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Argument Structure and State Composition∗
E. Matthew Husband
Michigan State University
End of Argument Structure
October 1st, 2010
1 Introduction
Some big questions:
• What is the role of quantization in language and cognition and how does it
interact with individuation?
• What does the domain of individuals look like? How is it structured?
The more modest goals for today:
• Draw an analogy within the domain of eventualities between states and
events.
• Convince you that objects matter to the interpretation of states.
• Argue that, as with events, quantization of objects distinguishes between
types of states.
• Suggest a part-structure account of (some) existential interpretation and link
it to aspect.
1.1 The Phenomenon
1.1.1 Event Interpretation and State Interpretation
Telicity A distinguishing property of events: the availability of a telic interpretation
which affects the possibility of endpoint modification (Dowty 1979; Vendler 1957).
• Telic events like (1a) license telic interpretation.
∗ Many thanks to Marcin Morzycki, Alan Munn, and Cristina Schmitt for their helpful comments and
discussion of the topics of this talk. Thanks also to audiences at the Midwest Workshop on Semantics,
University of Maryland’s Syntax Lunch group, GLOW 33, and SALT 20.
1
The End of Argument Structure?: Husband
• Atelic events like (1b) fail to license telic interpretation.
(1) a. The volcano erupted in an hour.
b. The volcano steamed *in an hour.
Existential Interpretation A distinguishing property of states: the availability of
existential interpretation of subjects (EIS) which effects the interpretation of bare
plurals (Carlson 1977; Kratzer 1988/1995).1,2
• Stage-level states like (2a) license EIS.
• Individual-level states like (2b) do not license EIS.
(2) a. Firemen are available. (EIS)
b. Firemen are altruistic. (*EIS)
1.1.2 Object Effects in Events and States
Objects and Telicity Whether an event licenses a telic interpretation or not de-
pends in part on the presence and type of its direct object (Verkuyl 1972; Rosen
1999).
(3) a. John ran *in ten minutes.
b. John ran miles *in ten minutes.
c. John ran this mile in ten minutes.
• The distinction between (3b) and (3c) has been taken as strong evidence
against telicity as a lexical property of (eventive) verbs (Verkuyl 1972).
1 Intuitions concerning the interpretation of bare plurals are often not clear cut. However, for a majority
of these sentences, the bare plural can be replaced by the singular indefinite which, ignoring the kind
reading, display a contrast in acceptability, as given in (i).
(i) a. A fireman is available.
b. *A fireman is altruistic.
2 My primary concern in this talk is the availability of EIS. As such, I will ignore the equally interesting
issue of whether a generic interpretation of bare plural subjects is available in these sentences.
Judgments will thus only be given concerning the EIS, with a * indicating that EIS is judged to be
unavailable.
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The End of Argument Structure?: Arguments and States
Objects and Existential Interpretation This appears to also be the case concern-
ing the availability of EIS (based on cases cited in Fernald 1994, 2000).
(4) a. Students understand. (*EIS)
b. Students understand homework. (*EIS)
c. Students understand this homework. (EIS)
• I take the distinction between (4b) and (4c) to argued against the stage-
level/individual-level distinction as a lexical property of (stative) verbs.
QUESTIONS:
• How to account for the alternation of the availability of EIS?
• What does this account tell us about the relationship between events and
states?
1.2 Roadmap
i. Briefly discuss previous accounts of object effects.
ii. Present new evidence concerning the range of object effects.
iii. Propose an analysis and note some of its properties.
iv. Extend the analysis to other related phenomena.
v. Raise some unresolved issues and conclude.
2 Previous Accounts
2.1 Event Composition: An Account of Eventive Object Effects
Starting with Verkuyl (1972), previous accounts of eventive object effects have
argued that telicity arises from the composition of the verb and its object.
• A wide range of objects have been considered.
– Homogeneous (mass noun/bare plural) objects fail to license telic in-
terpretation, (5a)–(5b).
– Quantized objects license telic interpretation, (5c)–(5h).3
3 I am assuming Borer’s (2005a; 2005b) definitions to distinguish between quantized and homogeneous
objects, given in (i).
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The End of Argument Structure?: Husband
(5) a. Robby ate food *in an hour. (Mass Noun)
b. Robby ate sandwiches *in an hour. (Bare Plural)
c. Robby ate a sandwich in an hour. (Singular Indefinite)
d. Robby ate two sandwiches in an hour. (Bare Numeral)
e. Robby ate many sandwiches in an hour. (Weak Quantifier)
f. Robby ate the sandwich in an hour. (Definite)
g. Robby ate these sandwiches in an hour. (Demonstrative)
h. Robby ate every sandwich in an hour. (Strong Quantifier)
Kratzer (2004) derives the effect of objects on their event through the meaning of
the accusative case.
• Accusative case enforces an Object-to-Event mapping (Krifka 1998) through
the denotation given in (6) (simplifying Kratzer’s (2004) proposal for clarity
of exposition).4,5
– The Object-to-Event mapping constructs a homogeneous event when-
ever the part-structure of the object is homogeneous.
– The Object-to-Event mapping constructs a quantized event whenever
the part-structure of the object is quantized.
(i) a. Quantity: P is quantity iff P is not homogeneous.
b. Homogeneous: P is homogeneous iff P is cumulative and divisive.
i. P is cumulative iff ∀x,y[P(x) & P(y) → P(x∪y)]
P is cumulative iff for all x and y with property P, the union of x and y also has
property P.
ii. P is divisive iff ∀x[P(x) → ∃y[P(y) & y < x] & ∀x,y[P(x) & P(y) & y < x → P(x−
y)]]
P is divisive iff for all x with property P there is a proper part y of x which also has
property P, and for all x and y with property P if y is a proper part of x then the
subtraction of y from x also has property P.
4 Semantic types: individuals, e; eventualities, s; and propositions, t.
Variables: over individuals, x and y; over eventualities, e for events and s for states.
5 Kratzer’s (2004) final proposal for the meaning of ACC takes non-trivial part structures of objects into
account which are often at stake when determining telicity. She supplies a measure function f and
suggests that “general cognitive mechanisms” determine the proper measuring function of the object
referent.
(i) JACCK = λRhe,hs,tiiλxλe[R(x)(e) & ∃f[measure( f) & ∀x′[x′ ≤ f(x) → ∃e′[e′ ≤ e & R(x′)(e′)]]]]
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The End of Argument Structure?: Arguments and States
(6) JACCK = λRhe,hs,tiiλxλe[R(x)(e) & ∀x′
[x′
≤ x → ∃e′
[e′
≤ e & R(x′
)(e′
)]]
| {z }
Object-to-Event Mapping
]
• Accusative case enters into the composition of the VP as shown in (7).
(7) hs,ti
DP he,hs,tii
ACChhe,hs,tii,he,hs,tiii he,hs,tii
λ1 hs,ti
Vhe,hs,tii 1
2.2 Requiring Topics: An Account of Stative Object Effects
Starting with Glasbey (1997), previous approaches have focused on the role of
discourse in licensing EIS.
• Jäger (2001) proposes that the distinction is linked to a topic requirement.
“Discourse linking principle: Every atomic clause has a topic.”
• Kratzer & Selkirk’s (2007) refinement of Jäger (2001): “The source of the
syntactic differences is the requirement that there must be a syntactically
represented topic.”
(8) a. Ich
I
weiss,
know
dass
that
dieses
this
Haus
house
Maffiosi
mafia.members
besitzen.
own
‘I know that mafia members own this house.’
(EIS)
b. [CP [TopicP dieses Haus [TP [vP Maffiosi [V tV ] besitzenV +v ] T ] Topic ] ]
(9) a. Ich
I
weiss,
know
dass
that
Maffiosi
mafia.members
Häuser
houses
besitzen.
own
‘I know that mafia members own houses.’
(*EIS)
b.??Ich
I
weiss,
know
dass
that
Häuser
houses
Maffiosi
mafia.members
besitzen.
own
c. [CP [TopicP Maffiosii [TP ti [vP ti [VP Häuser besitzenV ] v ] T ] Topic ] ]
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The End of Argument Structure?: Husband
• In (8a), the topic is a scrambled discourse-given object dieses Haus ‘this
house’.
– The subject Maffiosi ‘mafia members’ may remain low and be non-
topicial (8b).
• In (9a), the topic can only be the subject Maffiosi ‘mafia members’.
