of denotational scheme) can be played equally well by a number of different notions” (p. 138).

“Such sound conventionalist arguments cannot be refuted. They can be shown not to impugn the usefulness or objectivity of the notions they apply to. To do this one simply has to come up with some other project, with respect to which the various versions of, e.g., translation, do not play equally well the role that notion is invoked to play” (pp.138-139).

“The question I want to consider is, roughly, where the assertibility conditions and phonetic descriptions come from. In virtue of what does a sentence have the assertibility conditions and phonetic description that it does?” (p. 140).

Questions about conventional use are questions of empirical fact. Brandom’s “in virtue of what” question is on the other hand properly philosophical, in a sense that Plato and Aristotle would recognize.

We come to Brandom’s defense of Chomsky against Quine.

“Chomsky has argued on statistical grounds that most sentences used by adult native speakers have never been heard or used by that speaker before, and indeed that the majority of these have never been uttered by anyone in the history of the language. This is a striking empirical observation of far-reaching theoretical significance. Let us consider the sentences of English which have never yet been used. Not just any phonetic description is the phonetic description of some sentence of this set…. But a native speaker can not only discriminate between the phonetic descriptions which are on this list and conform to them in his own utterances, he has exactly the same acquaintance with the assertibility conditions of such a sentence that he does with the assertibility conditions of some familiar sentence like ‘Please pass the salt’. That is, a native speaker can discriminate between occasions on which it might be appropriately used and those on which it would be inappropriate. Granting, as we must, that there is a community of dispositions concerning these novel sentences which is sufficient to determine a social practice regarding their use, a notion of correct or incorrect utterance, surely this fact is remarkable. Why should the community agree as much about how to use sentences no one has ever heard before as about how to use common ones?” (pp. 140-141).

“For human beings, training in the use of the relatively few sentences we have actually been exposed to determines how we will use (or would use) the vast majority of sentences which we have not been exposed to” (p. 142).

“The question ‘In virtue of what is there a correct usage for a sentence no one has ever used before’ is distinct from, but not independent of the question ‘How do individual members of the linguistic community come to acquire dispositions which conform to the standard of correct usage for novel sentences?’ The questions are distinct because no individual’s dispositions, however acquired, establish a standard of correct usage. The questions are not independent since using a sentence is a social practice…. The question of how such agreement is achieved, its source and circumstance, is clearly related to the question of how individuals come to behave in ultimately agreeable ways…. The explanation of projection by populations must ultimately rest on facts about individual projective capacities…, although that explanation need not resemble the explanation of any such individual capacity” (pp. 143-144).

He clarifies what he means by projection.

“I want to argue that a theory of grammar is properly a part of the attempt to explain and predict the projective capacities of language-using populations. A theory of syntactic structure, of meaning, and of denotation and truth are to provide a framework for accounting for the empirical fact that the practices of a population which are the use of [a] relatively small number of sentences of a natural language determines, for that population, the use of a potentially infinite remainder they have never been exposed to” (p. 144).

“The notion of ‘grammar’ which I am addressing here is that of an interpreted categorial-transformational grammar. Such a grammar is an account of the generation of surface sentences of a language … from an underlying set of deep structures” (p. 144).

This is grammar in a Chomskyan rationalist, antibehaviorist sense.

“The projective capacities which are to be explained are obviously not entailed by the practices and dispositions codified in a set of those phonetic descriptions and assertibility conditions…. An account of projection is thus an explanation of how people, being the sorts or organisms that we are, can engage in the complex social practices we do engage in. It is just this sort of inquiry which we considered … as the sort of inquiry within which the objects involved in a practice become important” (p. 145).

This puts new light on how individual words and phrases come to mean what they do.

“Consideration of projective facts of this sort can lead us, further, to attribute structural classes of sub-sentential components to some speaker” (ibid).

“We are interested in seeing how, by looking at facts about the acquisition of vocabulary and compounding forms by a subject, we can in principle explain his open-ended competence to use novel utterances, by exhibiting that competence as the product of projective capacities associated with classes of sub-sentential components” (p. 147).

“Projective classes for an individual were pictured as attributed on the basis of two sorts of acquisition, roughly the acquisition of some projective form, and the acquisition of vocabulary” (pp. 147-148).

