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Theta Theory, Binding
Weiwei Sun
Institute of Computer Science and TechnologyPeking University
March 24, 2015
Theta Theory Binding
Quick recap
Phrase Structure Rules
X′′ → Specifier X′ | X′ SpecifierX′ → Adjunct X′ | X′ AdjunctX′ → X Complement(s) | Complement(s) X
Tree
X′′
X′
AdjunctX′
Complement(s)X
Specifier
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Theta Theory Binding
Quick recap
SVO:
I XP → Specifier X′
I X′ → X Complement(s)
VOS:
I XP → X′ Specifier
I X′ → X Complement(s)
SOV:
I XP → Specifier X′
I X′ → Complement(s) X
OVS:
I XP → X′ Specifier
I X′ → Complement(s) X
XP
YPX′
ZPX′
ZPX′
ZPX′
...WPX
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Theta Theory Binding
Quick recap
CP
C′
TP
T′
VP
V′
PP
P′
DP
D′
NP
N′
N
puddle
D
the
P
in
V′
DP
D′
NP
N′
N
books
D
∅
V
find
T
-ed
DP
NP
N′
PP
P′
DP
D′
NP
N′
N
Brazil
D
∅
P
from
N′
N′
N
man
AdjP
Adj′
Adj
ugly
D′
The
C
∅[-Q]
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Theta Theory Binding
Outline
Theta Theory
Binding
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Theta Theory Binding
Motivation
Problem with X-bar theory
X-bar theory also generates sentences that are not acceptable orgrammatical.
(1) a. Rosemary hates New York.
b. *Rosemary hates.
(2) a. Jennie smiled.
b. *Jennie smiled the breadbox.
(3) a. Traci gave the whale a jawbreaker.
b. *Traci gave the whale.
c. *Traci gave a jawbreaker.
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Theta Theory Binding
Argument vs. Adjunct
I Arguments are selected by their head.I A head sub-categorizes for its arguments: their presence is
often (but not always!) obligatory.
I Adjuncts are some something additional about the head.I An adjunct is optional.
Test
I Adjuncts but not complements can be iterated andreordered and can stand next to one.
I Complements must be located next to the head and can’tbe reordered.
I We could conjoin complements with complements andadjuncts with adjuncts, but we couldn’t mix the two.
I etc.
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Theta Theory Binding
Argument vs. Adjunct (1)
Semantic contribution
Arguments and adjuncts differ in the kind of semantic contribu-tion they make.
Arguments denote
I participants of an event
(4) Sandy kissed Robin.
I individuals/entities for which a state of affairs holds
(5) Sandy knew the answer.
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Theta Theory Binding
Argument vs. Adjunct (2)
Adjuncts denote the circumstances under which an event tookplace or a state of affairs occurred. Adjuncts refer to
I time
(6) Sandy knew the answer on Monday.
I frequency
(7) Sandy forgot her umbrella twice.
I place
(8) Sandy kissed Robin in the park.
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Theta Theory Binding
Argument vs. Adjunct (3)
I manner
(9) Sandy kissed Robin passionately.
I cause
(10) Sandy knew the answer because she had studied forthe test.
I effect or purpose
(11) etc. of an event or state-of-affairs.
Entailment test (Dowty)
Does the predicate entail existence of the argument?
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Theta Theory Binding
Argument vs. Adjunct (4)
Obligatoriness
Adjuncts are optional, arguments (of verbs) are obligatory.
(12) a. John buttered the toast at midnight with a knife.
b. John buttered the toast at midnight.
c. John buttered the toast.
(13) *John buttered.
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Theta Theory Binding
Argument vs. Adjunct (5)
Predictability
The selection and semantic contribution of arguments tends to beidiosyncratic, while semantic contribution of adjuncts is uniformand predictable.
(14) a. John ate the stake.
b. John ate.
(15) a. John devoured the steak.
b. *John devoured.
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Theta Theory Binding
Valence and selectional restrictions
Valence
Subcategory Example
V[DP__] (intransitive) LeaveV[DP__DP] (transitive type 1) HitV[DP__DP/CP] (transitive type 2) AskV[DP__DP DP] (ditransitive type 1) SpareV[DP__DP PP] (ditransitive type 2) PutV[DP__DP DP/PP] (ditransitive type 3) GiveV[DP__DP DP/PP/CP] (ditransitive type 4) Tell
I The subclassification of verbs must constitute part of nativespeakers’ lexical knowlege.
I The child acquiring English will have to learn not only thesyntactic category but also subcategory of the words.
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Theta Theory Binding
Thematic relations
We use thematic relations to describe the role that the argumentplays with respect to the predicate.
Agent
The initiator or doer of an action.
(16) a. Ryan hit Andrew.
b. Michael accidentally broke the glass.
Experiencer
Arguments that feel or perceive events.
