(Preliminary) Principles,of,Projecon · 2016. 7. 17. · Hedde$Zeijlstra(Göngen)$ $ (Preliminary)...

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Hedde Zeijlstra (Gö0ngen) (Preliminary) Principles of Projec3on Goe5heUniversität Frankfurt Workshop on agreement July 14, 2016

Transcript of (Preliminary) Principles,of,Projecon · 2016. 7. 17. · Hedde$Zeijlstra(Göngen)$ $ (Preliminary)...

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Hedde  Zeijlstra  (Gö0ngen)    

(Preliminary)  Principles  of  Projec3on  

 

Goe5he-­‐Universität  Frankfurt  Workshop  on  agreement    

July  14,  2016  

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Ques3on  

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I.  Ques3on  

What,  if  any,  is  the  label  of  γ?    

         γ  

   α        β      Is  labelling  required,  and  if  so,  is  there  a  unified  labeling  algorithm  that  will  suffice  for  all  cases?  

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II.  Previous  approaches  

Chomsky  (1995,  2000),  Adger  (2003),  Boeckx  (2008):  What  selects  projects.  

   §  In  {α  ,  β  },  if    α  selects  for  (a  feature  present  on)  β,  α  is  the  label  

of  {α  ,  β  }.      

   T      D[ϕ]        T[uϕ]      

   T[uϕ][uv]                v        

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Advantages:    §  Unified  LA  (except  for  adjunc\on):  applies  to  Head-­‐Comp  

configura\ons  and  to  both  internally  and  externally  specifiers  §  Determines  the  syntac\c  behaviour  of  the  top  node    

II.  Previous  approaches  

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II.  Previous  approaches  

Problems:  

 §  Unmo\vated  why  the  selector  should  project  §  Does  not  apply  to  adjunc\on  §  Ordering  problem  (why  not  have  T  first  merge  with  DP  and  then  with  vP)?  

§  If  selec\onal  features  are  uninterpretable  features,  why  can’t  they  be  checked  on  a  distance?  

§  Various  selec\onal  features  are  taken  to  be  seman\c  features  (s-­‐selec\on  vs.  c-­‐selec\on).  But  why  would  seman\c  features  play  a  role  in  syntax?  

§  What  happens  if  the  complement  also  selects  a  feature  of  the  head  (e.g.  case  feature  checking  to  sisters  of  V  or  P)?  

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III.  Aims  

These  problems  (and  other  reasons)  have  called  for  various  alterna3ve  approaches  to  labelling:    §  Chomksy  (1995,  2000,  2008):  γ  is  either  α  or  β  §  Collins  (2002):  no  label  at  all  §  Adger  (2012):  something  else  than  α  or  β    §  Chomsky  (2013,  2014):  either  α,  β  or  a  shared  feature  of  α  and  β      

 

 

 

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III.  Aims  

But  would  it  be  possible  to  formulate  a  labelling  theory  based  on  the  idea  that  selec3on  projects  that:  

 §  Mo\vates  why  the  selector  projects  §  Can  account  for  labelling  in  all  configura\ons  (including  adjunc\on)  

§  Can  overcome  the  ordering  problem  §  Can  account  for  the  differences  between  selec\on  and  Agree    §  Can  circumvent  the  problems  rela\ng  s-­‐selec\on  vs  c-­‐selec\on  and  mutual  selec\on  (e.g.  with  case)  

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Background  

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IV.  Background  

What  features  are  involved  in  labelling  and  other  syntac3c  opera3ons?  

 §  Chomsky  (1995  et  seq):  minimally  interpretable  and  

uninterpretable  formal  features:  §  Later  on,  a  variety  of  other  features  have  been  postulated:  

categorial  features,  selec\onal  features,  edge  features,  EPP-­‐features,  fully  uninterpretable  features,  etc.  

Ideally,  any  theory  of  syntac\c  dependencies  must  be  based  on  the  smallest  set  of  types  of  features:  minimally,  interpretable  and  uninterpretable  formal  features.      

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IV.  Background  

Chomsky  (1995,  2000,  2001):    §  The  set  of  formal  features  and  the  set  of  seman\c  features  intersect:  

§  Uninterpretable  features  must  be  deleted  under  checking  with  interpretable  features  

   

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IV.  Background  

Zeijlstra  (2014):    §  The  sets  of  formal  features  and  seman\c  features  do  not  intersect:  

 §  Language  acquisi\on  determines  that  most,  but  crucially  not  all,  lexical  items  with  the  seman\cs  of  F  are  assigned  a  formal  feature  [iF].  

§  It  is  a  property  of  syntax  that  [uF]  features  need  to  be  c-­‐checked  by  [iF]  features  (otherwise  the  sentence  crashes).  