– The object Häuser is not discourse-given and cannot scramble (9b).
– The subject Maffiosi ‘mafia members’ must raise to topic position,
becoming a topic (9c).6
2.3 Predictions
The Event Composition Approach
• Object effects arise from the quantization of the object and its interaction
with event structure.
• Homogeneous objects (bare plurals/mass nouns) create homogeneous (atelic)
events. Quantized objects create quantized (telic) events.
The Requiring Topics Approach
• Object effects are conditioned by the ability of the object to function as a
topic.
• To be a topic, the object must be strong. Weak objects cannot be topics (Jäger
2001).
Mass Noun, Weak Numeral, Strong Determiner
Bare Plural Determiner, or Quantifier or Quantifier
quantization *EIS EIS EIS
weak/strong *EIS *EIS EIS
• Event composition accounts depend on the distinction being made around
the presence of quantized/homogeneous objects.
• Requiring Topics accounts depend on the distinction being made around the
presence of weak/strong objects.
6 Kratzer & Selkirk (2007) also observe that the predicate in (8a) can be deaccented, whereas an accent
on the predicate in (9a) is required.
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The End of Argument Structure?: Arguments and States
• For telicity, the case is clear. Quantization of the object determines the
telicity of the event.
• However, the available data on EIS has only examined bare plural objects
(homogeneous and weak) and demonstrative objects (quantized and strong).
– These two cases cannot distinguish between Event Composition and
Requiring Topics approaches.
– Data on a wider range of object types is needed.
QUESTION: What types of objects license/fail to license EIS?
3 Objects Effects Revisited
Mass noun objects do not license EIS.
(10) a. Monkeys live on land. (*EIS)
b. Tycoons own silverware. (*EIS)
Bare plural objects do not license EIS.7
(11) a. Monkeys live in trees. (*EIS)
b. Tycoons own banks. (*EIS)
Bare plural numerals can license EIS, though only marginally.
(12) a. Monkeys live in three trees. (?EIS)
b. Tycoons own two banks. (?EIS)
Singular indefinites can license EIS, also marginally.8
(13) a. Monkeys live in a tree. (?EIS)
b. Tycoons own a bank. (?EIS)
7 Even the addition of a context which strongly biases for EIS, such as those in (i), fails to license EIS
for these sentences.
(i) a. Monkey Context: “Behind my house is mangrove forest.”
b. Tycoon Context: “In this city there are over 50 privately owned banks.”
These contexts can also be used in other cases where the object’s referent is murky (e.g. (12) and
(13)), although they are not appropriate for all cases. The role context plays in these examples may
have broader implications. See Husband (2010) for more discussion.
8 The singular indefinite subject may sharpen the acceptability of EIS given a singular indefinite object.
(i) a. A monkey lives in a tree.
b. A tycoon owns a bank.
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The End of Argument Structure?: Husband
Weak quantifiers can license EIS.
(14) a. Monkeys live in several trees. (EIS)
b. Tycoons own several banks. (EIS)
(15) a. Monkeys live in many trees. (EIS)
b. Tycoons own many banks. (EIS)
Definites can license EIS.
(16) a. Monkeys live in the trees. (EIS)
b. Tycoons own the bank. (EIS)
Demonstratives can license EIS.
(17) a. Monkeys live in these trees. (EIS)
b. Tycoons own this bank. (EIS)
Strong quantifiers can license EIS.
(18) a. Monkeys live in every tree. (EIS)
b. Tycoons own every bank. (EIS)
(19) a. Monkeys live in each tree. (EIS)
b. Tycoons own each bank. (EIS)
The following table groups and summarizes the data.
Mass Noun/ Weak Determiners/ Weak-Strong Quantifiers/
Bare Plural Numerals Strong Determiners
Bare Plural *EIS ?EIS EIS
• Weak quantifiers, which cannot be topics but are quantized, license EIS.
• Weak determiners and numerals, which cannot be topics but are quantized,
can license EIS (although with more difficulty).
→ Evidence against weak/strong.
→ Evidence for quantization.
3.1 Interim Conclusion 1
The Event Composition approach better captures the availability of EIS.
• Quantized objects license EIS.
• Homogeneous objects fail to license EIS.
8
The End of Argument Structure?: Arguments and States
Telicity and EIS are licensed by the same types of objects.
Mass Noun/ Weak Determiners/ Weak-Strong Quantifiers/
Bare Plural Numerals Strong Determiners
Bare Plural *EIS ?EIS EIS
Telicity *in X time in X time in X time
4 The Analysis
GOALS
• Capture the similarity between the conditions which license EIS and those
which license telicity.
• Explain how quantization originating with the object may license EIS.
In two parts:
i. First, I will argue that the VPs of state predicates are composed together
using the same mechanisms which compose event predicate VPs.
ii. Second, I will suggest that EIS arises from the part structure enforced on the
subject.
4.1 The Composition of Stative VPs
OBSERVATION: Telicity and EIS are both sensitive to the quantization of their
objects.
• PROPOSAL: Eventive VPs and stative VPs both compose in the same way,
through the meaning of the accusative case, (20).
– This captures the similarity between eventive and stative VPs.
(20) JACCK = λRhe,hs,tiiλxλs[R(x)(s) & ∀x′
[x′
≤ x → ∃s′
[s′
≤ s & R(x′
)(s′
)]]
| {z }
Object-to-Event Mapping
]
Example of a homogeneous stative VP (21) and a quantized stative VP (22).
(21) Jown banksK =
λs[own(s)(banks) & ∀x′[x′ ≤ banks → ∃s′[s′ ≤ s & own(s′)(x′)]]]
(22) Jown this bankK =
λs[own(s)(this-bank) & ∀x′[x′ ≤ this-bank → ∃s′[s′ ≤ s & own(s′)(x′)]]]
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The End of Argument Structure?: Husband
4.2 The Interpretation of Subjects
4.2.1 Making Sense of Part-Structure and EIS
GOALS: Link the availability of EIS to the part-structure of states.9
• Ladusaw (1994) and McNally (1998) both discuss stage-level/individual-
level predicates in terms of thetic/categorical judgments.
– Stage-level predicates are thetic statements, i.e. statements “about”
events.
– Individual-level predicates are categorical statements, i.e. statements
“about” individuals.
However, states in general are taken to be “about” individuals (Higginbotham &
Ramchand 1997; Ramchand 1997; Raposo & Uriagereka 1995).
• My suggestion: Think about stage-level/individual-level states in terms of
stages of individuals (Carlson 1977).
– Stage-level states are statements “about” a stage of an individual.
– Individual-level states are statements “about” all the stages of an indi-
vidual.
QUESTION: How does the part-structure of the VP relate to the stages of the subject?
• When the VP is homogeneous (has a homogeneous object), the state applies
to homogeneous stages of the subject.
– As these stages compose the individual itself, no particular spatiotem-
poral stage of the individual is individuated and EIS is blocked.
• When the VP is quantized (has a quantized object), the state applies to only
a quantized stage of the subject.
– This quantized stage, as a particular spatiotemporal slice of the individ-
ual, guarantees existence (McNally 1998).
Under this conception, EIS is about the aspectual makeup of the individual.
9 This approach is somewhat akin to suggestions from Chierchia (1998) about using parts of individuals
across worlds to understand genericity.
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The End of Argument Structure?: Arguments and States
4.2.2 The Mechanics
QUESTION: How do we relate VP part-structure to the subject’s part-structure?
• Kratzer (1996) introduce the external argument though a Voice head using
Event Identification, given in (23).
• The aktionsart of the eventuality variable selects for the thematic role of the
external argument as a constraint on Event Identification.
– Eventive eventualities select for an eventive Voice head (bearing the
Agent relation).
– Stative eventualities select for a stative Voice head (bearing the Holder
relation).
* Note: This distinguishes eventive and stative sentences.
• SUGGESTION: In addition to specifying the external argument’s relation to
the stative eventuality, the stative Voice head also enforces an Event-to-Object
mapping as given in (24).10
– The Event-to-Object mapping makes the individual homogeneous
whenever the part-structure of the state is homogeneous.
– The Event-to-Object mapping makes the individual quantized whenever
the part-structure of the state is quantized.