(17) a. Leah likes cookies.
b. Lorenzo saw the eclipse.
c. Syntax frightens Kenna.
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Theta Theory Binding
Thematic relations
Theme
Entities that undergo actions, are moved, experienced or per-ceived.
(18) a. Alyssa kept her syntax book.
b. The arrow hit Ben.
c. The syntactician hates phonology.
Goal
The entity towards which motion takes place is called a goal.Goals may involve abstract motion.
(19) a. Doug went to Chicago.
b. Dave was given the pina colada mix.
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Theta Theory Binding
Thematic relations
Recipient
A special kind of goal. Recipients only occur with verbs thatdenote a change of possession.
(20) a. Mikaela gave Jessica the book.
b. Daniel received a scolding from Hanna.
Source
The entity from which a motion takes place.
(21) a. Bob gave Steve the syntax assignment.
b. Stacy came directly from sociolinguistics class.
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Theta Theory Binding
Thematic relations
Location
The place where the action occurs.
(22) a. Andrew is in Tucson’s finest apartment.
b. We’re all at school.
Instrument
The object with which an action is performed.
(23) a. Chris hacked the computer apart with an axe.
b. This key will open the door to the linguistics building.
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Theta Theory Binding
Thematic relations
Beneficiary
The one for whose benefit an event took place.
(24) a. He bought these flowers for Aaron.
b. She cooked Matt dinner.
Any given DP can have more than one thematic relation.
(25) Jason gave the books to Anna.
Agent+Source.
θ role
Theta roles are bundles of thematic relations that cluster on oneargument.
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Theta Theory Binding
Thematic grid
The identification of thematic relations is not always easy, thoughintuitively the idea should be clear.
I The information as to the semantic relationship between thepredicate and its arguments is part of the lexical knowledge ofthe native speaker and should hence also be recorded in thelexicon.
I Rather than merely specifying the number of arguments of apredicate, one may envisage a representation which specifiesthe type of thematic roles of these arguments
I In GB Theory this is represented by means of a thematic grid.
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Theta Theory Binding
Thematic grid
Example
place Source/Agent Theme Goal
DP DP PPi j k
I For each argument that the predicate requires, there is acolumn.
I Each of these columns represents a θ role.
I External θ role: the one assigned to the subject and indicatedby underlining.
I Internal θ role: others.
I No adjuncts: seem to be entirely optional.
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Theta Theory Binding
The Theta Criterion
The Theta Criterion
I Each argument is assigned one and only one theta role.
I Each theta role is assigned to one and only one argument.
Example
love Experiencer Theme
DP DP
(26) *Megani loves.love Experiencer Theme
DP DPi
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Theta Theory Binding
The Theta Criterion (cont)
(27) Megani loves Kevinj .love Experiencer Theme
DP DPi j
(28) Megani loves Jasonj Kevink.love Experiencer Theme
DP DPi j k
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Theta Theory Binding
The lexicon
The lexicon contains all the irregular and memorized parts oflanguage. Each lexical entry must contain at least the followinginformation:
I the meaning of the word
I the syntactic category of the word (N, V, A, P, T, C, etc.)
I the pronunciation of the word
I exceptional information of all kinds (such as morphologicalirregularities)
I the theta grid (argument structure).
When you learn a new word, you memorize all this information.
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Theta Theory Binding
The projection principle
The lexical items play an important part in its syntacticrepresentation.
I The lexical category of the head of a phrase determines thecategory of the phrase.
I The thematic structure of a word, encoded in the theta grid,determine the minimal components of the sentence.
This idea that lexical information to a large extent determinessyntactic structure is summed up in the projection principle:
The Projection Principle
Lexical information is syntactically represented at all levels.
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Theta Theory Binding
Outline
Theta Theory
Binding
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Theta Theory Binding
R-expression, anaphor and pronoun
Definition
I R-expression: A DP that gets its meaning by referring toan entity in the world.
I Anaphor: A DP that obligatorily gets its meaning fromanother DP in the sentence.
I Pronoun: A DP that may (but need not) get its meaningfrom another word in the sentence.
Example
I Typical anaphors are himself, herself, themselves, myself,yourself (reflexive pronouns), and each other (reciprocals).
I Typical pronouns include: he, she, it, I, you, me, we, they,us, him, her, them, his, her, your, my, our, their, one.
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Theta Theory Binding
R-expression, anaphor and pronoun
(29) a. Felicia wrote a fine paper on Zapotec. (R-expression)
b. Heidi bopped herself on the head with a zucchini.(Anaphor)
c. Aaron said that he played basketball. (Pronoun)
Key observations
Anaphors, R-expressions, and pronouns can only appear in spe-cific parts of the sentence.
(30) *Herself bopped Heidi on the head with a zucchini.
Binding Theory
The theory of the syntactic restrictions on where these differentDP types can appear in a sentence is called Binding Theory.
