October18,2016–ManchesterCIDRALPublicLecture · 2016-10-18 ·...

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If

Kai von Fintel (MIT)October 18, 2016 – Manchester CIDRAL Public Lecture

I am a semanticist. I work on meaning.

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“That’s just semantics!”

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1. Possible Worlds Semantics2. Conditional Sentences3. If-less Conditionals

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(1) A former meerkat expert at London Zoo has been orderedto pay compensation to a monkey handler she attackedwith a wine glass in a love spat over a llama-keeper.

[Associated Press, Oct. 14, 2015]

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The sentence “A former meerkat expert at London Zoo hasbeen ordered to pay compensation to a monkey handler sheattacked with a wine glass in a love spat over a llama-keeper.”

is true if

a former meerkat expert at London Zoo has been ordered topay compensation to a monkey handler she attacked with awine glass in a love spat over a llama-keeper.

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Meanings of sentences

- describe the world- distinguish between ways the world may be, matchingsome of them, not matching others

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“Ways the world may be” = possible worlds

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Assertions make claims about what the world is like.

Questions ask what the world is like.

Commands order changes in what the world is like.

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There are many ways the world may be.

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Language is a precision instrument to distinguish betweenmany possible ways the world may be.

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Our job as semanticists:

Reverse engineer this precision instrument.

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Meanings come about through a combination of

- individual elements of meaning- the hierarchical syntactic structure they occur in- principles of meaning composition- inferences about the situation an expression is used in- …

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Semantics is at the nexus of

- linguistics- philosophy- psychology/cognitive science- computer science

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Two (or three) kinds of elements of meaning:

- content words (chair, love, ponder, incandescent, …)- “function”/logical words (the, most, and, if )

- and maybe: structural configurations.

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Oh, those big little words!

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After cataloguing various ‘ improper’ senses of only, Ockhamremarks that

These are the senses, then, in which the exclusiveexpression can be taken improperly. And perhapsthere are still other senses in which it can be takenimproperly. But since they are not as widely used asthe ones we have dealt with, I will leave them to thespecialists.

“A glorious picture indeed: monasteries crammed to the spireswith specialists on only, laboring away on the fine points ofthe semantics of exclusive propositions. Those were the days!”(Larry Horn)

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So, with the throttling hands of death at strife,Ground he at grammar;Still, thro’ the rattle, parts of speech were rife:While he could stammerHe settled οτι’s business — let it be! —Properly based ουν —Gave us the doctrine of the enclitic δε,Dead from the waist down.

Robert Browning: “A Grammarian’s Funeral”

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…in this chapter we shall consider the word “the” inthe singular, and in the next chapter we shall considerthe word “the” in the plural. It may be thoughtexcessive to devote two chapters to one word, but tothe philosophical mathematician it is a word of verygreat importances: like Browning’s grammarian withthe enclitic δε, I would give the doctrine of this word ifI were “dead from the waist down” and not merely inprison.

Bertrand Russell: 1919, Introduction to MathematicalPhilosophy

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The word “if”, just two tiny lettersSays so much for something so smallThe biggest little word in existence;Never answers, just questions us all

If regrets were gold, I’d be rich as a queenIf teardrops were diamonds, how my face would gleamIf I’d loved you better, I wouldn’t be lonelyIf only, if only, if only

Dolly Parton, If Only

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If

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(2) If it had rained, I would have used an umbrella.

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- the if-clause sets up a hypothetical scenario- the consequent is used to characterize the scenario

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The world as it would have been like if it had rainedis a world where I used an umbrella.

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if p takes us to the world that is just like the actual world in allrespects other than that p is true (and whatever is needed tomake p true)

the consequent q is then used to describe the world that if ptook us to

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1.3 Variably Strict Conditionals

(A) VACUOUS TRUTH

(B) NON-VACUOUS TRUTH

(C) FALSITY- - OPPOSITE TRUE

(D) FALSITY - - OPPOSITE FALSE

FIGURE 3

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(3) If Caesar had fought the Korean War, he would have usedcatapults.

vs.

(4) If Caesar had fought the Korean War, he would have usednuclear weapons.

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http://youtube.com/watch?v=0lpY0Kt4bn8

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(5) If kangaroos had no tails, they would topple over.

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What use are claims about other possible worlds?

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(6) If there was an earthquake tomorrow, this house wouldcollapse.

In a world just like ours (where the house is built the sameway, the same laws of physics apply, …) but where there is anearthquake, this house collapses.

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(6) If there was an earthquake tomorrow, this house wouldcollapse.

In a world just like ours (where the house is built the sameway, the same laws of physics apply, …) but where there is anearthquake, this house collapses.

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There are many kinds of conditionals, with subtle (or not sosubtle) differences in meaning.

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Prediction vs. Deduction:

(7) If Alex leaves before rush hour, she will be in the office ontime.

(8) If Alex is in the office, she left before rush hour.

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Open possibility vs. Counterfactual:

(9) If Alex leaves before rush hour, she will be in the office ontime.

(10) If Alex had left before rush hour, she would have been inthe office on time.

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Factual Conditionals:

(11) If you’re so smart, why are you at this boring lecture?

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Biscuit Conditionals:

(12) If Alex is hungry, there are granola bars in the car.

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Is it all about if?

In a world where there’s no if, could we express conditionalthoughts?

Are we just lucky to have “invented” if?

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Evans & Levinson:

Consider that instead of saying, “If the dog barks, thepostman may run away,” we could say: “The dog mightbark. The postman might run away.” In the formercase we have syntactic embedding. In the latter thesame message is conveyed, but the “embedding” is inthe discourse understanding – the semantics and thepragmatics, not the syntax. It is because pragmaticinference can deliver embedded understandings ofnon-embedded clauses that languages often differ inwhat syntactic embeddings they allow. For example,in Guugu Yimithirr there is no overt conditional – andconditionals are expressed in the way just outlined.