   

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IV.  Background  

Advantages:    §  Interpretable  features  are  no  longer  ‘interpretable’;  they  are    purely  syntac\c  features.  

§  A  be5er  terminology  would  be  dependent  and  independent  features.  

§  If  independent  features  are  void  of  seman\c  content,  they  can  be  unified  with  categorial  features.  

§  Lexical  items  then  contain  only  two  sets  of  features:  dependent  and  independent  categorial  features:  

Example:      ON    {{[P]},{[uD]}}      

       

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Proposal  

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V.  Proposal  

Two  approaches  to  the  central  ques3on:      …  

   α        β    §  Why  should  the  top  node  receive  some  content  (i.e.  why  must  

α  or  β  percolate)?  §  Why  don’t  α  and  β  not  both  percolate?  

Most  theories  of  labelling  focus  on  the  gain  of  informa\on;  hardly  any  theory  focuses  on  the  loss  of  informa\on  (Neeleman  &  Van  der  Koot  2002  being  a  notable  excep\on).  

 

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V.  Proposal  

Principle  of  Containment  of  Syntac3c  Informa3on  (CSI):  syntac'c  informa'on  may  not  disappear  in  the  tree  (i.e.  all  syntac'c  features  percolate).    §  Merge  results  in  the  union  of  the  sets  of  dependent  and  

independent  features  of  its  daughters.    

   {{[F]  ,  [K]},  {[uG],  [uL]  }  }        {{[F]},  {[uG]}  }        {{[K]},  {[uL]}  }        

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V.  Proposal  

However,  since  both  dependent  and  independent  formal  features  are  categorial  features,  merger  of  an  element  with  a  dependent  and  an  element  with  a  matching  independent  formal  feature,  results  in  removal  of  both:    

             {{[F]}}        {{[F]},  {[uG]}  }        {{[G]}}        

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V.  Proposal  

However,  since  both  dependent  and  independent  formal  features  are  categorial  features,  merger  of  an  element  with  a  dependent  and  an  element  with  a  matching  independent  formal  feature,  results  in  removal  of  both:    

             {{[F]},  {[uL]  }  }        {{[F]},  {[uG]}  }        {{[G]},  {[uL]}  }        

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Applica3on  

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VI.  Applica3on  

Now,  let‘s  see  how  the  proposal  deals  with  the  desiderata  for  a  labelling  theory  based  on  selec3onal  projec3on:    §  Mo\vates  why  the  selector  projects  §  Can  account  for  labelling  in  all  configura\ons  (including  adjunc\on)  

§  Can  overcome  the  ordering  problem  §  Can  account  for  the  differences  between  selec\on  and  agree    §  Can  circumvent  the  problems  rela\ng  s-­‐selec\on  vs  c-­‐selec\on  and  mutual  selec\on  (e.g.  with  case)  

     

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The  selector  projects:  labelling  of  head-­‐complement  configura\ons  

and  configura\ons  involving  specifiers  

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VI.  Head-­‐Complements  

Given  the  categorial  status  of  both  dependent  and  independent  features,  sisterhood  of  two  matching  dependent  and  independent  features  results  in  removal  of  both  from  the  top  node.    This  accounts  for  the  fact  that:      §  The  selected  feature  does  not  project    §  the  selec\ng  feature  does  not  project  

§  that  all  other  features  s\ll  project.    

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VI.  Head-­‐Complements  

Example:  D  selec3ng  NP      

             {{[D]}}        {{[D]},{[uN]}}        {{[N]}}    

         

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VI.  Head-­‐Complements  

Example:  P  selec3ng  DP      

             {{[P]}}        {{[P]},{[uD]}}        {{[D]}}        

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VII.  Specifiers  

Following  the  earlier  proposals,  the  same  mechanism  applies  to  specifiers  merging  with  bar-­‐levels.    Example:  vP  (involving  External  Merge):        

       

   {{[v]}}        {{[D]}}        {{[v]},{[uD]}}      

           {{[v]},{[uV],  [uD]}}        {{[V]}}    

     

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VII.  Specifiers  

Following  the  earlier  proposals,  the  same  mechanism  applies  to  specifiers  merging  with  bar-­‐levels.    Example:  TP  (involving  Internal  Merge):        

       

   {{[T]}}        {{[D]}}        {{[T]},{[uD]}}      

           {{[T]},{[uD],  [uv]}}        {{[v]}}    

     

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VII.  Specifiers  

Hence,  the  proposal  so  far  explains  why  the  selector  probes,  and  also  how  labeling  works  for  Head-­‐Complement  rela3ons  and  specifiers  (irrespec3ve  of  their  original  posi3on).      §  However,  an  problem  for  unifying  labelling  in  both  Head-­‐

Comp  and  Spec-­‐Head  configura\ons  concerns  the  ordering  of  the  fulfilment  of  the  selec\onal  requirements.  