(23) Event Identification:
fhe,hs,tii ghs,ti → hhe,hs,tii
λxλe[ f(x)(e)] λe[g(e)] → λxλe[f(x)(e) & g(e)]
(24) JVoiceSK = λxλs[Holder(s)(x) & ∀s′
[s′
≤ s → ∃x′
[x′
≤ x & Holder(s′
)(x′
)]]
| {z }
Event-to-Object Mapping
]
The external argument is introduced by Event Identification as in (25).
10 Evidence given in (i) suggests that a similar mapping appears to also be needed in events, although it
is another Object-to-Event mapping as the part-structure of the subject affects the part-structure of
the event, given in (ii).
(i) a. Settlers crossed the desert for years.
b. #The settlers crossed the desert for years.
(ii) JVoiceEK = λxλs[Agent(e)(x) & ∀x′
[x′
≤ x → ∃e′
[e′
≤ e & Agent(e′
)(x′
)]]
| {z }
Object-to-Event Mapping
]
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The End of Argument Structure?: Husband
(25) hs,ti
DP he,hs,tii (by Event Identification)
Voicehe,hs,tii hs,ti
The following denotations including the external argument are given for a homoge-
neous state (26) and a quantized state (27).
(26) JTycoons own banksK = λs[Holder(s)(tycoons) & ∀s′[s′ ≤ s → ∃y′[y′ ≤
tycoons & Holder(s′)(x′)]] & own(s)(banks) & ∀x′[x′ ≤ banks → ∃s′[s′ ≤
s & own(s′)(x′)]]]
(27) JTycoons own this bankK = λs[Holder(s)(tycoons) & ∀s′[s′ ≤ s → ∃y′[y′ ≤
tycoons & Holder(s′)(x′)]] & own(s)(this-bank) & ∀x′[x′ ≤ this-bank →
∃s′[s′ ≤ s & own(s′)(x′)]]]
4.2.3 Evidence for Voice in States
Kratzer (1996) proposes that Voice preforms two functions.
• Voice introduces the external argument, and...
• Voice assigns accusative case to the object.
She suggests that the presence of Voice can be detected in different types of nomi-
nalizations.
• In of-ing gerunds, -ing attaches to the verb, preventing assignment of ac-
cusative case to the object and thus also blocking Voice as in (28).
– The genitive DP may express “a general notion of relatedness of which
the agent relation is but a special case” to the event, given in (30).
• In poss-ing gerunds, -ing attaches to the VP. Accusative case is assigned to
the object and Voice must project as in (29).
– The genitive DP must express the agent relation to the event, given in
(31).
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The End of Argument Structure?: Arguments and States
(28) [DP Maria [ ’s [NP [NP -ing read ] [PP of Pride and Prejudice ] ] ] ]
(29) [DP Mariai [ ’s [NP -ing [VoiceP ti [ Voice [VP read [DP Pride and Prejudice ] ]
] ] ] ] ]
(30) We remember Maria’s reading of Pride and Prejudice.
a. Maria is the Agent of the reading Pride and Prejudice event.
b. Maria is only related to the reading Pride and Prejudice event.
(31) We remember Maria’s reading Pride and Prejudice.
a. Maria is the Agent of the reading Pride and Prejudice event.
b. *Maria is only related to the reading Pride and Prejudice event.
QUESTION: Can we use the same test to detect the presence of Voice in statives?11
• The genitive DP may express a general notion of relatedness to the state,
given in (32).
• The genitive DP must express the holder relation to the state, given in (33).
(32) Glenn Beck’s hating of Obama was contagious.
a. Glenn Beck is the Holder of the hating Obama state.
b. Glenn Beck is only related to the hating Obama state.
(33) Glenn Beck’s hating Obama was contagious.
a. Glenn Beck is the Holder of the hating Obama state.
b. *Glenn Beck is only related to the hating Obama state.
Two further predictions arise from the hypothesis that Voice is the locus of EIS.
• By assigning accusative case to their objects, poss-ing gerunds should alter-
nate in the availability of EIS given their object.
• By not assigning accusative case to their objects, of-ing gerunds should not
alternate in the availability of EIS given their object.
– Furthermore, the subjects of of-ing gerunds, lacking Voice, should be
unable to license EIS.
11 The context given in (i) can be used to support a reading where Glenn Beck is only related to the
hating Obama state.
(i) We all know that sometimes political pundits fake their personal feelings when speaking to their
base. You know, anything for the rating!
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The End of Argument Structure?: Husband
To the extent these judgments are clear, all are born out.12
(34) a. News anchors’ hating these politicians was contagious. (EIS)
b. News anchors’ hating politicians was contagious. (*EIS)
(35) a. News anchors’ hating of these politicians was contagious. (*EIS)
b. News anchors’ hating of politicians was contagious. (*EIS)
4.3 Interim Conclusion 2
• EIS is a matter of aspect, i.e. the internal temporal make up of an individual;
that is, the stages of an individual.
• Predicates are always predicating of stages of individuals.
– Homogeneous predicates apply to homogeneous stages of the subject.
– Quantized predicates apply to a quantized stage of the subject.
5 Extensions
5.1 Lifetime Effects
Musan (1995, 1997) and others (Percus 1997; Maienborn 2004; Magri 2006) have
proposed that lifetime effects are pragmatic.
• Musan (1997), for instance, captures lifetime effects through a conversational
implicature.
– Predicates in the past tense assert that a situation is over.
– Individual-level predicates hold throughout an individual’s lifetime,
(37a).
– The implicature: If the subject was still alive, it would be more infor-
mative to use the present tense; therefore, the subject is dead, (37b).
(36) Gregory was from America. Gregory is dead.
12 Many thanks to E.T. Cunningham for her clear judgments on these data.
14
The End of Argument Structure?: Arguments and States
(37) a. Jbe from AmericaKc = the function f : Di → Dhe,ti, such that, for any
t ∈ Di, f(t) = the partial function g : D → 0,1, such that, for any x ∈ D,
x is the domain of g iff x is alive at t, and for any x in the domain of g,
g(x) = 1 iff x is from America at t.
b. Since being from America is a property that, if it holds of an individual at
all, holds of that individual over its entire lifetime, and since the speaker
has implicated that Gregory’s beings from America is over, the speaker
has implicated furthermore that Gregory is dead.
QUESTION: How does one know when a predicate is individual-level, especially
given object effects?
• SUGGESTION: Lifetime effects are derived from the quantization of predi-
cate.
• Homogeneous predicates apply to homogeneous stages of the subject, i.e.
the individual itself.
– Lifetime effects arise because all of the stages of the individual are put
in the past.
• Quantized predicates apply to a quantized stage of the subject, i.e. a stage of
the individual.
– Lifetime effects do not arise because only some stage of the individual
is put in the past.
Evidence: The lifetime effect is much weaker in (38b) compared to (38a).
(38) a. John owned banks. John is dead.
b. John owned this bank. 6 John is dead.
5.2 Temporal Modification
Percus (1997) notes that not all temporal modification is ruled out for individual-level
predicates.
(39) a. #John was tall yesterday.
b. John was tall in his adulthood.
He argues that out-of-the-blue utterances are evaluated with respect to our world
knowledge (world knowledge forms the basic context), and that part of our world
knowledge is whether a property tends to be stable from one time point to another.
(40) P is tendentially stable iff ∀s1,s2 ∈ Wd,x [P(s1)(x) = 1 & s2 follows s1
temporally & P(s2)(x) is defined] → P(s2)(x) = 1
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The End of Argument Structure?: Husband
• Properties which tend to not change from one situation to the next, i.e. those
which tend to be stable over time (40), are not acceptable with temporal
modifiers...
– Unless a sufficient context is available which suspends their temporal
stability.13
– Or the temporal modifier itself establishes a period of time compatible
with our world knowledge.
QUESTION: How do we know that a predicate is tendentially stable, again, especially
given object effects?
• SUGGESTION: Stability may ride on the part-structure of the state, i.e. can
be determined in part by the semantics.
• Properties which tend to be stable (individual-level states) are homogeneous
states.
– The temporal contour of a homogeneous state is open-ended and ex-
tends indefinitely.
– Only temporal modifiers which can encompass open ended temporal
extents can modify homogeneous states.
• Properties which are do not tend to be stable (stage-level states) are quantized
states.
– A quantized state may have multiple distinct instances, which are not
open-ended and can come and go.
– The range of temporal modifiers is much wider for quantized states.
Evidence: Modification by yesterday is improved in (41b) compared to (41a).
(41) a. #John owned banks yesterday.
b. John owned this bank yesterday.