“Indeed, it is only in terms of such projective dispositions that we can explain the notion of correctness for novel utterances. We can only explain how there should be such an agreement in terms of shared structural classes induced by familiar expressions, which determine the projection to novel utterances” (p. 148).

Linguistic structure is a theoretical object of just the kind whose status is a matter of dispute between the realists and the instrumentalists.

“This picture of linguistic structure as postulated to account for a speaker’s ability to use novel utterances correctly, on the basis of facts about the acquisition of capacities to project sub-sentential expressions, leads immediately to a change in the criteria of adequacy we impose upon translation functions, and accordingly to a change in the notion of the ‘meaning’ of a sentence which is preserved by translation” (p. 150).

From an empiricist point of view, questions about norms are questions of fact about what is usually the case. Empirical norms are “norms” in a non-normative, statistical sense of “normal” that has nothing to do with what should be the case, except accidentally. The projection of grammar to novel cases on the other hand is possible because grammar has a properly normative sense of “right” usage that is independent of whatever we conclude are the facts about statistically “usual” usage.

“[I]f translation is really to transform the capacity to speak one language into the capacity to speak another, it must transform an individual’s capacity to project novel sentences…. In order to learn to speak the new language, to form novel sentences and use them appropriately, an individual must have a translation-scheme which does more than match assertibility conditions. It must generate the matched assertibility conditions of an infinite number of sentences on the basis of a familiarity with the elements out of which they are constructed, as exhibited in fairly small samples” (p. 150).

Speaking is not merely the utterance of sounds, and it is not just an imitation of other speaking. Concrete meanings presuppose learned notions of rightness or goodness of fit that are furthermore always in principle disputable. This also requires a non-behaviorist account of learning.

“Our account of this fact must show how what the subject learned to do before enables him to use this expression in just this way now, even though he has never been exposed to a correct use of it” (p. 151).

“Projection is not just a matter of using novel utterances, but also of using familiar ones under novel circumstances” (ibid).

“We can conclude that competence involved, not just in using … a free-standing utterance, but in projecting it as a genuine component of compound utterances, cannot be expressed merely by assertibility conditions, but requires some additional element” (p. 153).

“We should notice that the argument we have just considered is formally analogous to two arguments we have seen before. In the first place, it is just the same style of argument which we employed … in order to show that truth conditions were required to account for the contribution by component sentences to the assertibility conditions of compound sentences containing them…. All we have done here is to extend the earlier argument to sub-sentential compounding, an extension made possible by the more detailed consideration of why compounding is important. Second, this argument … is analogous to the ‘syntactic’ arguments of Chomsky…. In each case similar surface forms (phonetic descriptions and assertibility conditions respectively) are assigned different deep structures on the basis of their different projective roles…. So it is clear that these expressions would have to be associated with something besides assertibility conditions in our theory of their projection anyway” (pp. 154-155).

“Our explanation of the fact that there are correct phonetic descriptions and assertibility conditions for sentences no one has ever used before will be that the use of those sentences is determined by the grammar, … and that any individual’s learning to use the language is his learning to conform to the regularities of projection codified in that grammar” (p. 156).

“We have found that explaining the actual, empirical generation of the sentences of the language, shown by the sorts of projection of one corpus of utterances onto another which actually occur, requires that structural elements underlying phonetic structure be assigned to parallel structural elements underlying the assertibility conditions…. Just as the structure underlying the phonetic descriptions is plausibly identified as syntactic structure, so the corresponding structure underlying assertibility conditions is plausibly identified with semantic structure” (ibid).

“The same argument which gave us objective truth conditions … may thus be extended, within the context of our more detailed account of the empirical project which produces a grammar, to yield a parallel account of the function and origin of objective denotations” (p. 158).

“The case of the brown rabbit with a white foot shows that the denotations associated with the expressions ‘rabbit’ and ‘undetached rabbit-part’ must determine in some way the boundaries which white patches must exhibit in order to be grounds for reporting white rabbits or white undetached rabbit-parts” (ibid).

“But the boundaries which determine what objects or objective features are denoted by the expressions are not apparent boundaries…. Explaining the different patterns of projection of the elements of these pairs requires an objective difference in boundaries around white patches” (p. 159).