*    {{[T]}}        {{[v]}}        {{[T]},{[uv]}}      

           {{[T]},{[uD],  [uv]}}        {{[D]}}    

   

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VII.  Specifiers  

Two  solu3ons  suggest  themselves:    §  Add  ordering  diacri\cs:  for  some  reason,  the  [uv]  feature  on  

the  T-­‐head  needs  to  be  checked  first,  and  only  then  the  [uD]  feature  (same  for  [uV]  and  [uD]  on  v).  

 §  Rule  out  the  unwanted  orders  by  means  of  interface  

condi\ons:  the  seman\cs  of  T  require  a  seman\c  complement  that  can  only  be  realized  by  vP,  not  by  DPs;  same  for  v.  

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VII.  Specifiers  

Theore3cal  consequences:    §  Apart  from  the  addi\on  of  (ordering)  diacri\cs,  the  first  

solu\on  runs  against  the  more  central  principle  of  the  proposal,  namely  that  the  set  of  (in)dependent  features  present  on  a  lexical  item  is  unordered.  

§  Not  immediately  clear  how  every  unwanted  selec\on  order  can  be  ruled  out,  something  required  by  the  second  solu\on.  

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VII.  Specifiers  

Empirical  consequences:  the  two  solu\ons  make  a  very  clear  empirical  predic\on:  

§  Under  the  ordered  features  solu\on  flexible  selec\on  orders  are  never  possible;  

§  Under  the  interface  solu\on  flexible  selec\on  orders  are  expected  when  the  interfaces  do  not  rule  them  out;  

Spoiler:  we  will  indeed  a5est  cases  where  selec\on  orderings  are  flexible.  

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Adjunc3on  

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VIII.  Adjuncts  

Adjuncts  form  a  notorious  problem  for  labelling  under  Bare  Phrase  Structure  (cf.  Hornstein  &  Nunes  2009  and  references  therein).      §  Under  Bare  Phrase  Structure  Bar  levels  and  Maximal  

projec\ons  are  structurally  defined:    

   XMAX  

   YMAX        X      

   XMIN        ZMAX    

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VIII.  Adjuncts  

But  adjunc3ons  consists  of  two  layers  of  the  same  feature  that  should  both  count  as  maximal:    

       XMAX          

   XMAX        WMAX    

 YMAX        X      

   XMIN        ZMAX    

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VIII.  Adjuncts  

For  this  reasons,  adjuncts  have  been  taken  outside  the  system  that  derives  structures  by  means  of  set-­‐merge  and  labelling:  

§  Chomsky  (2001):  Set-­‐Merge  vs  Pair-­‐Merge  

§  Lebaux  (1989):  Late  inser\on  of  adjuncts  into  already  labelled  structures  

 §  Hornstein  &  Nunes  (2009):  Unlabelled  adjuncts    

All  these  approaches  have  been  primarily  introduced  to  account  for  the  special  status  of  adjuncts  under  Bare  Phrase  Structure.  

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VIII.  Adjuncts  

However,  under  the  proposal  proposed  here,  adjuncts  can  be  derived  under  Bare  Phrase  Structure.  Take  the  following  structure    

             {{[X]}}        {{[Y]}}          ...      Irrespec\ve  of  the  phrasal  status  of  the  elements  represented  by  {{[X]}}  and  {{[Y]}},  we  can  compute  the  feature  representa\on  of  the  unknown  sister/daughter,  which  must  be:    {{[X]},  {[uY]}}                

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VIII.  Adjuncts  

Adjuncts  are  cases  where  the  top  node  must  be  featurally  iden3cal  to  one  its  sisters,  otherwise  its  distribu3on  would  not  be  iden3cal.    

             {{[X]}}        {{[X]}}          ...  

     But  that  means  that  every  X-­‐adjunct,  should  have  a  representa\on:      {{[X]},  {[uX]}}.                

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VIII.  Adjuncts  

VP  adjuncts,  e.g.  adverbs,  should  then  be  taken  to  be  elements  with  a  featural  representa3on  {{[V]},  {[uV]}}.      But,  as  the  picture  shows,  this  solves  the  adjunct  problem.  In  the  configura\on  below,  both  V-­‐layers  are  maximal  projec\ons  (where  colours  show  projec\on  lines;    

             {{[V]}}        {{[V]}}          {{[V]},  {[uV]}}                    

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VIII.  Adjuncts  

Note  that,  as  things  stand  now,  adjuncts  must  be  specified  for  the  phrases  they  adjoin.      §  For  VP-­‐adverbs  we  can  indeed  say  that  they  are  elements  with  

a  categorial  feature  set  {{[V]},  {[uV]}}.    §  But  how  about  other  types  of  adjuncts?  Various  adjuncts  may  

modify  different  types  of  phrases,  even  phrases  that  belong  to  different  extended  projec\ons.  

