Focus association into copies and the scope of even
Explaining backwards association with even
English VP-even can associate with material outside of its scope:(1) A [professor]F will even come to the party. (based on Jackendoff 1972)(2) [John]F, they even consider
intelligent.
(Kayne 1998, fn 75)

Background: even in DE contexts

Scope Theory doesn’t explain backwards association

The scalar inference of even is reversed in downward-entailing(DE) contexts. Two dominant approaches:

We might imagine the Scope Theory (5a) would be useful forbackwards association with even, but it would overgenerate.

(5) a. The Scope Theory:
Even takes scope outside of the DE operator at LF(6) No student {seems / wants} to even read [Aspects]F (anymore).
⇝ Aspects is the most likely to be read.
Scope Theory predicts even is above DE operator at LF:
EVEN ( no student {seems / wants} to read [Aspects]F )(7) No [student]F {✓seems / *wants} to even be at the party.

(Karttunen and Peters, 1979; Wilkinson, 1996; Nakanishi, 2012, a.o.)

When even associates with a constituent outside of its
surface scope, it is actually associating with a lower copyof the focused constituent, within the scope of even.

Michael Yoshitaka ERLEWINE
National University of Singapore

b. Lexical ambiguity theory:
There are PPI and NPI evens which introduce reverse
scalar inferences (Rooth, 1985), and are lexicallydistinguished in some languages.

The Scope Theory predicts the focus student to be in the scope ofeven at LF, and predicts no raising vs control contrast in (3) or (7).

Support from a raising (seem) vs control (want) contrast:(3) A [professor]F {✓seems / *wants} to even be at the party.

Even, ACD, and the Scope Theory

See Erlewine (2014) for arguments against a forced reconstruction approach.

Computing even in example (1):Nakanishi (2012) presents an argument for the Scope Theory
from Antecedent-Contained Deletion. Different ellipsis in (8)require QR of the DP to different heights (Sag 1976, Fox 2002):

The Copy Theory proposal here defuses Nakanishi’s (2012)
argument. A copy of the focused box will be in the surface
scope of even in (9), while resolving the ACD as intended.

I adopt the Copy Theory of movement, with F-marking subject
to copying. At LF, the lower copy is interpreted as a definite
description bound variable following Trace Conversion (4b).

(8) Bill [VP1 failed to [VP2 lift [DP the box that Mary did △]]].
a. △ = “lift”: Bill failed to[[antecedent=VP2 lift x] λx [the box [late that Mary did △]]]An ACD argument against the Scope Theory(4) a. Syntax: [A [prof]F] will even [a [prof]F] come to the party.
b. LF: [A [prof]F] λx FUT even [the [prof]F x] come…
c. even ⇝ GENERIC(x) (([the professor x] comes…) <likely([the student x] comes…) …)
d. ⇝ GENERIC(x) ((x is a professor and comes…) <likely(x is a student and comes…) …)
The scalar inference of even is computed in its pronounced
position (4c). The complement of even contains a variable;
the scalar inference of even will project using genericquantification over its domain (4c). Local Accommodation
makes the contents of definite descriptions count towards
likelihood orderings (4d).

b. △ = “fail to lift”: Bill PAST[[ant=VP1 fail to lift x] λx [the box [late that Mary did △]]]Nakanishi’s argument:(9) Mary tried to lift the piano, the desk, and the box, but
couldn’t lift any of them. Bill said that he can lift all of them.
However, he has failed to lift the piano that Mary has failed
to lift, and has also failed to lift the desk that she has failed
to lift. Moreover, he has failed to even lift [DP the [box]F that
she has △].
(Nakanishi 2012: p. 127)
⇝ the box is the most likely to be lifted (vs piano, desk)
Nakanishi’s argument goes as follows:

References: Erlewine 2014. Movement Out of Focus. MIT dissertation • Jackendoff 1972.
Semantic Interpretation in Generative Grammar • Karttunen & Peters 1979. “Conventionalimplicature.” In Syntax and Semantics 11 • Nakanishi 2012. “The scope of even and quantifier
raising.” NLS 20 • Rooth 1985. Association with Focus. UMass Amherst dissertation(a) the intended △ = “failed to (even) lift” reading requires QR ofthe DP to a position above fail;(b) the focus will then be out of the scope of even (assumingmovement leaves traces, not copies);(c) even then must covertly scope above fail (Scope Theory).

Nakanishi’s Scope Theory account for (9) predicts that even canassociate with any subpart of the DP. In contrast, my accountpredicts only association with the head noun to be possible,
not the relative clause which is late-merged (Fox, 2002).
(10) Context: At the box-lifting competition, Sue first lifted the25kg box and then failed to lift the 30kg box. John lifted the20kg box but failed to lift the 25kg box. Mary wasdisqualified immediately, failing to lift the 15kg box.
15kg! 20kg! 25kg ! 30kg !

Mary ❌

John ⭕

Sue ⭕
John ❌

Sue ❌

And now it’s Bill’s turn. He normally does quite well, butsomehow he did terribly. Today…
(11) * he has failed to even lift [DP the box [RC that [Mary]F has △]].
(12) ✓ he has even failed to lift [DP the box [RC that [Mary]F has △]].
The contrast between (11) and (12) is unexpected by
Nakanishi’s account.