Case alignment across the lexicon
Balthasar Bickel
Alena Witzlack-Makarevich
Taras Zakharko
(U. of Leipzig)
Syntax of the World’s Languages IV
Lyon 23-26 September 2010
Alignment
• Both for descriptive and typological purposes, one of the standard
characterizations of case (and other) systems is their alignment,
i.e. which arguments receive the same case markers (incl. adpositions).
• Possible alignment types:
- S=A=P - neutral,
- S≠A≠P - tripartite,
- S=A≠P - accusative,
- S=P≠A - ergative,
- S≠A=P - horizontal (double-oblique)
Alignment
• E.g. Chechen (Nakh-Daghestanian),
non-continuous aspect:
S
so
ohw-v-uzh-u.
1sNOM down-V-fall-PRS
‘I fall.’
A
P
as
wazh
b-u’-u.
1sERG apple(B).NOM B-eat-PRS
‘I eat apples.’
→ S=P≠A - ergative alignment
Alignment splits
• Known complications: a single language can have multiple alignments
(splits), conditioned by:
- tense or aspect (e.g. past vs. non-past),
- clause type (e.g. finite vs. non-finite),
- referential properties of arguments (e.g. SAP vs. non-SAP),
etc.
• Solution: alignment type is established for individual subsystems
Alignment splits: an example
E.g. Chechen continuous aspect
S
so
ohw-v-uzh-ush
1sNOM down-V-fall-CVB.SIM
‘I’m falling.’
A
P
so
wazh-sh
1sNOM apple(B).NOM-PL
‘I’m eating apples.’
v-u.
V-eat-PRS
b-u’-ush
v-u.
B-eat-CVB.SIM V-eat-PRS
→ S=A=P - neutral alignment
• Alignment type of case marking is established for individual subsystems:
- non-continuous: S=P≠A (ergative)
- continuous:
S=A=P (neutral)
Alignment and predicates
• But there is a problem that goes far beyond this:
in many languages, lexical predicates vary in their case frames, e.g.
Chechen (Nakh-Daghestanian):
- one-argument predicates:
<SNOM>, <SDAT>, <SERG>, <SALL>
- two-argument predicates:
<AERG PNOM>, <ADAT PNOM>, <AGEN PNOM>,
<ANOM PALL>, <AERG PLAT>, etc.
- three-argument predicates:
<AERG TNOM GALL>, <AERG TNOM GDAT>, <AERG TLAT GNOM>,
<AERG TINS GALL>
Alignment and predicates
• Which arguments can be compared to determine the alignment type
of a language system (e.g. case marking)?
Chechen non-continuous aspect
- ohwad.ouzha ‘fall down’ (SNOM)
so
ohw-v-uzh-u.
1sNOM down-V-fall-PRS
‘I fall.’
- d.aa ‘eat’ (AERG PNOM)
as
wazh
b-u’-u.
1sERG apple(B).NOM B-eat-PRS
‘I eat apples.’
→ S=P≠A - ergative alignment
Alignment and predicates
•
-
Or some other one- and two-argument predicates:
-
d.ieza ‘love’ (ADAT PNOM)
A
P
suuna Zaara
j-eez-a.
1sDAT Zara(J).NOM J-love-PRS
‘I love Zara.’
jovxa d.aalla ‘be hot’ (SDAT)
S
suuna jovxa j-u.
1sDAT hot
J-be.PRS
‘I’m hot.’
> S=A≠P - accusative alignment
Alignment and predicates
•
-
Or yet another pair of one-argument and two-argument predicates:
jovxa d.aalla ‘be hot’ (SDAT)
S
suuna jovxa j-u.
1sDAT hot
J-be.PRS
‘I’m hot.’
- d.aa ‘eat’ (AERG PNOM)
A
P
as
wazh-ash
1sERG apple(B).NOM-PL
‘I eat apples.’
b-u’-u.