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IX.  PPs  

The  kind  of  adjuncts  that  are  syntac3cally  most  flexible  are  PPs.    If  PPs  can  be  used  as  VP  adjuncts,  they  should  be  analysed  as  {{[V]},  {[uV]}}.  But  such  an  analysis  gives  rise  to  the  following  two  issues:    §  If  PPs  are  {{[V]},  {[uV]}},  what  are  Ps?    §  PPs  may  adjoin  to  (at  least)  NPs,  APs  and  VPs.  

Let’s  discuss  the  two  issues  in  turn.  

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IX.  PPs  

Ps  selec3ng  DPs    

             {{[V]},  {[uV]}}      

 ...        {{[D]}}        If  a  PP    is    {{[V]},  {[uV]}},  then  P  must  be:    {{[V]},  {[uV],  [uD]}}.          

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IX.  PPs  

Ps  selec3ng  DPs    

             {{[V]},  {[uV]}}        {{[V]},  {[uV],  [uD]}  }      {{[D]}}        But  now  the  ordering  problem  re-­‐appears:  why  could  P,  then,  not  first  select  /  merge  with  a  V,  and  then  with  a  DP?  The  proposal  predicts  the  following  to  be  gramma\cal:          

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       {{[V]}}        

   {{[V]},{[uD]}}      {{[D]}}      

       {{[V]},{[uV],  [uD]}}      {{[V]}}        But  how  bad  are  these  structures?    

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IX.  PPs  

Many  languages  allow  preposi3ons  to  form  syntac3c  structures  with  verbs  (so  called  par3cle  verb  construc3ons),  before  they  merge  with  their  arguments.  

§  [[Eat  up]  [the  sandwich]]  §  Ich  rufe  [Marie  [an-­‐rufe]]  (German,  I  call  Mary  to)  

Even  though  such  construc\ons  are  strongly  constrained  (not  every  preposi\on  and  verb  can  form  a  par\cle  verb),  the  fact  that  some  can  shows  that  an  analysis  of  preposi\ons  being  able  to  select  verbs  and  jointly  select  a  subsequent  argument  is  necessary.    

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IX.  PPs  

According  to  Van  Riemsdijk  (1978),  Baker  (1988),  Koopman  (1995),  Neeleman  (1994,  2002),  Zeller  (2001),  among  many  others,  par3cle  verbs  are  complex  verbal  heads:  

§  Zeller  (2001):  par\cle  verbs  are  complex  heads,  where  the  verbal  subfeatures  of  the  verb  do  not  percolate  to  the  verb-­‐par\cle  complex  (as  only  the  verbal  part  can  receive  inflec\onal  morphology):  

       V  

   

   VF    Part  

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IX.  PPs  

This  is  indeed  what  is  derived  by  the  proposal:  the  verb  is  adjoined  by  the  preposi3onal  par3cle,  but  the  verbal  feature  on  the  top  node  stems  from  the  par3cle,  not  form  the  verb  itself.      

     V        {{[V]},{[uD]}}    

   

   VF    Part      {{[V:  F]}}    {{[V]},{[uV],  [uD]}}    

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The  existence  of  par3cle  verbs      §  thus  supports  the  proposed  analysis  

§  and  forms  an  empirical  argument  for  flexible  selec\onal  ordering,  showing  that  constraints  on  sec\onal  ordering  must  follow  from  the  interfaces  (with  seman\cs)  and  not  be  encoded  in  syntax  proper;  when  the  interfaces  do  not  rule  out  one  of  two  logically  possible  orderings,  both  orderings  are  indeed  ruled  in.  

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The  next  ques3on  is  how  to  deal  with  PPs  modifying  NPs  and  APs.    §  In  principle  PPs  may  modify  NPs.  

 The  book  about  Trump    §  Also,  (predica\ve)  adjec\ves  may  be  modified  by  PPs  (albeit  

more  rarely,  presumably  a  consequence  of  the  fact  that  most  adjec\ves  assign  only  one  theta-­‐role):  

 The  doctor  is  afraid  of  the  pa\ent    *The  afraid  of  the  pa\ent  doctor  commi5ed  suicide  

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X.  Predicates  

If  PPs  (as  any  other  adjuncts)  select  for  their  sisters,  and  PPs  do  not  only  select  for  verbs,  there  are  two  logical  op3ons:    §  PPs  are  ambiguous  between  verbal,  nominal  and  

(predica\vely  used)  adjec\val  PPs  (and  there  are,  thus,  three  types  of  preposi\ons).  

