Towards the end of our RG there were some points raised concerning underdetermination arguments and compositionality. I was a bit baffled and I tried to clarify a few things for myself.
First, I think it is a bit misleading that Szabó calls the argument against compositionality that he presents, the underdetermination argument. This is a different argument than what is usually called such in the literature. I found this a bit confusing.
Here is a reconstruction of what Szabó calls the underdetermination argument against compositionality (page 265 last paragraph). (I talk of utterance content and not speech act content in order to simplify things).
The sentence (S) ¨The leaves are green¨ is uttered in two different contexts. In one is evaluated as false, in the other as true. The two utterances of the same sentence have different contents in the two contexts (assuming that the circumstances of evaluation are the same, which is not uncontroversial). But, the constituents of the utterances have the same contents in both contexts. That is, the constituents ¨leaves¨, ¨green¨, ¨the¨, ¨are¨ have the same contents in both utterances of S in the two contexts. If this is so, the contents of the two utterances of S are not compositionally determined out of the contents of the utterances’ constituents. This is the sort of argument that shows a failure of compositionality: two utterances with different contents but with the same syntactic structure and whose constituents have the same content.
The argument can be put along the following lines:
1) the content of utterance u of S in C is different than the content of utterance v of S in C’: Cu ≠ Cv
2) The contents of the constituents of the two utterances, u and v, are the same: C(green)v = C(green)u, C(leaves)v = C(leaves)u, and so on for all the constituents of the two utterances of S.
3) the two utterances have the same structure.
Szabo´s solution to this argument was to show that the difference in the contents of the two utterances u and v is due to, and can be traced to, differences in the contents of (some) its constituents. The utterance u of S has a different content than utterance v of S because some of the constituents of u have a different content than some of the constituents of v. The content of ¨are green¨ in the utterance u is different than the content of ¨are green¨ in the utterance v. If so, compositionality is preserved and the argument against it defused. Szabó´s way of defusing the argument is to show that (2) doesn´t hold. (I think what’s really important is not the particular way in which Szabó does this, as much as the template he offers: to show that there is no failure of compositionality just show that (2) doesn’t hold and back up your claim with intuitions regarding the difference in contents of u and v’s constituents).
Now, two points were raised: (a) that (someone like) Travis can reject (2) and still run an underdetermination argument against compositionality and (b) that rejection of (2) and acceptance of Szabó’s way of defusing the argument is compatible with Travis’ contextualism.
As far as I can see (b) is correct but that’s not the case with (a).
If one wants to make an argument against compositionality one must accept (2) (in fact, must accept (1), (2) and (3)). Without (2) there is no argument against compositionality. To show that compositionality fails one needs to show that there are cases where our intuitions match the situation described in (1) through (3). That is, we must have the intuitions that two utterances u in C and v in C’ of S have different contents. We must also have the intuition that the constituents of the two utterances have identical contents (that is, any of the expressions uttered in u and v has the same contents in both utterances). And finally, we must have the intuition that u and v have the same structure. Finding an expression that satisfies all three intuitions is finding an example of failure of compositionality. As long as one wants to run an argument against compositionality (of content) one cannot give up (2).
On the other hand accepting Szabó’s way of defusing the argument (by rejecting (2)) is compatible with contextualism (i.e. the thesis that the contents of u in C and v in C’ of S are different and nothing in the lexical meaning of S determines the difference in contents). Even if denying (2), Travis (& Travis-like people) can run the following argument:
1’) two utterances u and v of the same sentence S in two contexts C and C´ have different contents.
2’) The lexical meanings of S’s constituents are identical in both of its utterances in the two contexts.
3’) the two utterances share the same structure.
Therefore the contents of the utterances u and v of S are underdetermined by the lexical meanings of S´s constituents. Or, if the lexical meanings of constituents compose into the lexical meaning of S, one can reformulate as: the contents of utterances u and v of S (in C and C’ respectively) are underdetermined by the lexical meaning of the sentence S.
This argument is an argument about the relation between the lexically encoded meaning (contextually insensitive meaning) and content (utterance content).It supposedly shows that the lexical meaning of a sentence fails to determine the (truth conditional) contents of the utterances of the sentence. So, it should be distinguished from what Szabó calls the underdetermination argument against compositionality which is an argument about the compositionality of content. (notice that (2) and (2’) are different)
All in all, I see no reason why (b) should be false: one can accept that contents of utterances of S are compositionally determined out of the contents of their parts and accept that the contents of utterances are nevertheless underdetermined by the lexically encoded meaning of S.
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