B-eat-PRS
> S≠A≠P - tripartite alignment
Alignment and predicates
➡
Alignment varies depending on which predicates (or generalized
predicate classes) we compare!
AERG PNOM
ADAT PNOM
AERG PDAT
(d.aa ‘eat’)
(d.ieza ‘love’)
(mohw tuoxa ‘call’)
S=P≠A
S≠A≠P
S≠A≠P
...
(jovxa d.aalla
‘be hot’)
S≠A≠P
S=A≠P
S=P≠A
...
...
...
...
...
...
two-argument →
one-argument ↓
...
SNOM
(ohwad.ouzha
‘fall down’)
SDAT
Alignment and predicates
•
The standard solution in the past has been to side-step the problem
and concentrate on an a priori defined prototype or canon.
•
The prototype or canon can be defined on the basis of
-
a gut feeling,
productivity,
token frequency,
type frequency,
a combination of criteria, e.g.
✦
type frequency for one- and two-argument predicates and
✦
a gut feeling for three-argument predicates (take ‘give’)
A priori defined prototype
•
Chechen exhibits S=P≠A (e.g. if default is defined by type frequency)
•
The rest are exceptions and can be ignored
two-argument →
one-argument ↓
AERG PNOM
(default)
(d.aa ‘eat’)
ADAT PNOM
AERG PDAT
(d.ieza ‘love’)
(mohw tuoxa ‘call’)
S=P≠A
!
e
r
S≠A≠P
o
n
g
I
!
e
r
S≠A≠P
o
n
g
I
SNOM (default)
(ohwad.ouzha
‘fall down’)
SDAT
(jovxa d.aalla
‘be hot’)
...
!
e
r
S≠A≠P
o
n
g
I
...
!
e
r
S=A≠P
o
Ign
...
...
...
!
e
r
o
S=P≠A
Ign
...
...
...
A priori defined prototype
•
•
Unsatisfactory:
-
artificial reduction of the true variation,
-
arbitrary decisions on what counts as the prototype,
-
misinterpreting or simplifying patterns of language change
(cf. Butt 2001 on the accusative to ergative shift in Indo-Aryan)
missing typologically interesting distributional patterns,
What is the alternative?
Exhaustive alignment
➡
•
Consider ALL predicates: “exhaustive alignment”
For this, define macro-argument roles S, A, P, T, and G exclusively by
semantic entailment criteria (e.g. Dowty 1991 or Primus 1999),
•
•
e.g. contributing properties of proto-A:
-
volitional involvement in the event or state;
-
causing an event or change of state in another participant, etc.
sentience (and/or perception);
Compare the marking of macro-argument roles of individual lexical
predicate classes:
-
reference to lexical predicate classes captures any lexical and
language-specific idiosyncrasies, including semantic specializations
(e.g. as experiencers)
Alignment and predicates
➡
Consider ALL predicates: “exhaustive alignment”
•
This can be done for all pairs (or triples if the comparison is extended
to three-argument verbs).
•
e.g. for Chechen
two-argument →
one-argument ↓
SNOM (default)
(ohwad.ouzha
‘fall down’)
SDAT
(jovxa d.aalla
‘be hot’)
...
AERG PNOM (default)
(d.aa ‘eat’)
ADAT PNOM
(d.ieza ‘love’)
AERG PDAT
(mohw tuoxa ‘call’)
...
S=P≠A
!
e
r
S≠A≠P
o
n
g
I
!
e
r
S≠A≠P
o
n
g
I
...
!
S≠A≠P
e
r
o
n
g
I
!
e
S=A≠P
r
o
Ign
...
...
!
e
r
S=P≠A
o
Ign
...
...
...
