Comments

Showing posts with label Syntactic Structures. Show all posts
Showing posts with label Syntactic Structures. Show all posts

Monday, March 20, 2017

Lexical items and "mere" morphology-1

This was intended to be short. I failed. It is long and will get longer. Here is part 1. Part 2 sometime later this week or next.

As I mentioned in an earlier post, I am in the process of co-editing a volume of commentary essays on Syntactic Structures (SS). The volume is scheduled to be out just in time for the holidays and will, I am sure, make a great gift.  Nothing like an anniversary copy of SS with a compendium of essays elaborating its nuances to while away the holidays. I mention this because the project has got me thinking about how our theories of grammar have changed over time. And this brings me to the topic of today’s question: are all morphemes created equal?

Interestingly, GG theories answer this question differently. SS and Aspects sharply distinguish, at least theoretically, between two kinds of morphemes: those that enter derivations via lexical insertion, and those that enter transformationally. In this way, these theories make a principled distinction between grammatical vs non-grammatical formatives and track their grammatical differences to different G etiologies.

Later theories (take GB as the poster child) distinguish lexical vs functional morphemes, but, and this is important, there appears to be no principled distinction here. The latter more closely track important G features, but both types of formatives enter derivations in the same way (via lexical insertion or heads of X’ projections) and are manipulated by the same kinds of rules. The main difference (which I return to) is that some lexical items require specific grammatical licensing conditions (e.g. reflexives, pronouns, wh-elements) while others don’t (there is no grammatical licensing condition for ‘cat’ or ‘husband’). Functional elements are also often designated “closed class” items, but this classification carries no obvious theoretical import, at least within the theory of grammar. Rather, the designation is descriptive and adverts to the statistical frequency of these elements. Grammatically speaking, it is unclear what makes an expression “functional” beyond the fact that we designate it as such.

Minimalist accounts fall roughly on the GB side of these issues. This, I believe is unfortunate for the earlier distinction between lexical and grammatical formatives is, IMO, worth a modern investigation. Before saying a few words why I believe this, let me indulge my penchant for Whig History and illustrate the distinction contrasting the older Lees-Klima binding theory with the more modern GB view. Readers be warned, this will not be a short excursus.

Let’s start with the Less-Klima (LK) (1963) account.  The theory invokes the following two rules.  They must apply when they can and they are ordered so that (1) applies before (2).
            (1) Reflexivization:
X-NP1- Y- NP2 - Z --> X- NP1-Y- pronoun+self-Z,                               (Where NP1=NP2, pronoun has the f-features of NP2, and NP1/NP2 are in the same simplex sentence and).
(2) Pronominalization:
X-NP1-Y-NP2-Z --> X-NP1-Y- pronoun-Z                                                             (Where NP1=NP2 and pronoun has the f-features of NP2).

As is evident, the two rules have very similar forms. Both apply to identical NPs and morphologically convert one to a reflexive or pronoun. (1), however, only applies to nominals in the same simplex clause, while (2) is not similarly restricted. As (1) obligatorily applies before (2), reflexivization will bleed the environment for the application of pronominalization by changing NP2 to a reflexive (thereby rendering the two NPs non-identical).  The rule ordering effectively derives the complementary distribution of bound pronouns and reflexives. 

An illustration will help make things clear. Consider the derivations of (3a).  It has the underlying structure in (3b). We can factor this as in (3c) as per the reflexivization rule (1). This results in converting (3c) to (3d) with the surface output (3e) carrying a reflexive interpretation.
(3)       a. John1 washed himself/*him
            b. John washed John
            c. X-John-Y-John-Z
            d. X-John-Y-him+self-Z
            e. John washed himself
What blocks John likes him with a similar reflexive reading? To get this structure requires that Pronominalization apply to (3c).  However, it cannot as (1) is ordered to obligatorily apply before (2).  Once (1) applies we get (3d) and this is no longer has a structural description amenable to (2). Thus, the application of (1) bleeds that of (2) and John likes him with a bound reading cannot be derived.