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(13) Alex might leave before rush hour. He would get there ontime.

(14) Alex might get hungry. There’s granola bars in the car.

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(15) Alex goes in there, he’ll get shot.

(16) Alex is in his office, he left early.

(17) You’re so smart, why don’t you do this yourself?

(18) You’re hungry, there’s pizza.

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(19) No pain, no gain.

(20) No shoes, no shirt, no service.

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(21) No shirt, no shoes, no problem.

(22) No shirt, no shoes, full service.

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(23) Shirt (and) shoes, service.

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So, we can express conditionals simply by juxtaposingantecedent and consequent.

Connecting two propositions into a conditional meaning is oneof the very few fundamental ways of connecting propositions.

And it’s the only one where the two propositions aren’t bothclaimed to be true of the actual world.

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(24) Louie sees you with the loot and he puts out a contracton you.

(25) You drink one more can of beer and I’m out of here.

(26) One more can of beer and I’m out of here.

(27) Ignore your homework and you will fail this class.

(28) You only have to look at him and he shies away in fear.

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Greek

(29) Othe

skilosdog

mumy

akuihears

keravnusthunder

keand

krivetehides

kato apounder

tothe

trapezitable

‘My dog hears thunder and hides under the table’

(30) EnaOne

lathosmistake

akomamore

keand

thawill

seyou

apolisofire

‘One more mistake and I will fire you’

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Palestinian Arabic

(31) Bet-talla’b-look.3sgm

fee-hain-her

wand

be-hmarrb-redden3sgm

wejh-oface-his

‘He looks at her and his face reddens’

(32) KamaanAnother

ghaltahmistake

wand

betorr-o-okb-fire.3-pl-you

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French

(33) ilhe

voitsees

sonhis

patronboss

etand

ilhe

s’enervegets nervous

(34) uneone

bierebeer

de plusmore

etand

nouswe

vousyou

expulseronsfire

‘One more beer and we will fire you’

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Albanian

(35) Mesuesi e-cl shikonThe teacher looks at him

dheand

aihe

fshihethides

nenunder

tavolinetable-the

(36) njeone

gabimmistake

dheand

dofut

te teyou

pushojfire

(nga(from

puna)work)

‘One mistake and I will fire you’

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Turkish (also Bangla, Hindi)

(37) *kadIn-lar-awoman-pl-dat

gülümse-mesmile

-si-‘ ing’-3.sg.poss

yetersufficient

veand

hemenimmediately

kendisinhe (logophoric pronoun, 3.sg)

-e-dat

tutcapture

-ul-(impers.) pass

-ur--aor

lar-3.pl.

int.: ‘It’s enough for him to smile at women and theyimmediately fall for him’

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(38) ??/*Birone

hatamistake

dahamore

veand

senyou (sg.)

-i-acc

iSwork

-in-2.sg.poss

-den-abl.

atthrow

-ar-aor.

-Im-1.sg

‘one more mistake and I’ll fire you from your job’

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(39) John is not here and he’s at home.̸= (If ) John’s not here, he’s at home.

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(40) a. One more can and I would have fired you.

b. *You had drunk one more can and I would have firedyou.

c. *Drink one more can and I would have fired you.

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(41) a. One more can and I would have fired you.

b. *You had drunk one more can and I would have firedyou.

c. *Drink one more can and I would have fired you.

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(42) ??You’re so smart and you should do it yourself.

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(43) !!You’re hungry and there’s biscuits on the sideboard.

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Finally, the type of sentence we’ve recently worked on:

(44) Drink one more can and I am out of here.

This has a conditional meaning. It’s a conjunction of animperative and a declarative consequent (IaD).

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Greek:

(45) FaeEat.IMP

enaone

apofrom

aftathese

keand

thaFUT

pethanisdie

mesa sewithin

2424

oreshours

‘Eat one of these and you will die within 24 hours’

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Palestinian Arabic:

(46) Ilmis-hatouchIMP-it

wand

b-tindamb-regret.2sgm

toolall

‘omr-aklife-your

‘Touch it and you will regret it the rest of your life’

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French:

(47) ignoreignore

tesyour

devoirshomework

etand

tuyou

échouerasfail-FUT

‘Ignore your homework and you will fail’

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Albanian:

(48) hajeeat

ketethis

dheand

doyou

tewill

vdeseshdie

brendawithin

2424

oreshhours

‘Eat this and you will die within 24 hours’

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Same exception: Turkish

(49) ??/*Cokmuch

CalISwork (imp.)

veand

baSarI-lIsuccess-with

ol-urbe-aor

-sun!-2.sg

‘Study hard and you’ll succeed’

(50) ??/*Evhome

Odev-inwork-2.sg.poss

-i-acc.

unutforget (imp.)

veand

baSarIsuccess

-sIz-without

ol-ur-sun!be-aor.-2.sg

‘Ignore your homework and you will fail’

Again, Bangla and Hindi work like Turkish: no IaDs!

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Our conclusions:

• Imperatives don’t directly contribute commands as theirmeaning.

• Their meaning is more minimal (kind of as minimal as onemore beer).

• The conditional thought pattern can use imperatives asantecedents.

• The command (and other) meanings of the imperative onits own arises from the way its meaning interacts with amodel of the goals of conversations. (But that’s a story foranother day.)

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• Conditionals are a pattern at the very core of grammar.• If … then is just one convenient way of expressing thepattern, but there are many others.

• Possible worlds semantics is the best framework forthinking about the meanings of conditional sentences.

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The logic of ordinary speech provides a field ofintellectual study unsurpassed in richness,complexity, and the power to absorb.

(P.F. Strawson)

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http://kvf.me/cidral

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