6 Conclusions
• States, like events, are sensitive to the types of their objects.
– Some evidence against requiring topics accounts for the availability of
EIS.
13 Again, the role of context crops up concerning the interpretation of stative predicates. See Husband
(2010) for further discussion.
16
The End of Argument Structure?: Arguments and States
– The distinction which makes the right cut is quantization of objects.
– An event composition account can be extended to include both events
and states, unifying the treatment of the domain of eventualities.
• EIS is an aspectual issue.
– Stative predicates apply to stages of individuals.
– The part-structure of the subject is inherited from the quantization of
the state.
– EIS is derived from the part-structure of the individual.
* Homogeneous stative predicates apply to all the stages of the
individual.
* Quantized stative predicates apply to a stage of the individual,
ensuring existence.
• Quantization derives some of the temporal behaviors of individuals in stage-
level/individual-level states.
A Licensing EIS by Locatives
Another hallmark of stage-level/individual-level states is their compatibility with
locative modifiers (Carlson 1977; Kratzer 1988/1995).
(42) a. Stage-level: John is available in the next room.
b. Individual-level: #John is altruistic in the next room.
• We would expect a predicate’s compatibility with locative modifiers to be
sensitive to the type of object. ..
• But, locative modifiers are acceptable with these predicates.
– When present they license EIS, even when the object does not!, (43b).
(43) a. Tycoons own this house near here. (EIS)
b. Tycoons own houses near here. (EIS)
Jäger (2001) and Kratzer & Selkirk (2007), operating under a Requiring Topics
approach, propose that a silent locative or temporal pronoun could function as a
topic.
• Stage-level predicates are compatible with locative modification.
17
The End of Argument Structure?: Husband
• Individual-level predicates are incompatible with locative modification.
(44) a. Ich
I
hab’
have
geträumt,
dreamed
dass
that
(dann)
(then)
der
the
Rhein
Rhine
ausgetrocknet
dried.up
ist.
is
‘I dreamt that the Rhine dried up (then).’
(EIS)
b. [CP [TopicP pro/dann [TP [vP [VP der Rhine ausgetrocknet ist ] v ] T ] Topic ] ]
Two possibilities:
• Possibility 1: There is a second route to EIS: Silent/overt locatives may
license EIS.
– Note: the silent locative requires a particular stage of an individual, i.e.
it localizes the individual (McNally 1998).
• Possibility 2: Locatives, silent or overt, change the aspectual character of the
predicate.
– Prepositions (and other categories) also influence aspect and may be
part of aspectual composition (Winter 2006; Zwarts 2005).
B Licensing EIS through Discourse Context
Glasbey (1997) argues that discourse context may license EIS.
• EIS is unlicensed in (45), but the addition of discourse context allows EIS in
(46).14
(45) Drinkers were under-age. (*EIS)
(46) John was shocked by his visit to the Red Lion. Drinkers were under-age,
drugs were on sale, and a number of fights broke out while he was there.
OBSERVATION: (46) includes not only discourse context, but also an explicit loca-
tive, there (Jäger 2001; Kratzer & Selkirk 2007).
14 Glasbey (1997) does not provide judgments for the other predicates conjoined in (46). I find these
acceptable with EIS, presumably due to past tense and the eventive predicate break out.
(i) a. Drugs were on sale. (EIS)
b. Fights broke out. (EIS)
18
The End of Argument Structure?: Arguments and States
• (47) corrects for the locative (and the tense), and EIS appears to still be
available (though the judgments here are far more questionable).
(47) The inspector was impressed on his visit to the Green Door and indicated so
to the owner. ”You’re doing a good job enforcing the age-limit. Drinkers are
over 21 years old.”
INTUITION: To the extent that EIS is licensed in (47), the discourse makes a location
accessible.
• SUGGESTION: Discourse context may be used to license silent locatives (see
Appendix A).
• Even for those predicates whose subjects Kratzer & Selkirk (2007) argues
must be topics, discourse context may license EIS.
– These seem to be the same places where an overt locative can be used.
(48) Mark visited the mental health hospital today and he told me, “Mental health
patients are crazy (there)!”
• Note: Contexts do not license EIS for those predicates with homogeneous
objects. See (10) and (11) and ft. 7.
Ultimately, we may need to use other related phenomena (such as Kratzer & Selkirk’s
(2007) observations about phrasal stress) to determiner the presence of a silent
locative.
References
Borer, Hagit. 2005a. In name only. Oxford: Oxford University Press.
Borer, Hagit. 2005b. The normal course of events. Oxford: Oxford University Press.
Carlson, Gregory N. 1977. Reference to kinds in English. Ph.D. thesis, University of Massachusetts,
Amherst.
Chierchia, Gennaro. 1998. Reference to kinds across language. Natural language semantics 6(4).
339–405.
Dowty, David R. 1979. Word meaning and Montague grammar: The semantics of verbs and times in
generative semantics and in Montague’s PTQ. Springer.
Fernald, Theodore B. 1994. On the nonuniformity of the individual- and stage-level effects. Ph.D.
thesis, University of California, Santa Cruz.
Fernald, Theodore B. 2000. Predicates and temporal arguments. Oxford: Oxford University Press.
Glasbey, Sheila. 1997. I-level predicates that allow existential readings for bare plurals. In A. Larson
(ed.), Proceedings of Semantics and Linguistic Theory VII, 169–179. Cornell University, Ithica,
NY.
19
The End of Argument Structure?: Husband
Higginbotham, James & Gillian Ramchand. 1997. The stage-level/individual-level distinction and the
mapping hypothesis. In Oxford university working papers in linguistics, philology and phonetics,
vol. 2, 53–83.
Husband, E. Matthew. 2010. On the compositional nature of stativity. Ph.D. thesis, Michigan State
University.
Jäger, Gerhard. 2001. Topic-comment structure and the contrast between stage level and individual
level predicates. Journal of Semantics 18. 83–126.
Kratzer, Angelica. 1988/1995. Stage-level/individual-level predicates. In G.N. Carlson & F.J. Pelletier
(eds.), The generic book, 125–175. University of Chicago Press.
Kratzer, Angelica. 1996. Severing the external argument from its verb. In J. Rooryck & L. Zaring
(eds.), Phrase structure and the lexicon, 109–137. Dordrecht, Kluwer.
Kratzer, Angelica. 2004. Telicity and the meaning of objective case. In J. Guéron & J. Lecarme
(eds.), The syntax of time, 389–424. The MIT Press.
Kratzer, Angelica & Elisabeth Selkirk. 2007. Phase theory and prosodic spellout: The case of verbs.
The Linguistic Review 24(2-3). 93–135.
Krifka, Manfred. 1998. The origins of telicity. In S. Rothstein (ed.), Events and grammar, 197–235.
Kluwer Academic Publishers.
Ladusaw, William A. 1994. Thetic and categorical, stage and individual, weak and strong. In
M. Harvey & L. Santelmann (eds.), Proceedings of semantics and linguistic theory iv, 220–229.
Ithaca, NY.
Magri, Giorgio. 2006. The blindness hypothesis and individual level predicates. In Proceedings of
semantics and linguistic theory xvi. CLC Publications, Cornell University, Ithaca.
Maienborn, Claudia. 2004. A pragmatic explanation of the stage level/individual level contrast in
combination with locatives. In B. Agbayani, V. Samiian & B. Tucker (eds.), Proceedings of the
western conference on linguistics, vol. 15, 158–179. Fresno: CSU.
McNally, Louise. 1998. Stativity and theticity. In S. Rothstein (ed.), Events and grammar, 293–307.
Kluwer Academic Publishers.
Musan, Renate. 1995. On the temporal interpretation of noun phrases. Ph.D. thesis, MIT.
Musan, Renate. 1997. Tense, predicates, and lifetime effects. Natural Language Semantics 5(3).
271–301.
Percus, Orion J. 1997. Aspects of a. Ph.D. thesis, MIT.
Ramchand, Gillian. 1997. Aspect and predication: The semantics of argument structure. Oxford
University Press.
Raposo, Eduardo & Juan Uriagereka. 1995. Two types of small clauses (Toward a syntax of
theme/rheme relations). In A. Cardinaletti & M. Guasti (eds.), Syntax and semantics: Small
clauses, vol. 28, 179–206. San Diego, CA: Academic Press.
Rosen, Sara T. 1999. The syntactic representation of linguistic events. Glot International 4(2). 3–11.