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Theta Theory Binding
Antecedent
Definition (Antecedent)
A DP that gives its meaning to another DP.
Example
Heidi bopped herself on the head with a zucchini.↑ ↑
antecedent anaphor
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Theta Theory Binding
Coindexation
Index a DP with a subscript letter:
(31) a. [Colin]i gave [Andrea]j [a basketball]k.
b. [Art]i said that [he]j played [basketball]k in [the dark]l.
c. [Art]i said that [he]i played [basketball]k in [the dark]l.
d. [Heidi]i bopped [herself]i on [the head]j with [azucchini]k.
Definition (Coindex)
Coindexed Two DPs are said to be coindexed if they havethe same index.
Corefer DPs that are coindexed with each other are saidto corefer.
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Theta Theory Binding
Binding
Key observations
The relations between an antecedent and a pronoun/anaphormust bear particular structural relations.
(32) a. Heidii bopped herselfi on the head with a zucchini.
b. [Heidii’s mother]j bopped herselfj on the head witha zucchini.
c. *[Heidii’s mother]j bopped herselfi on the head witha zucchini.
d. [The mother of Heidii]j bopped herselfj on the headwith a zucchini.
e. *[The mother of Heidii]j bopped herselfi on the headwith a zucchini.
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Theta Theory Binding
C-command (Recap)
Definition (C-command)
Node A c-commands node B if every node dominating A alsodominates B, and neither A nor B dominate the other.
Definition (C-command (alternative))
Node A c-commands node B if and only if:
I A does not dominate B
I B does not dominate A
I The first branching node that dominates A, also dominatesB.
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Theta Theory Binding
Binding
TP
T′
VP
V′
PP
with a zucchini
V′
PP
on the head
DPi
herself
V
bop
T
-ed
DPi
D′
NP
N′
N
Heidi
D
∅
C-command
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Theta Theory Binding
Binding
TP
T′
VP
V′
PP
with a zucchini
V′
PP
on the head
DPi
herself
V
bop
T
-ed
DPi
D′
NP
N′
N
mother
D
’s
DP
Heidi
C-command
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Theta Theory Binding
Binding
TP
T′
VP
V′
PP
with a zucchini
V′
PP
on the head
DPi
herself
V
bop
T
-ed
DP
D′
NP
N′
N
mother
D
’s
DPi
Heidi
C-command
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Theta Theory Binding
Binding
TP
T′
VP
V′
PP
with a zucchini
V′
PP
on the head
DPi
herself
V
bop
T
-ed
DPi
D′
NP
N′
PP
of Heidi
N
mother
D
The
C-command
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Theta Theory Binding
Binding
TP
T′
VP
V′
PP
with a zucchini
V′
PP
on the head
DPi
herself
V
bop
T
-ed
DP
D′
NP
N′
PP
P′
DPi
of Heidi
P
of
N
mother
D
The
C-command
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Theta Theory Binding
Binding principle
Definition (Bind)
A binds B if and only if A c-commands B and A and B arecoindexed.
I Binding is a kind of coindexation that happens when one ofthe two DPs c-commands the other.
I The binder must do the c-commanding of the bindee.
Proposal
Principle A: An anaphor must be bound.
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Theta Theory Binding
Locality conditions
(33) *Heidi said that herself discoed with Art.
TP
T′
VP
V′
CP
C′
TP
T′
discoed with Art
DPi
herself
C
that
V
say
T
-ed
DPi
Heidi
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Theta Theory Binding
Locality conditions
Key observations
I The anaphor is bound by its antecedent.
I The anaphor seems to need to find its antecedent in thesame clause.
Proposal
I Binding domain: The clause containing the DP (anaphor,pronoun, or R-expression).
I Binding Principle A (revised): An anaphor must be boundin its binding domain.
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Theta Theory Binding
The distribution of pronouns
Key observations
Pronouns may not be bound.
(34) a. Heidii bopped herj on the head with the zucchini.
b. *Heidii bopped heri on the head with the zucchini.
(35) a. Heidii said [CP that shei discoed with Art].
b. Heidii said [CP that shek discoed with Art].
Proposal
I Free: Not bound.
I Principle B: A pronoun must be free in its binding domain.
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Theta Theory Binding
The distribution of R-expressions
Key observations
R-expressions don’t seem to allow any instances of binding at all,not within the binding domain and not outside it either.
I R-expressions receive their meaning from outside thesentence.
(36) a. *Heidii kissed Miriami.
b. *Arti kissed Geoffi.
c. *Shei kissed Heidii.
d. *Shei said that Heidii was a disco queen.
Proposal
Principle C: An R-expression must be free.
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Theta Theory Binding
Reading
I Chap. 5&8. Syntax: A Generative Introduction.
* 徐列炯, 沈阳. 1998. 《题元理论与汉语配价问题》
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