KATZ' MANY (ALLEGED) EXPLANANDA
I complained in class that Katz is drastically unclear as to what a semantic theory of his sort is supposed to explain. And the differences matter. I'll document that a bit here.
But first, I return to Ted's question: What
has Katz' paper to do with concepts, either in M&L's special
sense or in a more general sense?
Directly, nothing. Katz sketches a linguistic
theory; its subject-matter is English, a public natural language.
So
far as it has to do with human psychology, it is a theory of language
understanding and language processing. If we construe it as
a cognitive theory, it will posit mental representations, all right, but
those representations will be representations of phrase markers, syntactic
categories, semantic properties such as entailment, and so forth--not representations
of cows or cats or can-openers, not concepts of the kind that concern M&L.
Rather, it seems M&L included it because
they take it to have suggested the Classical Theory. I don't recall
Katz' talking of necessary and sufficient conditions, but we may imagine
that his kind of dictionary entry for an English morpheme could be rewritten
as a set of necessary and sufficient conditions. Thus, (4.10) on
p. 135 suggests:
Assuming he'd accept that, then he is saying of something that it's a set of necessary and sufficient conditions. But what he's saying it of is a word meaning. To make this into a theory of concepts in any psychological sense, at least a bit of work would have to be done. (N.b., though, since word meaning is a perfectly good thing to mean by "concept" if one chooses to, Katz' theory is in that way a theory of concepts.) Remember DORIT'S MAXIM: Don't simply assume that a property of language or of a linguistic feature has a psychological correlate, or vice versa.x is a chair <=> x is furniture & x is portable & x has legs & x has a back & ....
But back to Katz' paper.
As I said, there is nearly constant unclarity
as to whether Katz is (a) talking about actual cognitive processing, (b)
offering a loose rational reconstruction of what might be going on, or
(c) not talking about psychology at all, but only offering an abstract
quasi-mathematical theory of semantic properties and relations. In
his later book, Language and Other Abstract Objects, he vigorously
repudiated any psychological interpretation of syntax or semantics, and
embraced (c); but in the 1972 work we've read he hadn't made up his mind.
P. 127: He says we want an "explanation
of the correlation of semantic and phonetic interpretations." Psychological
connection, or merely abstract formal correlation?
P. 128: He says we want the theory to
spit out a recursive enumeration of the set of possible senses. That
sounds more abstract and mathematical than psychological, but it could
be abstracted from a serious psychological idea.
Further down p. 128: He says the explanation
"must assume that the speaker possesses" semantic rules "that enable
him to obtain the meaning...." So now we're explaining something
about the speaker, a presumed cognitive achievement.
But then on p. 129: "The basic task
of this theory...is to explain...each...semantic property and relation."
One can (so far as has been shown) do that without any adversion to psychology
at all. And that's what it looks like the apparatus toward the end
of the paper is doing (pp. 142ff.).
P. 131: We're to "explain how a speaker
is able to understand sentences." Then in the following sentence,
we "must reconstruct the semantic knowledge an ideal speaker-hearer
has...." Whoa, knowledge all of a sudden? And how ideal,
and in what direction of idealization, is ideal?
P. 148: He says the semantic theory
will make predictions about speakers' judgments about semantic properties
and relations. No doubt that's true if by "judgment" he means (in
Sellars' useful terms) the judgeds. But if he means the speakers'
judgings, uh-uh. Judgings are physical actions performed in
real time by real people; a purely semantic theory couldn't predict those,
or even generalizations about them.
Well, you get the idea. Different explananda
can call for very different explanatory apparatus and resources.
In particular, explaining either behavior or cognitive capacities
is a much more concrete sort of task than just explaining semantic properties
and relations of linguistic expressions. Though a theory of the latter
might play a key role in a psychological theory, it couldn't possibly do
so alone.