Vendler, Zeno. 1957. Verbs and times. Philosophical Review 66(2). 143–160.
Verkuyl, Henk J. 1972. The compositional nature of the aspects, vol. 15, Foundations of Language
Supplementary Series. Dordrecht: Reidel.
Winter, Yoad. 2006. Closure and telicity across categories. In Proceedings of Semantics and Linguistic
Theory XVI.
Zwarts, Joost. 2005. Prepositional aspect and the algebra of paths. Linguistics and Philosophy 28(6).
739–779.
20

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Argument Structure And State Composition

  • 1. Argument Structure and State Composition∗ E. Matthew Husband Michigan State University End of Argument Structure October 1st, 2010 1 Introduction Some big questions: • What is the role of quantization in language and cognition and how does it interact with individuation? • What does the domain of individuals look like? How is it structured? The more modest goals for today: • Draw an analogy within the domain of eventualities between states and events. • Convince you that objects matter to the interpretation of states. • Argue that, as with events, quantization of objects distinguishes between types of states. • Suggest a part-structure account of (some) existential interpretation and link it to aspect. 1.1 The Phenomenon 1.1.1 Event Interpretation and State Interpretation Telicity A distinguishing property of events: the availability of a telic interpretation which affects the possibility of endpoint modification (Dowty 1979; Vendler 1957). • Telic events like (1a) license telic interpretation. ∗ Many thanks to Marcin Morzycki, Alan Munn, and Cristina Schmitt for their helpful comments and discussion of the topics of this talk. Thanks also to audiences at the Midwest Workshop on Semantics, University of Maryland’s Syntax Lunch group, GLOW 33, and SALT 20. 1
  • 2. The End of Argument Structure?: Husband • Atelic events like (1b) fail to license telic interpretation. (1) a. The volcano erupted in an hour. b. The volcano steamed *in an hour. Existential Interpretation A distinguishing property of states: the availability of existential interpretation of subjects (EIS) which effects the interpretation of bare plurals (Carlson 1977; Kratzer 1988/1995).1,2 • Stage-level states like (2a) license EIS. • Individual-level states like (2b) do not license EIS. (2) a. Firemen are available. (EIS) b. Firemen are altruistic. (*EIS) 1.1.2 Object Effects in Events and States Objects and Telicity Whether an event licenses a telic interpretation or not de- pends in part on the presence and type of its direct object (Verkuyl 1972; Rosen 1999). (3) a. John ran *in ten minutes. b. John ran miles *in ten minutes. c. John ran this mile in ten minutes. • The distinction between (3b) and (3c) has been taken as strong evidence against telicity as a lexical property of (eventive) verbs (Verkuyl 1972). 1 Intuitions concerning the interpretation of bare plurals are often not clear cut. However, for a majority of these sentences, the bare plural can be replaced by the singular indefinite which, ignoring the kind reading, display a contrast in acceptability, as given in (i). (i) a. A fireman is available. b. *A fireman is altruistic. 2 My primary concern in this talk is the availability of EIS. As such, I will ignore the equally interesting issue of whether a generic interpretation of bare plural subjects is available in these sentences. Judgments will thus only be given concerning the EIS, with a * indicating that EIS is judged to be unavailable. 2
  • 3. The End of Argument Structure?: Arguments and States Objects and Existential Interpretation This appears to also be the case concern- ing the availability of EIS (based on cases cited in Fernald 1994, 2000). (4) a. Students understand. (*EIS) b. Students understand homework. (*EIS) c. Students understand this homework. (EIS) • I take the distinction between (4b) and (4c) to argued against the stage- level/individual-level distinction as a lexical property of (stative) verbs. QUESTIONS: • How to account for the alternation of the availability of EIS? • What does this account tell us about the relationship between events and states? 1.2 Roadmap i. Briefly discuss previous accounts of object effects. ii. Present new evidence concerning the range of object effects. iii. Propose an analysis and note some of its properties. iv. Extend the analysis to other related phenomena. v. Raise some unresolved issues and conclude. 2 Previous Accounts 2.1 Event Composition: An Account of Eventive Object Effects Starting with Verkuyl (1972), previous accounts of eventive object effects have argued that telicity arises from the composition of the verb and its object. • A wide range of objects have been considered. – Homogeneous (mass noun/bare plural) objects fail to license telic in- terpretation, (5a)–(5b). – Quantized objects license telic interpretation, (5c)–(5h).3 3 I am assuming Borer’s (2005a; 2005b) definitions to distinguish between quantized and homogeneous objects, given in (i). 3
  • 4. The End of Argument Structure?: Husband (5) a. Robby ate food *in an hour. (Mass Noun) b. Robby ate sandwiches *in an hour. (Bare Plural) c. Robby ate a sandwich in an hour. (Singular Indefinite) d. Robby ate two sandwiches in an hour. (Bare Numeral) e. Robby ate many sandwiches in an hour. (Weak Quantifier) f. Robby ate the sandwich in an hour. (Definite) g. Robby ate these sandwiches in an hour. (Demonstrative) h. Robby ate every sandwich in an hour. (Strong Quantifier) Kratzer (2004) derives the effect of objects on their event through the meaning of the accusative case. • Accusative case enforces an Object-to-Event mapping (Krifka 1998) through the denotation given in (6) (simplifying Kratzer’s (2004) proposal for clarity of exposition).4,5 – The Object-to-Event mapping constructs a homogeneous event when- ever the part-structure of the object is homogeneous. – The Object-to-Event mapping constructs a quantized event whenever the part-structure of the object is quantized. (i) a. Quantity: P is quantity iff P is not homogeneous. b. Homogeneous: P is homogeneous iff P is cumulative and divisive. i. P is cumulative iff ∀x,y[P(x) & P(y) → P(x∪y)] P is cumulative iff for all x and y with property P, the union of x and y also has property P. ii. P is divisive iff ∀x[P(x) → ∃y[P(y) & y < x] & ∀x,y[P(x) & P(y) & y < x → P(x− y)]] P is divisive iff for all x with property P there is a proper part y of x which also has property P, and for all x and y with property P if y is a proper part of x then the subtraction of y from x also has property P. 4 Semantic types: individuals, e; eventualities, s; and propositions, t. Variables: over individuals, x and y; over eventualities, e for events and s for states. 5 Kratzer’s (2004) final proposal for the meaning of ACC takes non-trivial part structures of objects into account which are often at stake when determining telicity. She supplies a measure function f and suggests that “general cognitive mechanisms” determine the proper measuring function of the object referent. (i) JACCK = λRhe,hs,tiiλxλe[R(x)(e) & ∃f[measure( f) & ∀x′[x′ ≤ f(x) → ∃e′[e′ ≤ e & R(x′)(e′)]]]] 4
  • 5. The End of Argument Structure?: Arguments and States (6) JACCK = λRhe,hs,tiiλxλe[R(x)(e) & ∀x′ [x′ ≤ x → ∃e′ [e′ ≤ e & R(x′ )(e′ )]] | {z } Object-to-Event Mapping ] • Accusative case enters into the composition of the VP as shown in (7). (7) hs,ti DP he,hs,tii ACChhe,hs,tii,he,hs,tiii he,hs,tii λ1 hs,ti Vhe,hs,tii 1 2.2 Requiring Topics: An Account of Stative Object Effects Starting with Glasbey (1997), previous approaches have focused on the role of discourse in licensing EIS. • Jäger (2001) proposes that the distinction is linked to a topic requirement. “Discourse linking principle: Every atomic clause has a topic.” • Kratzer & Selkirk’s (2007) refinement of Jäger (2001): “The source of the syntactic differences is the requirement that there must be a syntactically represented topic.” (8) a. Ich I weiss, know dass that dieses this Haus house Maffiosi mafia.members besitzen. own ‘I know that mafia members own this house.’ (EIS) b. [CP [TopicP dieses Haus [TP [vP Maffiosi [V tV ] besitzenV +v ] T ] Topic ] ] (9) a. Ich I weiss, know dass that Maffiosi mafia.members Häuser houses besitzen. own ‘I know that mafia members own houses.’ (*EIS) b.??Ich I weiss, know dass that Häuser houses Maffiosi mafia.members besitzen. own c. [CP [TopicP Maffiosii [TP ti [vP ti [VP Häuser besitzenV ] v ] T ] Topic ] ] 5
