Head Parameter as Encoded in Functional Categories Jun Abe 1.

Introduction

(Q) How to characterize the head parameter under the minimalist program? (i) The head parameter exists. (ii) It is encoded only in functional categories. - Lexical categories have only asymmetrical structures a la Kayne (1994) and Fukui and Takano (1998) while functional categories allow symmetrical structures with the head parameter encoded. è It gives support to Fukui’s (1995) Functional Parametrization Hypothesis (FPH), according to which lexical projections are uniform among languages and parametrization is attributed to functional categories. 2.

How to Deal with Linear Order?

- Chomsky (2013): (1) “Order and other arrangements are a peripheral part of language, related solely to externalization at the SM interface, where of course they are necessary.” (Chomsky 2013:36) “language is not sound with meaning, but rather meaning with sound, … language is primarily an instrument of thought …”

(ibid.)

è Linearization should be conducted outside narrow syntax, somewhere along the course to the SM interface. # I want to take a symmetrical view according to which language is simply a medium of sound and meaning. Along this line of thought, I argue that linearization should be dealt with on a par with labeling.

1

- Ordering as parallel to labeling: (2) “Projection is a theory-internal notion, part of the computational process GP. For a syntactic object SO to be interpreted, some information is necessary about it: what kind of object is it? Labeling is the process of providing that information. Under PSG and its offshoots, labeling is part of the process of forming a syntactic object SO. But that is no longer true when the stipulations of these systems are eliminated in the simpler Merge-based conception of UG. We assume, then, that there is a fixed labeling algorithm LA that licenses SOs so that they can be interpreted at the interfaces, operating at the phase level along with other operations.”

(ibid.:43)

(3) “… For a syntactic object SO to be interpreted [at the SM interface], some information is necessary about it: … Linear ordering is the process of providing that information. Under PSG and its offshoots, linear ordering is part of the process of forming a syntactic object SO. But that is no longer true when the stipulations of these systems are eliminated in the simpler Merge-based conception of UG. We assume, then, that there is a fixed linear ordering algorithm LOA that licenses SOs so that they can be interpreted at the interfaces, operating at the phase level along with other operations.” è Linear ordering is necessary for a proper interpretation at the SM interface, just like labeling is at the CI interface. è By the same logic, it follows that labels play no more role in syntactic computation than linear order, which is likely to be the case. 3.

Linear Ordering Algorithm and Head Parameter

- Abe (2001): (4)

When α and β merge to make K, so that K dominates α and β, α precedes β if α is visible and β is invisible. # The visibility of a syntactic object is determined on the basis of relevance to interpretation at the interface: “bare output conditions make the concepts ‘minimal and maximal projection’ available [=visible] to CHL,” (Chomsky 1995:242) since only these projections are relevant to interpretation at the interface.

2

(5)

XP YP1

X’1 YP2

X’2 X

ZP

è Specifiers are always on the left side of given nodes, whereas the order of head-complement is undetermined. è Given the minimalist thesis that the faculty of language (FL) is an optimal solution to interface conditions, there exists a situation in FL where a solution to a requirement imposed by the interfaces is more optimal if a piece of that solution is left undecided, or left to the decision by experience. A parameter is an optimal solution for dealing with such a situation. (Underspecification view on parameters) è Suppose that the ordering algorithm given in (1) is an optimal solution to the determination of linear ordering and hence that to keep this optimality, the linear ordering of a head to its complement should be determined by implanting a parameter. - Relationship of LA and LOA: Label({X, YP}) = X

(6) a. b.

Label({XP, YP}) = ?

è This labeling algorithm causes a problem for determining the labels of the merged pairs {YP1, X’1} and {YP2, X’2} in (5). (7)

ジョンがメアリに本をあげた。 è Hoji (1985): the underlying structure is Sub-IO-DO-V.

3

vP

(8) Sub

v’ VP

IO

v V’

DO (9) 4. 4.1.

V

Given K = {XP, YP}, if XP is an argument of YP, then YP is the label of K. Functional Heads as Locus of the Head Parameter Argument for the Asymmetrical Structure Thesis

- Kayne (1994): Hierarchical structures unambiguously determine the linear order of terminal symbols, thereby denying the existence of symmetrical structures. è This thesis denies the existence of the head-parameter. - Fukui and Takano (1998:34): “It seems almost universally true, as Kayne (1994) claims, that a Spec of the head H precedes rather than follows H and its complement, regardless of the relative order between H and its complement.” - Takano (1996, 1998): Despite the difference in word order, English and Japanese show the same results with respect to the binding tests that are intended to examine the hierarchical structures of VPs; within VP, what precedes is structurally higher than what follows in both languages; cf. (8) (10) a.