This changes in (4). Reflexivization cannot apply to (4c) as the two Johns are not in the same clause. As (1) cannot apply, (2) can (indeed, must) as it is not similarly restricted to apply to clausemates. In sum, the inability to apply (1) allows the application of (2). Thus does the LK theory derive the complementary distribution of reflexives and bound pronouns.
(4)       a. John believes that Mary washed *himself/him
            b. John believes that Mary washed John
            c. X-John-Y-John
            d. X-John-Y-him
            e. John believes that Mary washed him
There are other features of note:

·      *LK Grammars code for antecedence: Anaphoric dependency is grammatically specified. In other words, just as the antecedent of a reflexive is determined by (1), the antecedent of an anaphoric pronoun is determined by (2). If one understands “NP1 = NP2” to mean that the two nominals must (at least) have the same semantic value (i.e. that NP1 semantically binds NP2) then what the equality expresses is the idea that the grammar codes semantic binding and semantic antecedence.[1]  This has two consequences. First, that the grammar codes binding dependencies, not (co-)referential dependencies.[2] Second, there is no analogue of GB’s Condition B, which grammatically states an anti-binding restriction. (1) and (2) together determine the class of anaphoric dependencies. There is no specific coding for disjoint reference or anti-anaphora.[3]
·      *Some operations have priority over others. A key feature of the LK approach is that reflexivization obligatorily applies before pronominalization.  Were the operations either freely ordered or not obligatory then John hugged him would support the bound reading of the pronoun.  In effect, the LK account embodies an economy conception wherein reflexivization is preferred to (is obligatorily ordered before) pronominalization. Absent this preference, locally bound pronouns would be grammatically generated.  This point is made evident by considering a slight alternative version of the Pronominalization rule. Assume that we added the following rider to (2): NP1 and NP2 are not contained in the same simplex clause.  This codicil is analogous to the restriction in (1), where Reflexivization is limited to clause-mates.  Interestingly, this amendment allows (1) and (2) to be freely ordered. The clause-mate condition in (1) restricts application to clause-mated nominals and the one in (2) to non-clause-mated NPs. This suffices to prevent the illicit pronouns and reflexives in (3a)/(4a).[4]
·     * The LK approach is dependency centered not morpheme centered. (1) and (2) primarily code antecedence relations not morpheme distributions. A by-product of the dependency (in English) is the insertion of reflexive and pronominal morphemes. These are clearly surface morpho-phonological byproducts of the established dependency and can be expected to differ across languages.[5] Stated more baldly, one can have reflexive and bound pronoun constructions without reflexives or bound pronouns.  This gives the LK theory two distinctive characteristics when viewed with a modern eye. First, it distinguishes between morphemes that enter derivations from the lexicon and those that do not.  Second, it endows this distinction between morpheme types with semantic significance. In the context of the Standard Theory, the LK background theory, bound pronouns and reflexives are semantically inert. Here Deep Structure exclusively determines semantic interpretation. Consequently, as reflexive and bound pronoun morphemes are not in Deep Structure but are introduced in the course of the syntactic derivation they must be interpretively impotent.  There is one more interesting consequence, the LK conception rejects a central feature of later accounts: that morphological identity is a good guide to syntactic or semantic categorization.  In other words, for LK theorists, the mere fact that bound pronouns and deictic pronouns have the same morpho-phonological shape in many languages is at best a weak prima facie reason for treating them as a unified syntactic class.
·      *The binding rules in (1) and (2) also effectively derive a class of principle C effects given the background assumption that reflexives and pronouns morphologically obscure an underlying copy of the antecedent.[6] The derivation, however, is not particularly deep.  By stipulation, the rules retain the higher copies and morphologically reshape the lower ones into pronouns and reflexives. This has the effect of blocking the derivation of sentences like Himself kissed Bill, He thinks that John is tall, and (if the rules are ordered before WH-movement (aka Question formation) Who1 did he say t1 left. There are two noteworthy features of this account of principle C effects. First, as noted it is not deep for there is no reason for why the rules could not have been stated so that the higher copy (optionally) gets morphologically transmogrified. Were this possible all the indicated unacceptable sentences would be fully grammatically generated.  Second, this version of principle C effects only holds for bound anaphors. It does not extend to co-referential dependencies, which fall outside the purview of this version of the binding theory.  This is not, in itself a bad thing. As has been noted, there are well known “exceptions” to principle C where co-reference is tolerated. On the LK account, this is to be expected.[7]

In sum: for LK the syntax outputs antecedent-anaphor dependencies. This is explicitly and directly coded in the relevant binding rules.  The proposal has two central features: an economy condition in the guise of the preference for reflexivization over pronominalization and a distinction between formatives that enter derivations via rules like Lexical Insertion (e.g. words like cat, dog, the, this, deictic pronouns, etc.) and those that are the morphological by-products of rules of grammar (e.g. words like himself and certain bound hims that are morphological residues of established anaphoric dependencies).



