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Tense & Aspecthttp://www-rohan.sdsu.edu/~gawron/semantics
Parsing intro
Jean Mark Gawron
San Diego State University, Department of Linguistics
2010-08-19
Jean Mark Gawron ( SDSU ) Gawron: Tense & Aspect 2010-08-19 1 / 20
Overview
1 Introduction
2 Reichenbach
3 Familiarity analysis of tense
4 Revisiting issues
Jean Mark Gawron ( SDSU ) Gawron: Tense & Aspect 2010-08-19 2 / 20
Outline
1 Introduction
2 Reichenbach
3 Familiarity analysis of tense
4 Revisiting issues
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Tense
past-
event
Sue goes to Boston
〈time interval of event〉
future
now
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Outline
1 Introduction
2 Reichenbach
3 Familiarity analysis of tense
4 Revisiting issues
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Reichenbach
Reference Time (R): A time established in the discourse or in thecurrent sentence. A particular moment in time which may be past,present, or future.
Reference time
When John arrivedR, I was sleeping.
Event Time (E): The time of the event being described.
Speech Time (S): The time of utterance (now)
Jean Mark Gawron ( SDSU ) Gawron: Tense & Aspect 2010-08-19 6 / 20
Reichenbach past,present,future
The Reichenbach analysis of past, present, and future tense is not reallysaying anything new. E and R are always the same time. The relationshipof R and S depends on the tense.
Tense
Past E,R S R precedes S; E=RPresent E,R,S R overlaps S; E=RFuture S E,R R follows S; E=R
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The English Perfect
The analysis of the composite tenses is where Reichenbach’s analysis getsinteresting. In a perfect, E always precedes R, and never overlaps with it.The analysis of tense remains the same.
Composite tense Example
Past Perfect I had seen John.Present Perfect I have seen John.Future Perfect I will have seen John.
Reichenbach
Composite Reichenbach Perfect Tense
Past Perfect E R S E precedes R R precedes SPresent Perfect E R,S E precedes R R = SFuture Perfect S E R E precedes R R follows S
S,E RE S R
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Compositionality
Perfect
Composite Reichenbach Perfect Tense
Past Perfect E R S E < R R < SPresent Perfect E R,S E < R R = SFuture Perfect S E R E < R R > S
S,E RE S R
Notice the compositionality of Reichenbach’s analysis of the perfect. Theperfect/simple aspect contrast has a meaning and each tense has ameaning. The resulting meaning is the sum of those meanings. Tense tellsus the relation of R and S (not E and S!); Perfect/non-perfect tells useither E precedes R (perfect) 0r E = R (simple).
Jean Mark Gawron ( SDSU ) Gawron: Tense & Aspect 2010-08-19 9 / 20
Temporal Frame adverbials
This is where Reichenbach’s analysis makes predictions. Temporal frameadverbials modify time R (not time E!)(a) I saw Jones yesterdayR. R = E E < S(b) * I have seen Jones yesterdayR. R = S E < S(c) I saw Jones todayR. R = E E < S(d) I have seen Jones todayR. R = S E < S
Jean Mark Gawron ( SDSU ) Gawron: Tense & Aspect 2010-08-19 10 / 20
Outline
1 Introduction
2 Reichenbach
3 Familiarity analysis of tense
4 Revisiting issues
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Definiteness/indefiniteness
Familiarity:
(a) A dog came in. A dog laid down.(b) A dog came in. The dog laid down.
Familiarity applied to simple vs perfect tenses:
Simple The event time is a familiar timePerfect The event time is not a familiar time.
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Examples
(a) What did you do after dinner?# I have watched the news.
(b) What did you do after dinner?I watched the news.
(a) (When you were in New York,) did you see Cats?# I have seen Cats.Yes, I saw Cats (when I was in New York).No, but I’ve seen it since.
(b) Tom didn’t read Moby Dick.Tom hasn’t read Moby Dick.
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Consequences for Tense operators
I didn’t turn off the stove. (Partee 1973)
Two possible analyses:Specific ∃t < t∗ ∼ [turn-off(i, the stove) at t ]NonSpecific ∼ ∃t < t ∗ [turn-off(i, the stove) at t ]
Specific True iff at ANY past time t: I didnt turn off the stove at t TNonSpecific True iff at NO past time t: I turned off the stove at t T
Uh Oh! Both are wrong!
Familiarity ∼ [turn-off(i, the stove) at t ]True iff I didn’t turned off the stove at t Just right!
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Free vs. Existentially quantifiedVariables are like pronouns. Their values depend on context.John thinks he is smart. he can be John or someone else.
think(j , smart(x))Every semanticist thinks he issmart.
∀x [semanticist(x) → think(x , smart(y))
Contrast I didn’t turn off the stove (free) versus John is unmarried(existentially quantified).
Right ∼ [turn-off(i, the stove) at t ] I didnt turn off the stove at t, atime in context.
Wrong ∼ ∃t[turn-off(i, the stove) at t ] There is no time at which Iturned off the stove.
Right ∼ ∃x [marry(j, x)] There is no one John married.Wrong ∼ [marry(j, x)] John did not marry x , someone
in context.