メアリがすべての学生 1 にそいつ 1 の先生を紹介した。

b. *メアリがそいつ 1 の先生にすべての学生 1 を紹介した。 c.

メアリがすべての学生 1 をそいつ 1 の先生に紹介した。

d. ?メアリがそいつ 1 の先生をすべての学生 1 に紹介した。 - Larson (1988): essentially the same claim as Hoji’s (1985) for the internal structure of VP in English: what precedes is structurally higher than what follows. (11) a.

I showed Mary herself.

b. *I showed herself Mary. (12) a.

I showed Mary to herself.

b. *I showed herself to Mary. 4

- Aoun and Li (1989), Kitagawa (1994) and Pesetsky (1995): the IO-DO frame reflects the basic word order while the DO-IO frame is a derived word order. (13) a.

I gave the mothers each other’s babies.

b.

I showed the parents each other’s boys.

(14) a. *I gave each other’s mothers the babies. b. *I showed each other’s parents the boys. (15) a.

I gave the babies to each other’s mothers.

b.

I showed the parents to each other’s boys.

(16) a. ?I gave each other’s babies to the mothers. b. ?I showed each other’s parents to the boys. (17)

vP Sub

v’ v

VP IO

V’ DO

V

è Takano (1996, 1998) proposes that in English, V in (17) moves up to Spec-vP whereas in Japanese, V stays in situ. 4.2.

Argument against the Asymmetrical Structure Thesis

- Kayne’s (1994) Linear Correspondence Axiom (LCA): The relationship between structure and linear order is determined in such a way that when a category A asymmetrically c-commands another category B, all terminal symbols dominated by A must precede those dominated by B. - Reinhart (1976): sentential PPs vs. verb phrasal PPs: (18) a.

We sent him1 to West Point in order to please Ben1’s mother.

b. We’ll just have to fire him1 whether McIntosh1 likes it or not. c.

Rosa won’t like him1 anymore, with Ben1’s mother hanging around all the time. 5

(19) a. *Rosa tickled him1 with Ben1’s feather. b. *It’s time to put him1 in the baby1’s bed. (20)

(Reinhart 1976:60)

vP Rosa

v’ v

VP him

V’

with Ben’s feather (21)

tickle

vP vP

PP1

v

VP VP

PP2

... him ... (22)

α α

β

è The lower segment α asymmetrically c-commands β. (23) a.

Nobody would ever call her1 before noon who knows anything about Rosa1’s weird sleeping habits.

b.

So many people wrote to him1 that Brando1 couldn’t answer them all. (Reinhart 1976:43)

4.3.

Adjunction as Regulated by the Head Parameter

- Fukui and Speas (1986) and Fukui (1986): The distinction between adjunction and substitution does not exist in lexical categories and hence adjunction structure is only relevant for functional categories. 6

- Fukui (1993): The value of the head parameter should be preserved in derived structures, so that an adjunction operation should create a structure that is consistent with the value of the head parameter in a given language. (24) a.

X’ -> X/X’ YP

b.

X’ -> YP X/X’

(25)

TP Sub

T’ T’

T

XP vP

è Given the standard assumption that adjunction of XP to YP does not fully project YP, only creating two segments of YP, it is natural to claim that adjoining XP does not change the status of the labeled YP. (26)

The label of <α, β> is β.

(27) a. b.

<α, β> is linearized as β > α if the head of β is initial. <α, β> is linearized as α > β if the head of β is final.

#Chomsky (2013): labeling by agreeing features, in which these features serve as labels for their mother nodes. è For the pair {Sub, T’} in (25), it is reasonable to claim that Sub is visible in the sense that it carries interpretable φ-features while T’ is invisible in the sense that it carries uninterpretable ones. Adjunction cannot be applied to a category whose label is determined by agreeing features. (28) a.

Rosa is kissing him1 passionately in Ben1’s high school picture.

b. *She1 is riding a horse in Rosa1’s high school picture. (29) a.

People worship him1 in Kissinger1’s native country.

b. *He1 is considered a genius in Kissinger1’s home town. 7

(Reinhart 1976:68-69)

(30)

In Ben1’s high school picture, Rosa is kissing him1 passionately.

(31)

φP in Ben’s high

φ’

school picture Sub

(32)

TP

Given K = {XP, YP}, if XP is a modifier of YP, then YP is the label of K.

- Andrews (1983): (33) a. ?John twice intentionally knocked on the door.

(twice > intentionally)

b.??John intentionally twice knocked on the door.

(intentionally > twice)

(34) a.

[φP John1 [TP twice [T’ intentionally T [vP t1 v+knock [VP on the door tV]]]]]

b.