[1] It must code more than this however for otherwise (2) could apply to the output of (1). It would suffice to block this to assume that some kind of syntactic identity is also required, e.g. that the two be tokens of the same type. For further discussion c.f. Hornstein 2001 and note 3.
[2] Figuring how to make this clear led to problems with the original LK account. For example, how exactly to code (i)?  It does not semantically express (ii).

(i)            Everyone hugged himself
(ii)          Everyone hugged everyone
Interestingly this problem for the LK theory has an answer in contemporary minimalist approaches if we take binding to be a chain relation.  In effect, the difference between the underlying form of (i) vs (ii) is that the latter has two selections of everyone in the numeration while the former has one. In other words, if we treat (1) and (2) as morphological spell out rules defined over chains, this problem disappears.  C.f. Drummond 2011, Idsardi and Lidz 1997 and Hornstein 2001 for discussion. We return to this point again later on.
[3] Lasnik’s 1976 proposal for an anti-co-reference rule is built around the problems regarding “accidental” co-reference that this fact entails.  Contemporary attempts to return to the LK vision have roughly followed Reinhart  in assuming that the possibility of grammatical binding restricts extra-grammatical co-reference options.
[4] We must still assume that they are obligatory, but this is to block principle C effects (e.g. John saw John, and John said that Mary like John) rather than assure the complementarity of reflexives and bound pronouns. 
[5] This is very much a Distributed Morphology conception, though in earlier theoretical guise.
[6] Recall that this assumption creates problems for quantified NP antecedents as remarked in footnote 3.
[7] C.f. Evans and Reinhart among others.  Note, in addition, that there are virtually no extant cases of inverse binding, i.e. where a pronoun is anaphorically dependent on an antecedent it c-commands.  Furthermore, even WCO configurations would seem to be underivable given the actual rules proposed.  Nice as this is, it is worth recalling that this empirical success arises from codifying the stipulation that it is the higher/leftmost copy that is retained and the lower rightmost copy that gets morphologically altered.

Sunday, February 12, 2017

Strings and sets

I have argued repeatedly that the Minimalist Program (MP) should be understood as subsuming earlier theoretical results rather than replacing them. I still like this way of understanding the place of MP in the history of GG, but there is something misleading about it if taken too literally. Not wrong exactly, but misleading. Let me explain.

IMO, MP is to GB (my favorite exemplar of an earlier theory) as Bounding Theory is to Ross’s Islands. Bounding Theory takes as given that Ross’s account of islands is more or less correct and then tries to derive these truths from more fundamental assumptions.[1] Thus, in one important sense, Bounding Theory does not substitute for Ross’s but aims to explain it. Thus, Bounding Theory aims to conserve the results of Ross’s theory more or less.[2] 

Just as accurately, however, Bounding Theory does substitute for Ross’s. How so? It conserves but does not recapitulate it. Rather it explains why the things on Ross’s list are there. Furthermore, if successful it will add other islands to Ross’s inventory (e.g. Subject Condition effects) and make predictions that Ross’s did not (e.g. successive cyclicity). So conceived, Ross’s island are explanada for which Bounding Theory is the explanans.

Note, and this is important, given this logic Bounding Theory will inherit any (empirical) problems for Ross’s generalizations. Pari passu for GB and MP. I mention this not because it is the topic of todays sermonette, but just to observe that many fail to appreciate this when criticizing MP. Here’s what I mean.

One way MP might fail is in adopting the assumption that GBish generalizations are more or less accurate. If this assumption is incorrect, then the MP story fails in its presuppositions. And as all good semanticists know, this is different from failing in one’s assertions. Failing this way makes you not so much wrong as uninteresting. And MP is interesting, just as Bounding Theory is interesting, to the degree that what it presupposes is (at least) on the right track.[3]

All of this is by way of (leisurely) introduction to what I want to talk about below. Of the changes MP has suggested I believe that most (or, to be mealy mouthed, one of the most) fundamental has been the proposal that we banish strings as fundamental units of grammar. This shift has been long in coming, but one way of thinking about Chomsky’s set theoretic conception of Merge is that it dislodges concatenation as the ontologically (and conceptually) fundamental grammatical relation. Let me flesh this out a bit.