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Outline
1 Introduction
2 Reichenbach
3 Familiarity analysis of tense
4 Revisiting issues
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Homework problem revisited
Familiarity analysis of past tense → non-familiarity analysis of perfect
1 I haven’t turned off the stove.
2 I haven’t seen your dog.
3 I haven’t seen the Grand Canyon
4 I haven’t had breakfast.
5 I haven’t had chicken pox.
For example, is the following the right analysis of (1)?
∼ ∃t[turn-off(i, the stove) at t ]
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Reichenbach revisited
Can we make the Reichenbach analysis compatible with the familiarityanalysis?
Reference Time (R): Atime established in thediscourse or in the currentsentence. A particularmoment in time.
Event Time (E): Time ofthe described event.
Speech Time (S): Time ofutterance (now)
Simple
Past E,R S E < SPresent E,R,S E = SFuture S E,R S < E
Perfect
Reichenbach Perfect Tense
Past E R S E < R R < SPresent E R,S E < R R = SFuture S E R E < R R = S
S,E RE S R
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Reichenbach logical formAssuming the Reichbach analysis, what is the logical form of the following?
(a) I haven’t turned off the stove.(b) I didnt turn off the stove
Assume E is always existentially quantified. Assume R and S are freevariables whose values are determined by context.
Jean Mark Gawron ( SDSU ) Gawron: Tense & Aspect 2010-08-19 19 / 20
Reichenbach logical formAssuming the Reichbach analysis, what is the logical form of the following?
(a) I haven’t turned off the stove.(b) I didnt turn off the stove
Assume E is always existentially quantified. Assume R and S are freevariables whose values are determined by context. Hint 1: Assume thefollowing is PART of the answer:
∼ ∃E turn-off(i, the stove at E)
So the task is to figure out how to add R and S to the above formula intwo different ways to capture the difference between (a) and (b).
Jean Mark Gawron ( SDSU ) Gawron: Tense & Aspect 2010-08-19 19 / 20
Reichenbach logical formAssuming the Reichbach analysis, what is the logical form of the following?
(a) I haven’t turned off the stove.(b) I didnt turn off the stove
Assume E is always existentially quantified. Assume R and S are freevariables whose values are determined by context. Hint 1: Assume thefollowing is PART of the answer:
∼ ∃E turn-off(i, the stove at E)
So the task is to figure out how to add R and S to the above formula intwo different ways to capture the difference between (a) and (b).
Hint 2:Tense Perfect/Simple
SimplePerfect
Note: In this chapter E, R, and S stand for times. In Chapter 9 (whichintroduces Davidson’s analysis), E stands for an event.
Jean Mark Gawron ( SDSU ) Gawron: Tense & Aspect 2010-08-19 19 / 20
Reichenbach logical formAssuming the Reichbach analysis, what is the logical form of the following?
(a) I haven’t turned off the stove.(b) I didnt turn off the stove
Assume E is always existentially quantified. Assume R and S are freevariables whose values are determined by context. Hint 1: Assume thefollowing is PART of the answer:
∼ ∃E turn-off(i, the stove at E)
So the task is to figure out how to add R and S to the above formula intwo different ways to capture the difference between (a) and (b).
Hint 2:Tense Perfect/Simple
Simple R < S E = RPerfect
Note: In this chapter E, R, and S stand for times. In Chapter 9 (whichintroduces Davidson’s analysis), E stands for an event.
Jean Mark Gawron ( SDSU ) Gawron: Tense & Aspect 2010-08-19 19 / 20
Reichenbach logical formAssuming the Reichbach analysis, what is the logical form of the following?
(a) I haven’t turned off the stove.(b) I didnt turn off the stove
Assume E is always existentially quantified. Assume R and S are freevariables whose values are determined by context. Hint 1: Assume thefollowing is PART of the answer:
∼ ∃E turn-off(i, the stove at E)
So the task is to figure out how to add R and S to the above formula intwo different ways to capture the difference between (a) and (b).
Hint 2:Tense Perfect/Simple
Simple R < S E = RPerfect R = S E < R
Note: In this chapter E, R, and S stand for times. In Chapter 9 (whichintroduces Davidson’s analysis), E stands for an event.
Jean Mark Gawron ( SDSU ) Gawron: Tense & Aspect 2010-08-19 19 / 20
Problems for Reichenbach: R is a familiar time
(a) Tom gotE1 there by noon, but Molly hadleftE2 at 5:30.
at 5:30 modifies E2not E1 (=R)
(b) That evening the campers had alreadyleftE.
That evening modifiesR, not E
Two kinds of perfect
(a) Tense perfect: A problem for Reichenbach(b) Aspectual perfect: As predicted
(a) The car can’t getE1 to the station until3 but Leda will have arrivedE2 at noon,so she’ll have to wait.
at noon modifies E2not E1 (=R)
(b) Leda will have left at 10, so you will haveto come at 9 if you want to see her.
at 10 modifies R, notE
Jean Mark Gawron ( SDSU ) Gawron: Tense & Aspect 2010-08-19 20 / 20