[φP John1 [TP intentionally [T’ twice T [vP t1 v+knock [VP on the door tV]]]]]

(35) a.

John knocked on the door twice intentionally.

(intentionally > twice)

b. John knocked on the door intentionally twice.

(twice > intentionally)

(36) a.

[φP John1 [T’ [T’ [T’ T [vP t1 v+knock [VP on the door tV]]] twice] intentionally]]

b.

[φP John1 [T’ [T’ [T’ T [vP t1 v+knock [VP on the door tV]]] intentionally] twice]]

è The contrast between the left periphery (33) and the right periphery (35) lends strong support to the existence of symmetrical structures in functional categories.

8

- Pesetsky (1989): (37)

As for Mary, Bill relied intentionally twice on her.

(38)

(intentionally > twice)

vP Bill

v’ v+rely

VP

intentionally

V’ twice

V’ on her

tV

#When the PP put at the end in (37) is changed into a “heavier” PP, the sentence becomes ambiguous: (39)

John relied intentionally twice on the person you told me about. (intentionally > < twice) è In this case, the adverbs intentionally and twice can be right-adjoined to TP together with the heavy shifted PP on the person you told me about.

(40)

φP John

T’ T’

on the person you told me about

T’ T’ T

twice intentionally

vP

9

5.

Further Consequences

5.1.

Heavy NP Shift

(41)

Mary kissed t1 yesterday [the man she met in the park]1.

(42)

[φP Mary [TP [T’ kissed t yesterday] [the man she met in the park]]]

(43) a. *He1 has not read [the letter that Mary sent to John1] until now. b. *He1 has not read t2 until now [the letter that Mary sent to John1]2. (Abe and Hoshi 1997:107) - Pesetsky (1995:265): “binding phenomena with heavy shift constructions behave as if the construction involved lowering” (44) a. *We gave ___ to him1 on Friday [John1’s brand-new toy]. b.

We gave ___ to them1 at the interviews [copies of reports on each other1].

c.

Bill heard ___ from each committee member1 on Friday [a report on his1 activities].

d.

Tom threw ___ to none of these people on Tuesday [any set of keys that had “Do Not Copy” stamped on them].

#Takano (1996, 1998): Heavy NP shift is just a reflex of base-generated word order. - Shifted heavy DPs are structurally higher than what precedes them: (45) a.

John mistakenly returned the two babies that he had taken care of to each other’s mothers.

b. ?John mistakenly returned to each other’s mothers the two babies that he had taken care of. (46) a.

John introduced the students he met yesterday to each other’s teachers.

b. ?John introduced to each other’s teachers the students he met yesterday. (47) a. *Mary wanted [PRO to meet [the men who had been accused of the crime]] until each other’s trials. b. ?Mary wanted [PRO to meet t1] until each other’s trials [the men who had been accused of the crime]1.

(Saito 1994:267)

10

(48)

TP Sub

T’ T’

T

DO1 vP

tSub

v’ v+V

VP IO

V’ Adjunct

V’ t1

tV

è The sentences in (44b-d) are ruled grammatical as a result of reconstruction effects with respect to binding, since the antecedents or licensers c-command their licensees in the underlying structures. - Reconstruction effects of Condition C: (49) a. *With Zelda1’s feather, she1 tickled Dr. Levin. b. *In Ben1’s box, he1 put his cigars.

(Reinhart 1976:160)

è If an R-expression is c-commanded by a pronoun coreferential to it in the underlying structure and a phrase that dominates the R-expression escapes the c-command domain of the pronoun by movement, then the resulting structure is free from a Condition C violation only if the R-expression is “deeply embedded” in the moved phrase. (50) a.

With the feather that Zelda1 inherited from her late peacock, she1 tickled Dr. Levin.

b.

In the ivory box that Ben1 brought from China, he1 put his cigars. (Reinhart 1976:160) 11

(51) a. *After days of search, they finally found him1 in Dr. Levin1’s hotel room. b.

After days of search, they finally found him1 in a sleazy hotel room that Dr. Levin1 had rented under a false name.

(52) a. *Zelda sent him1 back all Dr. Levin1’s flowers. b.

Zelda sent him1 back all the flowers which Dr. Levin1 had bought for her. (Reinhart 1976:160-161)

5.2.

An Extension to DP Structure

- Larson (2000a, b): (53)

Mary interviewed every possible candidate (on her recent press tour). a. ‘Mary interviewed everyone that was a possible candidate.’ (direct modification reading (DMR)) b. ‘Mary interviewed every (actual) candidate that it was possible for her to interview.’