  • 6. The End of Argument Structure?: Husband • In (8a), the topic is a scrambled discourse-given object dieses Haus ‘this house’. – The subject Maffiosi ‘mafia members’ may remain low and be non- topicial (8b). • In (9a), the topic can only be the subject Maffiosi ‘mafia members’. – The object Häuser is not discourse-given and cannot scramble (9b). – The subject Maffiosi ‘mafia members’ must raise to topic position, becoming a topic (9c).6 2.3 Predictions The Event Composition Approach • Object effects arise from the quantization of the object and its interaction with event structure. • Homogeneous objects (bare plurals/mass nouns) create homogeneous (atelic) events. Quantized objects create quantized (telic) events. The Requiring Topics Approach • Object effects are conditioned by the ability of the object to function as a topic. • To be a topic, the object must be strong. Weak objects cannot be topics (Jäger 2001). Mass Noun, Weak Numeral, Strong Determiner Bare Plural Determiner, or Quantifier or Quantifier quantization *EIS EIS EIS weak/strong *EIS *EIS EIS • Event composition accounts depend on the distinction being made around the presence of quantized/homogeneous objects. • Requiring Topics accounts depend on the distinction being made around the presence of weak/strong objects. 6 Kratzer & Selkirk (2007) also observe that the predicate in (8a) can be deaccented, whereas an accent on the predicate in (9a) is required. 6
  • 7. The End of Argument Structure?: Arguments and States • For telicity, the case is clear. Quantization of the object determines the telicity of the event. • However, the available data on EIS has only examined bare plural objects (homogeneous and weak) and demonstrative objects (quantized and strong). – These two cases cannot distinguish between Event Composition and Requiring Topics approaches. – Data on a wider range of object types is needed. QUESTION: What types of objects license/fail to license EIS? 3 Objects Effects Revisited Mass noun objects do not license EIS. (10) a. Monkeys live on land. (*EIS) b. Tycoons own silverware. (*EIS) Bare plural objects do not license EIS.7 (11) a. Monkeys live in trees. (*EIS) b. Tycoons own banks. (*EIS) Bare plural numerals can license EIS, though only marginally. (12) a. Monkeys live in three trees. (?EIS) b. Tycoons own two banks. (?EIS) Singular indefinites can license EIS, also marginally.8 (13) a. Monkeys live in a tree. (?EIS) b. Tycoons own a bank. (?EIS) 7 Even the addition of a context which strongly biases for EIS, such as those in (i), fails to license EIS for these sentences. (i) a. Monkey Context: “Behind my house is mangrove forest.” b. Tycoon Context: “In this city there are over 50 privately owned banks.” These contexts can also be used in other cases where the object’s referent is murky (e.g. (12) and (13)), although they are not appropriate for all cases. The role context plays in these examples may have broader implications. See Husband (2010) for more discussion. 8 The singular indefinite subject may sharpen the acceptability of EIS given a singular indefinite object. (i) a. A monkey lives in a tree. b. A tycoon owns a bank. 7
  • 8. The End of Argument Structure?: Husband Weak quantifiers can license EIS. (14) a. Monkeys live in several trees. (EIS) b. Tycoons own several banks. (EIS) (15) a. Monkeys live in many trees. (EIS) b. Tycoons own many banks. (EIS) Definites can license EIS. (16) a. Monkeys live in the trees. (EIS) b. Tycoons own the bank. (EIS) Demonstratives can license EIS. (17) a. Monkeys live in these trees. (EIS) b. Tycoons own this bank. (EIS) Strong quantifiers can license EIS. (18) a. Monkeys live in every tree. (EIS) b. Tycoons own every bank. (EIS) (19) a. Monkeys live in each tree. (EIS) b. Tycoons own each bank. (EIS) The following table groups and summarizes the data. Mass Noun/ Weak Determiners/ Weak-Strong Quantifiers/ Bare Plural Numerals Strong Determiners Bare Plural *EIS ?EIS EIS • Weak quantifiers, which cannot be topics but are quantized, license EIS. • Weak determiners and numerals, which cannot be topics but are quantized, can license EIS (although with more difficulty). → Evidence against weak/strong. → Evidence for quantization. 3.1 Interim Conclusion 1 The Event Composition approach better captures the availability of EIS. • Quantized objects license EIS. • Homogeneous objects fail to license EIS. 8
  • 9. The End of Argument Structure?: Arguments and States Telicity and EIS are licensed by the same types of objects. Mass Noun/ Weak Determiners/ Weak-Strong Quantifiers/ Bare Plural Numerals Strong Determiners Bare Plural *EIS ?EIS EIS Telicity *in X time in X time in X time 4 The Analysis GOALS • Capture the similarity between the conditions which license EIS and those which license telicity. • Explain how quantization originating with the object may license EIS. In two parts: i. First, I will argue that the VPs of state predicates are composed together using the same mechanisms which compose event predicate VPs. ii. Second, I will suggest that EIS arises from the part structure enforced on the subject. 4.1 The Composition of Stative VPs OBSERVATION: Telicity and EIS are both sensitive to the quantization of their objects. • PROPOSAL: Eventive VPs and stative VPs both compose in the same way, through the meaning of the accusative case, (20). – This captures the similarity between eventive and stative VPs. (20) JACCK = λRhe,hs,tiiλxλs[R(x)(s) & ∀x′ [x′ ≤ x → ∃s′ [s′ ≤ s & R(x′ )(s′ )]] | {z } Object-to-Event Mapping ] Example of a homogeneous stative VP (21) and a quantized stative VP (22). (21) Jown banksK = λs[own(s)(banks) & ∀x′[x′ ≤ banks → ∃s′[s′ ≤ s & own(s′)(x′)]]] (22) Jown this bankK = λs[own(s)(this-bank) & ∀x′[x′ ≤ this-bank → ∃s′[s′ ≤ s & own(s′)(x′)]]] 9
  • 10. The End of Argument Structure?: Husband 4.2 The Interpretation of Subjects 4.2.1 Making Sense of Part-Structure and EIS GOALS: Link the availability of EIS to the part-structure of states.9 • Ladusaw (1994) and McNally (1998) both discuss stage-level/individual- level predicates in terms of thetic/categorical judgments. – Stage-level predicates are thetic statements, i.e. statements “about” events. – Individual-level predicates are categorical statements, i.e. statements “about” individuals. However, states in general are taken to be “about” individuals (Higginbotham & Ramchand 1997; Ramchand 1997; Raposo & Uriagereka 1995). • My suggestion: Think about stage-level/individual-level states in terms of stages of individuals (Carlson 1977). – Stage-level states are statements “about” a stage of an individual. – Individual-level states are statements “about” all the stages of an indi- vidual. QUESTION: How does the part-structure of the VP relate to the stages of the subject? • When the VP is homogeneous (has a homogeneous object), the state applies to homogeneous stages of the subject. – As these stages compose the individual itself, no particular spatiotem- poral stage of the individual is individuated and EIS is blocked. • When the VP is quantized (has a quantized object), the state applies to only a quantized stage of the subject. – This quantized stage, as a particular spatiotemporal slice of the individ- ual, guarantees existence (McNally 1998). Under this conception, EIS is about the aspectual makeup of the individual. 9 This approach is somewhat akin to suggestions from Chierchia (1998) about using parts of individuals across worlds to understand genericity. 10
  • 11. The End of Argument Structure?: Arguments and States 4.2.2 The Mechanics QUESTION: How do we relate VP part-structure to the subject’s part-structure? • Kratzer (1996) introduce the external argument though a Voice head using Event Identification, given in (23). • The aktionsart of the eventuality variable selects for the thematic role of the external argument as a constraint on Event Identification. – Eventive eventualities select for an eventive Voice head (bearing the Agent relation). – Stative eventualities select for a stative Voice head (bearing the Holder relation). * Note: This distinguishes eventive and stative sentences. • SUGGESTION: In addition to specifying the external argument’s relation to the stative eventuality, the stative Voice head also enforces an Event-to-Object mapping as given in (24).10 – The Event-to-Object mapping makes the individual homogeneous whenever the part-structure of the state is homogeneous. – The Event-to-Object mapping makes the individual quantized whenever the part-structure of the state is quantized. (23) Event Identification: fhe,hs,tii ghs,ti → hhe,hs,tii λxλe[ f(x)(e)] λe[g(e)] → λxλe[f(x)(e) & g(e)] (24) JVoiceSK = λxλs[Holder(s)(x) & ∀s′ [s′ ≤ s → ∃x′ [x′ ≤ x & Holder(s′ )(x′ )]] | {z } Event-to-Object Mapping ] The external argument is introduced by Event Identification as in (25). 10 Evidence given in (i) suggests that a similar mapping appears to also be needed in events, although it is another Object-to-Event mapping as the part-structure of the subject affects the part-structure of the event, given in (ii). (i) a. Settlers crossed the desert for years. b. #The settlers crossed the desert for years. (ii) JVoiceEK = λxλs[Agent(e)(x) & ∀x′ [x′ ≤ x → ∃e′ [e′ ≤ e & Agent(e′ )(x′ )]] | {z } Object-to-Event Mapping ] 11