“It is important to realize that our grammar does not just seek to account for individual linguistic competence. It seeks to account for the shared projective practices in virtue of which there is a distinction between correct and incorrect uses of sentences no one has ever used before…. The grammar must account for the correct and incorrect potential uses of even quite complicated sentences which the ordinary man would never use” (ibid).

“[D]enotational schemes are part of an empirical explanation of certain social practices. Such explanations must cohere with the empirical explanations we are prepared to offer for other sorts of human conduct…. It is a prime virtue of the account we have offered of the question to which a grammar would be an answer that it shows us we can pick the objects in terms of which we explain projective practices in the same way we pick the objects in terms of which we explain color vision, indigestion, and quasars” (p. 162).

Here he is appealing to empirical explanation, and to something like the positivist notion of the unity of science. I am inclined to go to the opposite extreme, and to argue that genuine explanation is never merely empirical. There are empirical things, and we do want to explain them. There also is an empirical field of experience, but it too belongs to what is to be explained. In themselves empirical things do not explain anything. I think, though, that coherence does not apply only to explanation. There is also an implicit coherence on the level of what is to be explained. That is the sounder basis of the ideal of the unity of science.

In later work he explicitly criticizes empiricism in the philosophy of science, but he continues to be interested in empirical things, as evinced by many of his examples and by the theme of “semantic descent” in A Spirit of Trust.

Things Themselves

Husserl continues his Logical Investigations with a long critical discussion of the then-current tendency to reduce logic to psychological “laws” of mental operations, which are in turn supposed to be reducible to empirically discoverable facts. He then begins to discuss what a pure logic ought to be. “We are rather interested in what makes science science, which is certainly not its psychology, nor any real context into which acts of thought are fitted, but a certain objective or ideal interconnection which gives these acts a unitary relevance, and, in such unitary relevance, an ideal validity” (p. 225).

To do this, we need to look at both things and truths from the point of view of their interconnections. In his famous phrase, we need to go “to the things themselves”. As Aristotle emphasized before, we need to look carefully at distinctions of meaning.

Expressive meanings are not the same thing as indicative signs. Meaning for Husserl is not reducible to what it refers to; it originates in a kind of act, though it is not to be identified with the act, either. Verbal expressions have an “intimating” function. “To understand an intimation is not to have conceptual knowledge of it… it consists simply in the fact that the hearer intuitively takes the speaker to be a person who is expressing this or that” (p. 277). “Mutual understanding demands a certain correlation among the acts mutually unfolded in intimation…, but not at all in their exact resemblance” (p. 278). “In virtue of such acts, the expression is more than a sounded word. It means something, and insofar as it means something, it relates to what is objective” (p. 280). “The function of a word… is to awaken a sense-conferring act in ourselves” (p. 282).

“Our interest, our intention, our thought — mere synonyms if taken in sufficiently wide senses — point exclusively to the thing meant in the sense-giving act” (p. 283). “[A]ll objects and relations among objects only are what they are for us, through acts of thought essentially different from them, in which they become present to us, in which they stand before us as unitary items that we mean” (ibid).

“Each expression not merely says something, but says it of something: it not only has a meaning, but refers to certain objects” (p. 287). “Two names can differ in meaning but can name the same object” (ibid). “It can happen, conversely, that two expressions have the same meaning but a different objective reference” (p. 288). “[A]n expression only refers to an objective correlate because it means something, it can rightly be said to signify or name the object through its meaning” (p. 289). “[T]he essence of an expression lies solely in its meaning” (ibid).

“Expressions and their meaning-intentions do not take their measure, in contexts of thought and knowledge, from mere intuition — I mean phenomena of external or internal sensibility — but from the varying intellectual forms through which intuited objects first become intelligibly determined, mutually related objects” (ibid). Meanings do not have to do with mental images.

“It should be quite clear that over most of the range both of ordinary, relaxed thought and the strict thought of science, illustrative imagery plays a small part or no part at all…. Signs are in fact not objects of our thought at all, even surrogatively; we rather live entirely in the consciousness of meaning, of understanding, which does not lapse when accompanying imagery does so” (p. 304). “[A]ny grasp is in a sense an understanding and an interpretation” (p. 309).