Default vs. non-default predicate classes
•
For Chechen predicates:
- 4 one-argument predicate classes
- 7 two-argument predicate classes
- 4 three-argument predicate classes
•
Exhaustive alignment:
➡ 4 × 7 = 28 alignment descriptions for one- and two-arg. predicates
(in each aspect subsystem: CONT & NON-CONT)
➡ 4 × 7 × 4 = 112 alignment descriptions for all predicates
(in each aspect subsystem: CONT & NON-CONT)
Exhaustive alignment in Chechen
•
The true diversity of exhaustive alignment in Chechen (S, A, and P only):
continuous aspect
non-continuous aspect
S!Atr!P
S!Atr!P
S=Atr!P
S=P!Atr
S=Atr!P
S=Atr=P
S=P!Atr
S!Atr=P
Exhaustive alignment in Chechen
•
The true diversity of exhaustive alignment in Chechen (S, Atr, P, Aditr, T, G):
continuous aspect
non-continuous aspect
S=Atr=Aditr=P=T!G
S=Atr=Aditr=T!P=G
S=Aditr=P=T!Atr=G
S=Atr=Aditr=T!P!G
S=G!Atr=Aditr=P=T
S=G!Atr=Aditr=T!P
S=P=G!Atr=Aditr=T
S=P!Atr=Aditr=T!G
S!Atr=Aditr=P=T!G
S!Atr=Aditr=T!P=G
S!Atr=Aditr=T!P!G
S=Atr=G!Aditr=P=T
S=Aditr=P=T!Atr!G
S=G!Atr!Aditr=P=T
S=Atr=Aditr=G!P!T
S=Atr=Aditr=P=G!T
S=Atr!Aditr=P=T!G
S=Atr=Aditr=G!P=T
S=Aditr=P=G!Atr!T
S=Atr!Aditr=P=G!T
S=P!Atr=Aditr=G!T
S!Atr=Aditr=G!P!T
S!Atr=Aditr=P=G!T
S!Atr=G!Aditr=P=T
S!Atr!Aditr=P=G!T
S!Atr!Aditr=P=T!G
S!Atr=Aditr=G!P=T
S=G!Atr=Aditr!P=T
S=Atr=Aditr!P=G!T
S=Atr=Aditr!P=T!G
S=Atr=Aditr!P!T!G
S=Aditr!Atr=G!P!T
S=Aditr!Atr=T!P!G
S=Atr=G!Aditr!P!T
S=Atr=T!Aditr!P!G
S=G!Atr=Aditr!P!T
S=G!Atr=T!Aditr!P
S=P=G!Atr=Aditr!T
S=P=T!Atr=Aditr!G
S=P!Atr=Aditr!T!G
S=P!Atr=G!Aditr!T
S=P!Atr=T!Aditr!G
S=T!Atr=Aditr!P=G
S=T!Atr=Aditr!P!G
S!Atr=Aditr!P=G!T
S!Atr=Aditr!P=T!G
S!Atr=Aditr!P!T!G
S!Atr=G!Aditr!P!T
S!Atr=T!Aditr!P!G
S=Atr=T!Aditr!P=G
S=P=T!Atr!Aditr!G
S=P=T!Atr=G!Aditr
S=Aditr!Atr=G!P=T
S=Aditr!Atr=T!P=G
S=Aditr!Atr!P=G!T
S=Aditr!Atr!P=T!G
S=Atr=G!Aditr!P=T
S=Atr!Aditr!P=G!T
S=Atr!Aditr!P=T!G
S=P=G!Atr=T!Aditr
S!Atr=T!Aditr!P=G
S=P=G!Atr!Aditr!T
S=G!Atr!Aditr!P=T
S!Atr!Aditr!P=T!G
S!Atr=G!Aditr!P=T
S!Atr!Aditr!P=G!T
Default vs. non-default predicate classes
•
Descriptive grammars and typologies often take the alignment of the
default classes as representative of the whole language system
(e.g. case marking).
•
The most practicable — and, as argued by Bickel et al. (2010), the
psycho-linguistically most realistic — definition of the default
predicate classes is in terms of type frequency
(i.e. largest class in the lexicon)
•
Is it really representative of the whole language system?