The earliest conception of GG took strings as fundamental, strings just being a series of concatenated elements. In Syntactic Structures (SS) (and LSLT for which SS was a public relations brochure) kernel sentences were defined as concatenated objects generated by PS rules. Structural Descriptions took strings as inputs and delivered strings (i.e. Structural Changes) as outputs (that’s what the little glide symbol (which I can’t find to insert) connecting expressions meant). Thus, for example, a typical rule took as input things like (1) and delivered changes like (2), the ‘^’ representing concatenation. PS rules are sets of such strings and transformations are sets of sets of such strings. But the architecture bottoms out in strings and their concatenative structures.[4]

(1)  X^DP1^Y^V^DP2^Z
(2)  X^DP2^Y^V+en^by^NP1

This all goes away in merge based versions of MP.[5] Here phrase markers (PM) are sets, not strings and string properties arise via linearization operations like Kayne’s LCA which maps a given set into a linearized string. The important point is that sets are what the basic syntactic operation generates, string properties being non-syntactic properties that only obtain when the syntax is done with its work.[6] It’s what you get as the true linguistic objects, the sets, get mapped to the articulators. This is a departure from earlier conceptions of grammatical ontology.

This said it’s an idea with many precursors. Howard Lasnik has a terrific little paper on this in the Aspects 50 years later (Gallego and Ott eds, a MITWPL product that you can download here). He reviews the history and notes that Chomsky was quite resistant in Aspects to treating PMs as just coding for hierarchical relationships, an idea that James McCawley, among others, had been toying with. Howard reviews Chomsky’s reasoning and highlights several important points that I would like to quickly touch on here (but read the paper, it’s short and very very sweet!).

He notes several things. First, that one of the key arguments for his revised conception in Aspects revolved around eliminating some possible but non-attested derivations (see p. 170). Interestingly, as Howard notes, these options were eliminated in any theory that embodied cyclicity. This is important for when minimalist Chomsky returns to Generalized Transformations as the source of recursion, he parries the problems he noted in Aspects by incorporating a cyclic principle (viz. the Extension Condition) as part of the definition of Merge.[7]

Second, X’ theory was an important way station in separating out hierarchical dependencies from linear ones in that they argued against PS rules in Gs. By dumping PS rules, the relation between such rules and the string features of Gs was conceptually weakened.

Despite this last point, Lasnik’s paper highlights the Aspects arguments against set based conception of phrase structure (i.e in favor of retaining string properties in PS rules). This is section 3 of Howard’s paper. It is a curious read for a thoroughly modern minimalist for in Aspects we have Chomsky arguing that it is a very bad idea to eliminate linear properties from the grammar as was being proposed, by among others, James McCawley. Uncharacteristically (and I mean this is a compliment), Chomsky’s reasoning here is largely empirical. Aspects argues that when one looks, the Gs of the period, presupposed some conception of underlying order in order to get the empirical facts to fit and that this presupposition fits very poorly with a set theoretic conception of PMs (see Aspects: 123-127). The whole discussion is interesting, especially the discussion of free word order languages and scrambling. The basic observation is the following (126):

In every known language the restrictions on order [even in scrambling languages, NH] are quite severe, and therefore rules of realization of abstract structures are necessary. Until some account of such rules is suggested, the set-system simply cannot be considered seriously as a theory of grammar.

Lasnik, argues plausibly, that Kayne’s LCA offered such an account and removed this empirical objection against eliminating string information from basic syntactic PMs.

This may be so. However, from my reading of things I suspect that something else was at stake. Chomsky has not, on my reading, been a huge fan of the LCA, at least not in its full Kaynian generality (see note 6). As Howard observes, what he has been a very big fan of is the observation, going back at least to Reinhart, that, as he says in the Black Book (334), “[t]here is no clear evidence that order plays a role at LF or in the computation from N [numeration, NH] to LF.”

Chomsky’s reasoning is Reinhart’s on steroids. What I mean is that Reinhart’s observations, if memory serves, are largely descriptive, noting that anaphora is largely insensitive to order and that c-command is all that matters in establishing anaphoric dependencies (an important observation to be sure and one that took some subtle argumentation to establish).[8] Chomsky’s observations go beyond this in being about the implications of such lacunae for a theory of generative procedures. What’s important wrt to linear properties and Gs is not whether linearized order plays a discernible role in languages, of course it does, but whether these properties tell us anything about generative procedures (i.e. whether linear properties are factors in how generative procedures operate). This is key. And Chomsky’s big claim is that G operations are exclusively structure dependent, that this fact about Gs needs to be explained and that the best explanation is that Gs have no capacity to exploit string properties at all. This builds on Reinhart, but is really making a theoretical point about the kinds of rules/operations Gs contain rather than a high level observation about antecedence relations and what licenses them.

So, the absence of linear sensitive operations in the “core” syntax, the mapping from lexical items to “LF” (CI actually, but I am talking informally here) rather than some way of handling the evident linear properties of language, is the key thing that needs explanation.