“Pure logic, wherever it deals with concepts, judgments, and syllogisms, is exclusively concerned with the ideal unities that we here call ‘meanings'” (p. 322). “[L]ogic is the science of meanings as such, of their essential sorts and differences, as also of the ideal laws which rest purely on the latter” (p. 323). “Propositions are not constructed out of mental acts of presentation or belief: when not constructed out of other propositions, they ultimately point back to concepts…. The relation of necessary consequence in which the form of an inference consists, is not an empirical-psychological connection among judgements as experiences, but an ideal relation among possible statement-meanings” (p. 324).

“Though the scientific investigator may have no reason to draw express distinctions between words and symbols, on the one hand, and meaningful thought-objects, on the other, he well knows that expressions are contingent, and that the thought, the ideally selfsame meaning, is what is essential. He knows, too, that he does not make the objective validity of thoughts and thought-connections, … but that he sees them, discovers them” (p. 325).

“All theoretical science consists, in its objective content, of one homogeneous stuff: it is an ideal fabric of meanings” (ibid). “[M]eaning, rather than the act of meaning, concept and proposition, rather than idea and judgement, are what is essential and germane in science” (ibid). “The essence of meaning is seen by us, not in the meaning-conferring experience, but in its ‘content'” (p. 327).

Searching for a Middle Term

“But nothing, I think, prevents one from in a sense understanding and in a sense being ignorant of what one is learning” (Aristotle, Posterior Analytics; Complete Works revised Oxford edition vol. 1, p. 115). The kind of understanding spoken of here involves awareness “both that the explanation because of which the object is is its explanation, and that it is not possible for this to be otherwise” (ibid). To speak of the “explanation because of which” something is suggests that the concern is with states of affairs being some way, and the “not… otherwise” language further confirms this.

Following this is the famous criterion that demonstrative understanding depends on “things that are true and primitive and immediate and more familiar than and prior to and explanatory of the conclusion…. [T]here will be deduction even without these conditions, but there will not be demonstration, for it will not produce understanding” (ibid). The “more familiar than” part has sometimes been mistranslated as “better known than”, confusing what Aristotle carefully distinguishes as gnosis (personal acquaintance) and episteme (knowledge in a strong sense). I think this phrase is the key to the whole larger clause, giving it a pragmatic rather than foundationalist meaning. (Foundationalist claims only emerged later, with the Stoics and Descartes.) The pedagogical aim of demonstration is to use things that are more familiar to us — which for practical purposes we take to be true and primitive and immediate and prior and explanatory — to showcase reasons for things that are slightly less obvious.

Independent of these criteria for demonstration, the whole point of the syllogistic form is that the conclusion very “obviously” and necessarily follows, by a simple operation of composition on the premises (A => B and B => C, so A=> C). Once we have accepted both premises of a syllogism, the conclusion is already implicit, and that in an especially clear way. We will not reach any novel or unexpected conclusions by syllogism. It is a kind of canonical minimal inferential step, intended not to be profound but to be as simple and clear as possible.

(Contemporary category theory grounds all of mathematics on the notion of composable abstract dependencies, expressing complex dependencies as compositions of simpler ones. Its power depends on the fact that under a few carefully specified conditions expressing the properties of good composition, the composition of higher-order functions with internal conditional logic — and other even more general constructions — works in exactly the same way as composition of simple predications like “A is B“.)

Since a syllogism is designed to be a minimal inferential step, there is never a question of “searching” for the right conclusion. Rather, Aristotle speaks of searching for a “middle term” before an appropriate pair of premises is identified for syllogistic use. A middle term like B in the example above is the key ingredient in a syllogism, appearing both in the syntactically dependent position in one premise, and in the syntactically depended-upon position in the other premise, thus allowing the two to be composed together. This is a very simple example of mediation. Existence of a middle term B is what makes composition of the premises possible, and is therefore what makes pairings of premises appropriate for syllogistic use.

In many contexts, searching for a middle term can be understood as inventing an appropriate intermediate abstraction from available materials. If an existing abstraction is too broad to fit the case, we can add specifications until it does, and then optionally give the result a new name. All Aristotelian terms essentially are implied specifications; the names are just for convenience. Aristotle sometimes uses pure specifications as “nameless terms”.

Named abstractions function as shorthand for the potential inferences that they embody, enabling simple common-sense reasoning in ordinary language. We can become more clear about our thinking by using dialectic to unpack the implications of the abstractions embodied in our use of words. (See also Free Play; Practical Judgment.)