Default vs. non-default in Chechen
•
The true diversity of exhaustive alignment in Chechen (S, A, and P only):
continuous aspect
non-continuous aspect
S!Atr!P
S!Atr!P
S=Atr!P
S=P!Atr
S=Atr!P
S=Atr=P
S=P!Atr
S!Atr=P
Default vs. non-default in Chechen
•
The true diversity of exhaustive alignment in Chechen (S, Atr, P, Aditr, T, G):
continuous aspect
non-continuous aspect
S=Atr=Aditr=P=T!G
S=Atr=Aditr=T!P=G
S=Aditr=P=T!Atr=G
S=Atr=Aditr=T!P!G
S=G!Atr=Aditr=P=T
S=G!Atr=Aditr=T!P
S=P=G!Atr=Aditr=T
S=P!Atr=Aditr=T!G
S!Atr=Aditr=P=T!G
S!Atr=Aditr=T!P=G
S!Atr=Aditr=T!P!G
S=Atr=G!Aditr=P=T
S=Aditr=P=T!Atr!G
S=G!Atr!Aditr=P=T
S=Atr=Aditr=G!P!T
S=Atr=Aditr=P=G!T
S=Atr!Aditr=P=T!G
S=Atr=Aditr=G!P=T
S=Aditr=P=G!Atr!T
S=Atr!Aditr=P=G!T
S=P!Atr=Aditr=G!T
S!Atr=Aditr=G!P!T
S!Atr=Aditr=P=G!T
S!Atr=G!Aditr=P=T
S!Atr!Aditr=P=G!T
S!Atr!Aditr=P=T!G
S!Atr=Aditr=G!P=T
S=G!Atr=Aditr!P=T
S=Atr=Aditr!P=G!T
S=Atr=Aditr!P=T!G
S=Atr=Aditr!P!T!G
S=Aditr!Atr=G!P!T
S=Aditr!Atr=T!P!G
S=Atr=G!Aditr!P!T
S=Atr=T!Aditr!P!G
S=G!Atr=Aditr!P!T
S=G!Atr=T!Aditr!P
S=P=G!Atr=Aditr!T
S=P=T!Atr=Aditr!G
S=P!Atr=Aditr!T!G
S=P!Atr=G!Aditr!T
S=P!Atr=T!Aditr!G
S=T!Atr=Aditr!P=G
S=T!Atr=Aditr!P!G
S!Atr=Aditr!P=G!T
S!Atr=Aditr!P=T!G
S!Atr=Aditr!P!T!G
S!Atr=G!Aditr!P!T
S!Atr=T!Aditr!P!G
S=Atr=T!Aditr!P=G
S=P=T!Atr!Aditr!G
S=P=T!Atr=G!Aditr
S=Aditr!Atr=G!P=T
S=Aditr!Atr=T!P=G
S=Aditr!Atr!P=G!T
S=Aditr!Atr!P=T!G
S=Atr=G!Aditr!P=T
S=Atr!Aditr!P=G!T
S=Atr!Aditr!P=T!G
S=P=G!Atr=T!Aditr
S!Atr=T!Aditr!P=G
S=P=G!Atr!Aditr!T
S=G!Atr!Aditr!P=T
S!Atr!Aditr!P=T!G
S!Atr=G!Aditr!P=T
S!Atr!Aditr!P=G!T
Default vs. non-default: S, A, and P
Is the default predicate class really representative?
Alignment
like default
Alignment
different from
lia
GAu
str
a
ia
Eu
ras
s
ca
Am
eri
a
default
Afr
ic
•
103 languages
Default vs. non-default: P, T, and G
Is the default predicate class really representative?
Alignment
like default
Alignment
different from
lia
NG
-A
u
str
a
sia
Eu
ra
s
er
ica
Am
ric
a
default
Af
•
92 languages
Default vs. non-default: S, A, P, T, and G
Is the default predicate class really representative?