§  There  is  a  supercategory  above  verbs,  nouns  and  (predica\vely  used)  adjec\ves.  

The  first  op\on  can  hardly  be  supported  as  virtually  every  PP  can  be  used  to  modify  VPs,  NPs  and  APredPs.  

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The  second  op3on,  however,  has  been  proposed  for  a  variety  of  other  reasons  in  the  literature:    §  In  various  languages  various  lexical  items  (if  not  all)  can  be  

used  both  verbally  and  nominally.  §  The  idea  that  lexical  items  are  not  stored  in  the  lexical  as  

nouns/verbs,  but  as  roots,  which  are  rendered  nominal/verbal  by  having  them  merge  with  a  N-­‐/V-­‐  feature  is  very  much  in  line  with  elements  having  some  kind  of  a  supercategorial  feature.  

§  Seman\cally,  verbs,  nouns  and  adjec\ves  all  seem  to  denote  predicates,  with  addi\onal  argumental  or  other  requirements;  this  seman\c  core  would  then  be  reflected  in  the  syntac\c  featural  inventory.  

 

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X.  Predicates  

Proposal:    §  There  is  a  superfeature  [Predicate]  

§  This  feature  can  receive  a  feature  value  (i.e.  become  a  subfeature)  V  or  N.  

§  Predica\vely  used  adjec\ves  are  unvalued  predicates.  

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[PRED(ICATE)]        

 [PRED:  N]  =  [N]      [PRED:  V]  =  [V]    Now,  if  this  is  correct,  Ps  are  nothing  but  elements  that  are:    §  {{[PRED]},{[uPRED],  [uD]}}    

§  Immediately  valued  for  V/N  (and  thus  become  {{[V]},{[uV],  [uD]}}and    {{[N]},{[uN],  [uD]}}  respec\vely)  when  merged  with  a  V-­‐  or  N-­‐labelled  element.  

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X.  Predicates  

V  PP  merger:    

                       {{[V]}}        {{[V]}}                  {{[V]},  {[uV]}        {{[V]}}                  {{[Pred:  V]},  {[uPred:  V]}        {{[V]}}                  {{[Pred]},  {[uPred]}        

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N  PP  merger:    

                       {{[N]}}        {{[N]}}                  {{[N]},  {[uN]}        {{[N]}}                  {{[Pred:  N]},  {[uPred:  N]}        {{[N]}}                  {{[Pred]},  {[uPred]}        

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If  preprosi3ons  are  indeed  elements  carrying  {{[PRED]},{[uPRED],  [uD]}}:    §  Their  behaviour  of  PPs  as  N,  V  and  A  modifiers  follows  

naturally.  

§  The  analysis  of  adjuncts  as  elements  selec\ng  their  modifiee  can  be  maintained.  

§  It  is  shown  that  the  set  of  selec\ng  features  ([uF]s)  on  a  par\cular  element  should  indeed  remain  unordered.  

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XI.  An  excursion  to  the  DP  

If  predica3ve  adjec3ves  are  indeed  elements  carrying  {{[PRED]}},  ques3ons  concerning  the  internal  structure  of  DPs  arise  .    §  Determiners  select  nouns,  or  nominal  elements:    

       D          {{[D]}}    

           D        N      the        car      {{[D]},  {[uN]}}      {{[N]}}    

 

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Under  this  system,  proper  names  and  pronouns  are  D-­‐heads  to  do  not  select  for  any  NPs.    §  John,  Mary,  the  US:  {{[D]}}  

§  They,  her,  we:  {{[D]}}  

Two  consequences:      §  No  need  for  a  complex  internal  covert  NP  complex  inside  the  

DP  (pace  Abney  1997  et  seq).    

§  (Interpretable)  phi-­‐features  are  hosted  on  D  (and  not  on  N).  

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But  if  Ds  select  NPs,  nouns  modified  by  (alribu3vely  used)  adjec3ves  must  be  NPs  too.    

   D      {{[D]}}    

   D        N  the        {{[N]}}    {{[D]},  {[uN]}}      

       A        N        red        car          {{[N]},{[uN]}}      {{[N]}}    

   

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But  now  we  face  a  problem.  If  predica3vely  used  adjec3ves  are  {{[Pred]}},  how  can  alribu3vely  used  adjec3ves  be  {{[N]},{[uN]}}?      §  In  some  languages  (e.g.  Dutch)  only  a5ribu\vely  used  

adjec\ves  receive  morphological  inflec\on,  predica\vely  used  adjec\ves  do  not.  