  • 12. The End of Argument Structure?: Husband (25) hs,ti DP he,hs,tii (by Event Identification) Voicehe,hs,tii hs,ti The following denotations including the external argument are given for a homoge- neous state (26) and a quantized state (27). (26) JTycoons own banksK = λs[Holder(s)(tycoons) & ∀s′[s′ ≤ s → ∃y′[y′ ≤ tycoons & Holder(s′)(x′)]] & own(s)(banks) & ∀x′[x′ ≤ banks → ∃s′[s′ ≤ s & own(s′)(x′)]]] (27) JTycoons own this bankK = λs[Holder(s)(tycoons) & ∀s′[s′ ≤ s → ∃y′[y′ ≤ tycoons & Holder(s′)(x′)]] & own(s)(this-bank) & ∀x′[x′ ≤ this-bank → ∃s′[s′ ≤ s & own(s′)(x′)]]] 4.2.3 Evidence for Voice in States Kratzer (1996) proposes that Voice preforms two functions. • Voice introduces the external argument, and... • Voice assigns accusative case to the object. She suggests that the presence of Voice can be detected in different types of nomi- nalizations. • In of-ing gerunds, -ing attaches to the verb, preventing assignment of ac- cusative case to the object and thus also blocking Voice as in (28). – The genitive DP may express “a general notion of relatedness of which the agent relation is but a special case” to the event, given in (30). • In poss-ing gerunds, -ing attaches to the VP. Accusative case is assigned to the object and Voice must project as in (29). – The genitive DP must express the agent relation to the event, given in (31). 12
  • 13. The End of Argument Structure?: Arguments and States (28) [DP Maria [ ’s [NP [NP -ing read ] [PP of Pride and Prejudice ] ] ] ] (29) [DP Mariai [ ’s [NP -ing [VoiceP ti [ Voice [VP read [DP Pride and Prejudice ] ] ] ] ] ] ] (30) We remember Maria’s reading of Pride and Prejudice. a. Maria is the Agent of the reading Pride and Prejudice event. b. Maria is only related to the reading Pride and Prejudice event. (31) We remember Maria’s reading Pride and Prejudice. a. Maria is the Agent of the reading Pride and Prejudice event. b. *Maria is only related to the reading Pride and Prejudice event. QUESTION: Can we use the same test to detect the presence of Voice in statives?11 • The genitive DP may express a general notion of relatedness to the state, given in (32). • The genitive DP must express the holder relation to the state, given in (33). (32) Glenn Beck’s hating of Obama was contagious. a. Glenn Beck is the Holder of the hating Obama state. b. Glenn Beck is only related to the hating Obama state. (33) Glenn Beck’s hating Obama was contagious. a. Glenn Beck is the Holder of the hating Obama state. b. *Glenn Beck is only related to the hating Obama state. Two further predictions arise from the hypothesis that Voice is the locus of EIS. • By assigning accusative case to their objects, poss-ing gerunds should alter- nate in the availability of EIS given their object. • By not assigning accusative case to their objects, of-ing gerunds should not alternate in the availability of EIS given their object. – Furthermore, the subjects of of-ing gerunds, lacking Voice, should be unable to license EIS. 11 The context given in (i) can be used to support a reading where Glenn Beck is only related to the hating Obama state. (i) We all know that sometimes political pundits fake their personal feelings when speaking to their base. You know, anything for the rating! 13
  • 14. The End of Argument Structure?: Husband To the extent these judgments are clear, all are born out.12 (34) a. News anchors’ hating these politicians was contagious. (EIS) b. News anchors’ hating politicians was contagious. (*EIS) (35) a. News anchors’ hating of these politicians was contagious. (*EIS) b. News anchors’ hating of politicians was contagious. (*EIS) 4.3 Interim Conclusion 2 • EIS is a matter of aspect, i.e. the internal temporal make up of an individual; that is, the stages of an individual. • Predicates are always predicating of stages of individuals. – Homogeneous predicates apply to homogeneous stages of the subject. – Quantized predicates apply to a quantized stage of the subject. 5 Extensions 5.1 Lifetime Effects Musan (1995, 1997) and others (Percus 1997; Maienborn 2004; Magri 2006) have proposed that lifetime effects are pragmatic. • Musan (1997), for instance, captures lifetime effects through a conversational implicature. – Predicates in the past tense assert that a situation is over. – Individual-level predicates hold throughout an individual’s lifetime, (37a). – The implicature: If the subject was still alive, it would be more infor- mative to use the present tense; therefore, the subject is dead, (37b). (36) Gregory was from America. Gregory is dead. 12 Many thanks to E.T. Cunningham for her clear judgments on these data. 14
  • 15. The End of Argument Structure?: Arguments and States (37) a. Jbe from AmericaKc = the function f : Di → Dhe,ti, such that, for any t ∈ Di, f(t) = the partial function g : D → 0,1, such that, for any x ∈ D, x is the domain of g iff x is alive at t, and for any x in the domain of g, g(x) = 1 iff x is from America at t. b. Since being from America is a property that, if it holds of an individual at all, holds of that individual over its entire lifetime, and since the speaker has implicated that Gregory’s beings from America is over, the speaker has implicated furthermore that Gregory is dead. QUESTION: How does one know when a predicate is individual-level, especially given object effects? • SUGGESTION: Lifetime effects are derived from the quantization of predi- cate. • Homogeneous predicates apply to homogeneous stages of the subject, i.e. the individual itself. – Lifetime effects arise because all of the stages of the individual are put in the past. • Quantized predicates apply to a quantized stage of the subject, i.e. a stage of the individual. – Lifetime effects do not arise because only some stage of the individual is put in the past. Evidence: The lifetime effect is much weaker in (38b) compared to (38a). (38) a. John owned banks. John is dead. b. John owned this bank. 6 John is dead. 5.2 Temporal Modification Percus (1997) notes that not all temporal modification is ruled out for individual-level predicates. (39) a. #John was tall yesterday. b. John was tall in his adulthood. He argues that out-of-the-blue utterances are evaluated with respect to our world knowledge (world knowledge forms the basic context), and that part of our world knowledge is whether a property tends to be stable from one time point to another. (40) P is tendentially stable iff ∀s1,s2 ∈ Wd,x [P(s1)(x) = 1 & s2 follows s1 temporally & P(s2)(x) is defined] → P(s2)(x) = 1 15
  • 16. The End of Argument Structure?: Husband • Properties which tend to not change from one situation to the next, i.e. those which tend to be stable over time (40), are not acceptable with temporal modifiers... – Unless a sufficient context is available which suspends their temporal stability.13 – Or the temporal modifier itself establishes a period of time compatible with our world knowledge. QUESTION: How do we know that a predicate is tendentially stable, again, especially given object effects? • SUGGESTION: Stability may ride on the part-structure of the state, i.e. can be determined in part by the semantics. • Properties which tend to be stable (individual-level states) are homogeneous states. – The temporal contour of a homogeneous state is open-ended and ex- tends indefinitely. – Only temporal modifiers which can encompass open ended temporal extents can modify homogeneous states. • Properties which are do not tend to be stable (stage-level states) are quantized states. – A quantized state may have multiple distinct instances, which are not open-ended and can come and go. – The range of temporal modifiers is much wider for quantized states. Evidence: Modification by yesterday is improved in (41b) compared to (41a). (41) a. #John owned banks yesterday. b. John owned this bank yesterday. 6 Conclusions • States, like events, are sensitive to the types of their objects. – Some evidence against requiring topics accounts for the availability of EIS. 13 Again, the role of context crops up concerning the interpretation of stative predicates. See Husband (2010) for further discussion. 16