This is vintage Chomsky reasoning: look for the dogs that aren’t barking and give a principled explanation for why they are not barking. Why no barking strings? Well, if PMs are sets then we expect Gs to be unable to reference linear properties and thus such information should be unable to condition the generative procedures we find in Gs.

Note that this argument has been a cynosure of Chomsky’s most recent thoughts on structure dependence as well. He reiterates his long-standing observation that T to C movement is structure dependent and that no language has a linear dependent analogue (move the “highest” Aux exists but move the “left-most” aux never does and is in fact never considered an option by kids building English Gs). He then goes on to explain why  no G exploit such linear sensitive rules. It’s because the rule writing format for Gs exploits sets and sets contain no linear information. As such rules that exploit linear information cannot exist for the information required to write them is un-codeable in the set theoretic “machine language” available for representing structure. In other words, we want sets because the (core) rules of G systematically ignore string properties and this is easily explained if such properties are not part of the G apparatus.

Observe, btw, that it is a short step from this observation to the idea that linguistic objects are pairings of meanings with sounds (the latter a decidedly secondary feature) rather than a pairing of meanings and sounds (where both interfaces are equally critical). These, as you all know, serve as the start of Chomsky’s argument against communication based conceptions of grammar. So eschewing string properties leads to computational rather than communicative conceptions of FL.

The idea that strings are fundamental to Gs has a long and illustrious history. There is no doubt that empirically word order matters for acceptability and that languages tolerate only a small number of the possible linear permutations. Thus, in some sense, epistemologically speaking, the linear properties of lexical objects is more readily available (i.e. epistemologically simpler) than their hierarchical ones. If one assumes that ontology should follow epistemology or if one is particularly impressed with what one “sees,” then taking strings as basic is hard to resist (and as Lasnik noted, Chomsky did not resist it in his young foolish salad days). In fact, if one looks at Chomsky’s reasoning, strings are discounted not because string properties do not hold (they obviously do) but because the internal mechanics of Gs fails to exploit a class of logically possible operations. This is vintage Chomsky reasoning: look not at what exists, but what doesn’t. Negative data tells us about the structure of particular Gs. Negative G-rules tells us about the nature of UG. Want a pithy methodological precept? Try this: forget the epistemology, or what is sitting there before your eyes, and look at what you never see.

Normally, I would now draw some anti Empiricist methodological morals from all of this, but this time round I will leave it as an exercise for the reader. Suffice it for now to note that it’s those non-barking dogs that tell us the most about grammatical fundamentals.


[1] Again, our friends in physics make an analogous distinction between effective theories (those that are more or less empirically accurate) and fundamental theories (those that are conceptually well grounded). Effective theory is what fundamental theory aims to explain. Using this terminology, Newton’s theory of gravitation as the effective theory that Einstein’s theory of General Relativity derived as a limit case.
[2] Note that conserving the results of earlier inquiry is what allows for the accumulation of knowledge. There is a bad meme out there that linguistics in general (and syntax in particular) “changes” every 5 years and that there are no stable results. This is hogwash. However, the misunderstanding is fed by the inability to appreciate that older theories can be subsumed as special cases by newer ones.  IMO, this has been how syntactic theory has generally progressed, as any half decent Whig history would make clear. See one such starting here and continuing for 4 or 5 subsequent posts.
[3] I am not sure that I would actually strongly endorse this claim as I believe that even failures can be illuminating and that even theories with obvious presuppositional failures can point in the right direction. That said, if one’s aim is “the truth” then a presupposition failure will at best be judged suggestive rather than correct.
[4] For those that care, I proposed concatenation as a primitive here, but it was a very different sense of concatentation, a very misleading sense.  I abstracted the operation from string properties. Given the close intended relation between concatenation and strings, this was not a wise move and I hereby apologize.
[5] I have a review of Merge and its set like properties in this forthcoming volume for those that are interested.
[6] One important difference between Kayne’s and Chomsky’s views of linearization is that the LCA is internal to the syntax for the former but is part of the mapping from the syntax proper to the AP interface for the latter. For Kayne, LCA has an effect on LF and derives the basic features of X’ syntax. Not so for Chomsky. Thus, in a sense, linear properties are in the syntax for Kayne but decidedly outside it for Chomsky.
[7] The SS/LSLT version of the embedding transformation was decidedly not cyclic (or at least not monotonic structurally). Note, that other conceptions of cyclicity would serve as well, Extension being sufficient, but not necessary.
[8] It’s also not obviously correct. Linear order plays some role in making antecedence possible (think WCO effects) and this is surely true in discourse anaphora. That said, it appears that in Binding Theory proper, c-command (more or less), rather than precedence, is what counts.