(implicit relative reading (IRR))

#Larson (2000a): Characterizing D-modification as intersective and N-modification as non-intersective, Larson proposes that the DMR is derived from N-modification whereas the IRR is derived from D-modification. (54)

DP every

D’ D

NP possible

candidate

(55) λx[Γe[e is running candidate & Agent(e, x) & possible(e)]] where Γ represents a generic quantifier. - IRR: (56) a.

Mary interviewed every candidate possible for her to interview.

b. (57)

Mary interviewed every candidate possible.

every possible possible candidate è The first possible is an intersective modifier whereas the second is a non-intersective modifier. Hence, intersective modifiers must be D-modifiers. 12

è (56b) does not have a DMR; hence by parity of reasoning, postnominal modifiers should also be D-modifiers. (58)

... every (possible) [NP possible candidate] (possible) IRR

(59) a.

DMR

IRR

the responsible individuals vs. the individuals responsible

b.

the navigable rivers vs. the rivers navigable

c.

the visible stars vs. the stars visible

#Bolinger (1967): The postnominal adjectives attribute temporal properties whereas the prenominal adjectives can attribute not only temporal properties but also enduring or stable properties. (60)

the visible visible stars è The first visible denotes its temporal property and the second denotes its enduring property.

(61)

the (visible) [visible

stars] (visible)

Temporary Enduring (62)

Temporary

DP every

D’ (possible)

D’ D’

D

(possible) nP

possible1

n’

n+candidate

NP t1

tN

#Larson (2000a): N-modifiers must move to Spec-nP to check their Case and/or φ-features with the n head. 13

References Abe, Jun. 2001. Relativized X’-theory with symmetrical and asymmetrical structure. In Minimalization of each module in generative grammar, Report for Grants-in-Aid for Scientific Research (B)(2), 1-38. Graduate School of Humanities and Informatics, Nagoya University. Abe, Jun and Hiroto Hoshi. 1997. Gapping and P-stranding. Journal of East Asian Linguistics 6:101-136. Andrews, Avery. 1983. A note on the constituent structure of modifiers. Linguistic Inquiry 14:695-697. Aoun, Joseph and Yen-hui Audrey Li. 1989. Scope and constituency. Linguistic Inquiry 20:141-172. Bolinger, Dwight. 1967. Adjectives in English: Attribution and predication. Lingua 18:1-34. Chomsky, Noam. 1995. The Minimalist Program. Cambridge, MA: MIT Press. Chomsky, Noam. 2013. Problems of projection. Lingua 130:33-49. Fukui, Naoki. 1993. Parameters and optionality. Linguistic Inquiry 24:399-420. Fukui, Naoki. 1995. The principles-and-parameters approach: A comparative syntax of English and Japanese. In Approaches to language typology, ed. by Masayoshi Shibatani and Theodora Bynon, 327-371. Oxford: Oxford University Press. Fukui, Naoki and Yuji Takano. 1998. Symmetry in syntax: Merge and demerge. Journal of East Asian Linguistics 7:27-86. Hoji, Hajime. 1985. Logical Form constraints and configurational structures in Japanese. Doctoral dissertation, University of Washington, Seattle, WA. Kayne, Richard. 1994. The antisymmetry of syntax. Cambridge, MA: MIT Press. Kitagawa, Yoshihisa. 1994. Shells, yolks, and scrambled e.g.s. In Proceedings of the North East Linguistic Society 24, ed. Mercè Gonzàlez, 221-239. Amherst, MA: GLSA, University of Massachusetts. Larson, Richard K. 1988. On the double object construction. Linguistic Inquiry 19:335-391. Larson, Richard K. 2000a. Adjective position and interpretation. Paper presented at Nanzan University. Larson, Richard K. 2000b. ACD in AP? Paper presented at the 19th West Coast Conference of Formal Linguistics, Los Angeles, CA. Pesetsky, David. 1989. Language-particular process and the Earliness Principle. Ms., MIT. Pesetsky, David. 1995. Zero syntax: Experiencers and cascades. Cambridge, MA: MIT Press. Reinhart, Tanya. 1976. The syntactic domain of anaphora. Doctoral dissertation, MIT, Cambridge, MA. Saito, Mamoru. 1994. Improper adjunction. In Formal Approaches to Japanese Linguistics I, MIT Working Papers in Linguistics 24, ed. by Masatoshi Koizumi and Hiroyuki Ura, 263-293. Cambridge, MA: MITWPL. Takano, Yuji. 1996. Movement and parametric variation in syntax. Doctoral dissertation, University of California, Irvine, CA. Takano, Yuji. 1998. Object shift and scrambling. Natural Language and Linguistic Theory 16:817-889.

14

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