     De  auto  is  rood/*rode    The  car  is  red          De  rode  /*rood  auto    The  red.INFL  car  

 

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Arguably,  this  shows  that  inflec3onal  morphology  on  alribu3vely  used  adjec3ves  has  a  different  formal  func3on  than  that  on  predica3vely  used  adjec3ves.    §  This  allows  us  to  hypothesize  that  inflec\onal  morphology  on  

adjec\ves  func\ons  as  a  type-­‐shi{er:  it  changes  predicates  into  nominal  adjuncts.  

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 N  

     {{[N]}}        

   Aa5          N    {{[N]},{[uN]}}        auto              {{[N]}}                

Pred    Infl  Rood    -­‐e            {{[Pred]}}    {{[N]},{[uPred],[uN]}}      

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Evidence  for  the  idea  that  inflec3onal  morphology  changes  predicates  into  nominal  adjuncts  comes  again  from  PP  modifica3on.    §  As  in  English,  Dutch  predica\vely  used  adjec\ves  can  be  

modified  by  (right-­‐adjoined)  PPs;    a5ribu\vely  used  adjec\ves  cannot  be  modified  by  (right-­‐adjoined)  PPs  

 De  student  is  bang  van  Marie    The  student  is  afraid  of  Marie    *De  bang  van  Marie(-­‐e)  student    The  afraid  of  Mary  student    

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XI.  An  excursion  to  the  DP  

Evidence  for  the  idea  that  inflec3onal  morphology  changes  predicates  into  nominal  adjuncts  comes  again  from  PP  modifica3on.    §  But  a5ribu\vely  used  adjec\ves  can  be  modified  by  le{-­‐

adjoined  PPs:  

 De  van  Marie  bang-­‐e  student    The  of  Mary  afraid.INFL  student  

   §  [De  [[[van  Marie  bang]-­‐e]  student]]  

   

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XI.  An  excursion  to  the  DP  

Under  this  proposal,  at  least  for  some  instances  of  inflec3onal  morphology  their  presence  can  be  mo3vated  in  formal  terms  (instead  as  some  piece  of  redundant  uninterpretable  informa3on).    §  Moreover,  note  that  this  way,  adverbs  are  the  verbal  

counterparts  of  a5ribu\vely  used  adjec\ves;  they  are  elements  carrying  {{[V]},{[uV]}}  that  can  be  created  in  the  same  way  from  predicates.  

§  adverbial  –ly  would  then  just  be  {{[V]},{[uPred],[uV]}}:  merged  with  a  predicate  like  quick,  this  would  then  yield:  quick-­‐ly,  carrying  {{[V]},{[uV]}}.          

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XI.  An  excursion  to  the  DP  

Finally,  one  ques3on  needs  to  be  addressed.  If  preposi3ons  carry  {{[Pred]},{[uPred],[uD]}},  mo3vated  by  their  ability  to  modify  nouns  and  verbs  in  the  same  way,  why  don‘t  we  have  par0cle  noun  construc0ons?    

 *The  in  car  seat  (int.:  the  car-­‐internal  seat)    §  The  proposed  system  ruled  this  out.  Apart  from  theta-­‐

theore\c  requirements,  in  car  seat  would  end  up  carrying    {{[N]},{[uD]}}.  But  determiners  carry  {{[D]},{[uN]}}.  Merger  of  these  two  would  yield  a  label-­‐less  element.  

§  Of  course  merger  of  a  proper  name  /  pronoun  and  a  par\cle  noun  construc\on  should  then  be  ruled  out  independently  (in  terms  of  seman\c  mismatches).  

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XII.  Summing  up  

Summing  up:    §  In  this  way,  the  system  meets  several  of  the  desiderata  for  any  

labelling  account:  it  can  account  for  all  labelling  configura\ons  and  it  can  circumvent  the  ordering  problem.  

§  However,  the  difference  between  Agree  and  selec\on,  as  well  as  various  issues  concerning  VP-­‐internal  labeling,  are  s\ll  in  need  of  explana\on.      

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Selec3on  and  Agree  

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XIII.  Agree  

So  far,  the  system  proposed  exploits  uninterpretable  (or  beler:  dependent)  features  to  encode  selec3onal  requirements.  But  if  (local)  selec3on  results  from  feature  checking,  how  can  Agree  apply  on  a  long  distance?    §  Proposal:  Long-­‐distance  Agree  is  the  result  of  local  checking  

plus  asymmetric  feature  percola\on  (cf.  Neeleman  &  Van  der  Koot).  