Alignment
like default
Alignment
different from
lia
NG
-A
u
str
a
sia
Eu
ra
s
er
ica
Am
ric
a
default
Af
•
94 languages
Default vs. non-default predicate classes
Conclusion:
‣ The alignment of default classes is never a good approximation of the
exhaustive alignment (i.e. alignment on the basis of all predicate
classes)!
A more substantial issue
• Looking at non-default classes is not only necessary for accurate
description
• but also allows exploring the distribution and historical development of
alignment types in their own right
• For this, we measure distances between alignment types ...
Distances between alignments
•
Idea: some alignment types are more similar (historically closer than)
to some other alignment types,
•
•
e.g.S=A=P is closer to S=A≠P than to S≠A≠P
Levenshtein distance (for S, A, and P):
S=A=P
S=A≠P
S=P≠A
S≠A=P
S≠A≠P
S=A=P
0
1
1
1
2
S=A≠P
1
0
2
2
1
S=P≠A
1
2
0
2
1
S≠A=P
1
2
2
0
1
S≠A≠P
2
1
1
1
0
For S, Atr/ditr, P, T, and G the Levenshtein distance can be up to 5.
4
3
2
1
0
Mean distance between alignments involving
nondefault classes from the default alignment
Correlation of distances with presence of ergativity
no S!A
some S!A
in the aligment of default classes
4
3
2
1
0
Mean distance between alignments involving
nondefault classes from the default alignment
Correlation of distances with presence of ergativity
no S!A
some S!A
in the aligment of default classes
4
3
2
1
0
Mean distance between alignments involving
nondefault classes from the default alignment
Correlation of distances with presence of ergativity
no S!A
some S!A
in the aligment of default classes
Correlation of distances with presence of ergativity
Mean distance between alignments involving
nondefault classes from the default alignment
N (nondefault classes) : [ 1, 2 ]
3
x
1
0
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
xx
xx
x
x
x
x
x
x
xx
x
x
x
N (nondefault classes) : [ 5, 10 ]
x
x
x
x
x
x
x
xx
x
x
x
x
x
x
x
x
N (nondefault classes) : [ 6, 13 ]
x
3
x
x
x
x
x
1
x
x
x
N (nondefault classes) : [ 4, 6 ]
2
N (nondefault classes) : [ 3, 4 ]
x
x
2
N (nondefault classes) : [ 2, 3 ]
xx
xx
x
xx
x
x
xx
x
x
xx
x
x
xx
x
x
x
x
x
xx
x
some S!A
no S!A
xx
x
x
x
x
xx
some S!A
no S!A
x
x
x
x
0
no S!A
alignment in the default class
some S!A
Correlation of distances with presence of ergativity
• The mean distance of non-default alignments to default alignments
correlates
• with the number of non-default classes, F = 21.85, p < .001
(not on the slides)
• with the presence of an ergative alignment in the default predicate
classes, F = 25.87, p < .001
• but not with an interaction between these factors, F = .005, p = .99
• Suggests possible hypotheses to be further tested, with control of
geography and genealogy and larger sample (current sample: 94
languages)
Discussion
• S≠A in the default favors more varied exhaustive alignment, and
more varied exhaustive alignment favors S≠A in the default.
• This fits
• with Nichols (1993) proposal that ergativity is “recessive” and
therefore more prone to variation
• and with Butt’s (2001) finding that S≠A traces in Indo-Aryan are a
reflex of an extreme and continued variation in exhaustive alignment.
• Hypothesis for future research: a Diachronic Universal:
• S≠A traces in a language increase alignment variation over time, and
• alignment variation leads to the development and maintenance of
S≠A traces over time
Conclusion
• Alignment patterns involving non-default predicate classes are essential
‣ from a descriptive perspective because:
• default classes (or any other “basic” predicate type) are
bad estimators of the overall alignment in a language
‣ from a theoretical perspective because:
• they help understand how S≠A develops over time
• they give insights on the recessive nature of S≠A in languages
Thank you!
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