  • 17. The End of Argument Structure?: Arguments and States – The distinction which makes the right cut is quantization of objects. – An event composition account can be extended to include both events and states, unifying the treatment of the domain of eventualities. • EIS is an aspectual issue. – Stative predicates apply to stages of individuals. – The part-structure of the subject is inherited from the quantization of the state. – EIS is derived from the part-structure of the individual. * Homogeneous stative predicates apply to all the stages of the individual. * Quantized stative predicates apply to a stage of the individual, ensuring existence. • Quantization derives some of the temporal behaviors of individuals in stage- level/individual-level states. A Licensing EIS by Locatives Another hallmark of stage-level/individual-level states is their compatibility with locative modifiers (Carlson 1977; Kratzer 1988/1995). (42) a. Stage-level: John is available in the next room. b. Individual-level: #John is altruistic in the next room. • We would expect a predicate’s compatibility with locative modifiers to be sensitive to the type of object. .. • But, locative modifiers are acceptable with these predicates. – When present they license EIS, even when the object does not!, (43b). (43) a. Tycoons own this house near here. (EIS) b. Tycoons own houses near here. (EIS) Jäger (2001) and Kratzer & Selkirk (2007), operating under a Requiring Topics approach, propose that a silent locative or temporal pronoun could function as a topic. • Stage-level predicates are compatible with locative modification. 17
  • 18. The End of Argument Structure?: Husband • Individual-level predicates are incompatible with locative modification. (44) a. Ich I hab’ have geträumt, dreamed dass that (dann) (then) der the Rhein Rhine ausgetrocknet dried.up ist. is ‘I dreamt that the Rhine dried up (then).’ (EIS) b. [CP [TopicP pro/dann [TP [vP [VP der Rhine ausgetrocknet ist ] v ] T ] Topic ] ] Two possibilities: • Possibility 1: There is a second route to EIS: Silent/overt locatives may license EIS. – Note: the silent locative requires a particular stage of an individual, i.e. it localizes the individual (McNally 1998). • Possibility 2: Locatives, silent or overt, change the aspectual character of the predicate. – Prepositions (and other categories) also influence aspect and may be part of aspectual composition (Winter 2006; Zwarts 2005). B Licensing EIS through Discourse Context Glasbey (1997) argues that discourse context may license EIS. • EIS is unlicensed in (45), but the addition of discourse context allows EIS in (46).14 (45) Drinkers were under-age. (*EIS) (46) John was shocked by his visit to the Red Lion. Drinkers were under-age, drugs were on sale, and a number of fights broke out while he was there. OBSERVATION: (46) includes not only discourse context, but also an explicit loca- tive, there (Jäger 2001; Kratzer & Selkirk 2007). 14 Glasbey (1997) does not provide judgments for the other predicates conjoined in (46). I find these acceptable with EIS, presumably due to past tense and the eventive predicate break out. (i) a. Drugs were on sale. (EIS) b. Fights broke out. (EIS) 18
  • 19. The End of Argument Structure?: Arguments and States • (47) corrects for the locative (and the tense), and EIS appears to still be available (though the judgments here are far more questionable). (47) The inspector was impressed on his visit to the Green Door and indicated so to the owner. ”You’re doing a good job enforcing the age-limit. Drinkers are over 21 years old.” INTUITION: To the extent that EIS is licensed in (47), the discourse makes a location accessible. • SUGGESTION: Discourse context may be used to license silent locatives (see Appendix A). • Even for those predicates whose subjects Kratzer & Selkirk (2007) argues must be topics, discourse context may license EIS. – These seem to be the same places where an overt locative can be used. (48) Mark visited the mental health hospital today and he told me, “Mental health patients are crazy (there)!” • Note: Contexts do not license EIS for those predicates with homogeneous objects. See (10) and (11) and ft. 7. Ultimately, we may need to use other related phenomena (such as Kratzer & Selkirk’s (2007) observations about phrasal stress) to determiner the presence of a silent locative. References Borer, Hagit. 2005a. In name only. Oxford: Oxford University Press. Borer, Hagit. 2005b. The normal course of events. Oxford: Oxford University Press. Carlson, Gregory N. 1977. Reference to kinds in English. Ph.D. thesis, University of Massachusetts, Amherst. Chierchia, Gennaro. 1998. Reference to kinds across language. Natural language semantics 6(4). 339–405. Dowty, David R. 1979. Word meaning and Montague grammar: The semantics of verbs and times in generative semantics and in Montague’s PTQ. Springer. Fernald, Theodore B. 1994. On the nonuniformity of the individual- and stage-level effects. Ph.D. thesis, University of California, Santa Cruz. Fernald, Theodore B. 2000. Predicates and temporal arguments. Oxford: Oxford University Press. Glasbey, Sheila. 1997. I-level predicates that allow existential readings for bare plurals. In A. Larson (ed.), Proceedings of Semantics and Linguistic Theory VII, 169–179. Cornell University, Ithica, NY. 19
  • 20. The End of Argument Structure?: Husband Higginbotham, James & Gillian Ramchand. 1997. The stage-level/individual-level distinction and the mapping hypothesis. In Oxford university working papers in linguistics, philology and phonetics, vol. 2, 53–83. Husband, E. Matthew. 2010. On the compositional nature of stativity. Ph.D. thesis, Michigan State University. Jäger, Gerhard. 2001. Topic-comment structure and the contrast between stage level and individual level predicates. Journal of Semantics 18. 83–126. Kratzer, Angelica. 1988/1995. Stage-level/individual-level predicates. In G.N. Carlson & F.J. Pelletier (eds.), The generic book, 125–175. University of Chicago Press. Kratzer, Angelica. 1996. Severing the external argument from its verb. In J. Rooryck & L. Zaring (eds.), Phrase structure and the lexicon, 109–137. Dordrecht, Kluwer. Kratzer, Angelica. 2004. Telicity and the meaning of objective case. In J. Guéron & J. Lecarme (eds.), The syntax of time, 389–424. The MIT Press. Kratzer, Angelica & Elisabeth Selkirk. 2007. Phase theory and prosodic spellout: The case of verbs. The Linguistic Review 24(2-3). 93–135. Krifka, Manfred. 1998. The origins of telicity. In S. Rothstein (ed.), Events and grammar, 197–235. Kluwer Academic Publishers. Ladusaw, William A. 1994. Thetic and categorical, stage and individual, weak and strong. In M. Harvey & L. Santelmann (eds.), Proceedings of semantics and linguistic theory iv, 220–229. Ithaca, NY. Magri, Giorgio. 2006. The blindness hypothesis and individual level predicates. In Proceedings of semantics and linguistic theory xvi. CLC Publications, Cornell University, Ithaca. Maienborn, Claudia. 2004. A pragmatic explanation of the stage level/individual level contrast in combination with locatives. In B. Agbayani, V. Samiian & B. Tucker (eds.), Proceedings of the western conference on linguistics, vol. 15, 158–179. Fresno: CSU. McNally, Louise. 1998. Stativity and theticity. In S. Rothstein (ed.), Events and grammar, 293–307. Kluwer Academic Publishers. Musan, Renate. 1995. On the temporal interpretation of noun phrases. Ph.D. thesis, MIT. Musan, Renate. 1997. Tense, predicates, and lifetime effects. Natural Language Semantics 5(3). 271–301. Percus, Orion J. 1997. Aspects of a. Ph.D. thesis, MIT. Ramchand, Gillian. 1997. Aspect and predication: The semantics of argument structure. Oxford University Press. Raposo, Eduardo & Juan Uriagereka. 1995. Two types of small clauses (Toward a syntax of theme/rheme relations). In A. Cardinaletti & M. Guasti (eds.), Syntax and semantics: Small clauses, vol. 28, 179–206. San Diego, CA: Academic Press. Rosen, Sara T. 1999. The syntactic representation of linguistic events. Glot International 4(2). 3–11. Vendler, Zeno. 1957. Verbs and times. Philosophical Review 66(2). 143–160. Verkuyl, Henk J. 1972. The compositional nature of the aspects, vol. 15, Foundations of Language Supplementary Series. Dordrecht: Reidel. Winter, Yoad. 2006. Closure and telicity across categories. In Proceedings of Semantics and Linguistic Theory XVI. Zwarts, Joost. 2005. Prepositional aspect and the algebra of paths. Linguistics and Philosophy 28(6). 739–779. 20