 

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XIV.  Upward  and  Downward  Agree  

Currently:  a  debate  about  the  direc3onality  of  Agree.    §  Downward  Agree  (Chomksy  2001,  Preminger  2013,  

Preminger  &  Polinsky  2015):  an  uninterpretable  feature  must  c-­‐command  an  interpretable  matching  feature.  

§  Upward  Agree  (Wurmbrand  2011,  2012,  Zeijlstra  2012,  Bjorkman  &  Zeijlstra  2015):  an  interpretable  feature  must  c-­‐command  an  uninterpretable  matching  feature.  

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XIV.  Upward  and  Downward  Agree  

Major  arguments  come  from  different  perspec3ves:    §  Downward  Agree:  certain  cases  of  long-­‐distance  agreement  

involve  clear  cases  where  the  goal  never  c-­‐commands  the  goal.  

§  Upward  Agree:  all  syntac\c  dependencies  (binding),  strict  NPI-­‐licensing,  Nega\ve  Concord,  Sequence  of  Tense)  except  morphological  co-­‐varying  phi-­‐agreement  involve  clear  ‘upward’  checking;  long-­‐distance  agreement  is  o{en  dependent  on  other  instances  of  Upward  Agree  and  defec\ve.    

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XIV.  Upward  and  Downward  Agree  

Solu3on:  separate  valua3on  from  checking  (Bjorkman  &  Zeijlstra  2015)    §  Checking:  every  uninterpretable  feature  must  be  checked  by  a  

c-­‐commanding  matching  interpretable  feature.  

§  Valua3on:  every  unvalued  feature  must  be  valued;  only  if  the  checker  does  not  value  this  feature  itself,  a  lower  interpretable  feature  can  do  this  to  (provided  that  this  lower  goal  stands  in  a  checking  rela\on  with  the  goal  itself).  

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XIV.  Upward  and  Downward  Agree  

Examples:  In  languages  with  nomina\ve-­‐accusa\ve  case  systems,  agreement  is  with  the  subject.  

§  [[DPNOM]  T  [uPHI:  __]  …  [DPACC]]  (English)  

In  languages  with  erga\ve-­‐absolu\ve  case  systems,  agreement  is  either  with  the  subject  or  the  object  (cf.  Bobaljik  2008).  If  erga\ve  case  is  structural,  the  phi-­‐features  on  the  subject  are  ac\ve  and  can  value  the  probe  (e.g.  Nepalese);  if  erga\ve  case  is  inherent,  these    phi-­‐features  are  inac\ve  and  the  absolu\ve  object  (receiving  case  from  T)  fulfils  the  valua\on  requirement  (e.g.  Hindi)    §  [[DPERG]  T  [uPHI:  __]  …  [DPABS]]  

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XIV.  Upward  and  Downward  Agree  

So  far:    §  Under  this  approach  instances  of  downward  agreement  are  

compa\ble  with  the  Upward  Agree  approach.  For  our  purposes  here,  it  suffices  to  say  that  every  [uF]  needs  to  be  checked  by  a  matching  [F],  the  la5er  c-­‐commanding  the  former.    

§  If  valua\on  cannot  take  place  under  checking,  another  goal  can  complete  the  valua\on  process  (under  par\cular  configura\onal  condi\ons).  

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XV.  Checking  under  sisterhood  

Now  Agree  (i.e.  feature  checking)  is  fully  compa3ble  with  selec3on.  Recall  the  Principle  of  Containment  of  Syntac3c  Informa3on  (CSI):  syntac'c  informa'on  may  not  disappear  in  the  tree  (i.e.  all  syntac'c  features  percolate).    §  By  defini\on,  interpretable  features  can  never  percolate  

beyond  their  maximal  projec\on.  

§  Uninterpretable  features  always  percolate  up,  un\l  they  stand  in  a  sisterhood  rela\on  with  a  matching  interpretable  feature.  

This  derives  Upward  Agree!    

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XV.  Checking  under  sisterhood  

§  Assume  that  all  Wh-­‐elements  carry  a  feature  [D:  Wh]  and  a  feature  [uQ];  and  that  interroga\ve  C  carries  a  feature  [uWh]    and  [Q].  Then,  the  Wh-­‐elements  can  have  its  [uQ]  feature  checked  off  in  situ  by  percola\ng  it  up  \ll  the  C-­‐level:  

     C[uWH]    

   C[Q][u:  Wh]    T[uQ]            T    vP[uQ]    

       v    VP[uQ]    

         V[uD]      DPWH[D:  Wh][uQ]      

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XV.  Checking  under  sisterhood  

§  Movement  is  subsequently  triggered  by  the  need  to  check  the  higher  [u:  Wh]  feature  on  C:    

   C  

 DPWH[D:  Wh][uQ]  C[uWH]      

 C[Q][u:  Wh]    T[uQ]            T    vP[uQ]    

       v    VP[uQ]    

         V[uD]      DPWH[D:  Wh][uQ]      

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XV.  Checking  under  sisterhood  

Summing  up:    §  The  proposal  is  fully  compa\ble  with  uninterpretable  features  

triggering  both  selec\on  and  (Upward)  Agree  

§  Upward  Agree  follows  directly  from  the  proposal  (it  was,  in  fact,  developed  as  a  mo\va\on  to  derive  the  asymmetric  nature  of  Upward  Agree).  

§  Note:  Agree  is  not  the  same  as  agreement;  not  every  checker  (fully)  values  its  checkee;  in  those  cases  alterna\ve,  lower  valuers  may  complete  the  valua\on  process.  

       

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Selec3on  in  the  V-­‐domain  

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XVI.  Selec3on  in  the  V-­‐domain  

So  far,  the  proposal  predicts  that  every  selector  forms  the  label.  However,  this  is  not  par3cularly  clear  for  VP-­‐internal  selec3on.  

§  Are  the  selec\onal  requirements  of  a  V  s-­‐selec\onal  or  c-­‐selec\onal  requirements?  For  this  proposal  it  is  necessary  that  V  selects  its  arguments  syntac\cally,  not  seman\cally.  Otherwise  the  label  of  merger  of  V  and  D  can  never  be  V.  

§  How  do  case  proper\es  fill  in?  For  this  proposal,  again,  it  is  necessary  that  selected  DPs  do  not  check  their  selec\ng  heads  in  return  (as  is  o{en  assumed  in  case  theory).  

       

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XVI.  Selec3on  in  the  V-­‐domain  

Roadmap:  

§  Show  that  every  V  c-­‐selects  no  more  than  one  DP  argument.  

§  Show  that  case  requirements  stem  from  the  fact  that  Vs  cannot  select  more  than  one  DP  argument.  

       

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XVI.  Selec3on  in  the  V-­‐domain  

The  idea  that  verbs  do  not  c-­‐select,  but  rather  s-­‐select  (DP)  arguments  comes  from  two  reasons:  

§  Vs  o{en  select  non-­‐DP  arguments,  but  PP  or  CP  arguments:  

 Mary  knows  Bill    Mary  knows  about  Peter    Mary  knows  that  Theo  is  ill  

 

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XVI.  Selec3on  in  the  V-­‐domain  

The  idea  that  verbs  do  not  c-­‐select,  but  rather  s-­‐select  (DP)  arguments  comes  from  two  reasons:    §  Not    every  DP  is  selected  as  an  argument    

 John  works  this  week    As  the  la5er  type  of  argument  could  be  analysed  in  terms  of  covert  preposi\ons  ([PP  P  [DP  this  week]])  (cf.  Corver  2015),  we  focus  on  the  first  argument,  which  is  generally  taken  to  be  the  strongest  argument  against  c-­‐selec\on.  

       

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XVII.  PP  arguments  

However,  as  shown  before,  PP  arguments  do  not  require  any  V  to  select  them;  PPs  select  VPs  (or  elements  headed  by  [Pred]  features).      

   V      {{[V]}}    

       V    PP    {{[V]}}    {{[V]},{[uV]}}      sleep    in  the  bed  

         

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XVII.  PP  arguments  

In  fact,  even  if  V  selects  for  a  DP  argument,  it  can  be  modified  by  a  PP  argument  as  well:      

   V      {{[V]},  {[uD]}}    

       V      PP    {{[V]},  {[uD]}}    {{[V]},{[uV]}}      sleep      in  the  bed  

         

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XVII.  PP  arguments  

Under  this  proposal,  Verbs  do  not  syntac3cally  select  for  PP  arguments  (or  adjuncts),  but  they  can  be  modified  by  PPs.    §  PP  arguments  and  PP  adjuncts  are  syntac\cally  iden\cal;  their  

differences  follow  from  the  (different)  seman\c  proper\es  of  argument  and  adjunct  PPs  and  the  the  verb.  

§  At  the  same  \me  the  ques\on  arises  if,  and  of  so,  how  the  argument-­‐adjunct  dis\nc\on  of  PPs  is  syntac\cally  reflected.  

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XVII.  PP  arguments  

PP  adjuncts  and  PP  arguments  of  a  verb  can  be  syntac3cally  dis3nguished,  as  long  as  this  verb  also  selects  for  a  DP.    §  A  PP  sister  of  a  verb  behaves  argumental  if  it  is  merged  before  

the  verb  selects  other  arguments:    

               V          {{[V]}}    

       V      D      {{[V]},  {[uD]}}      {{[D]}}                she    V      PP    {{[V]},  {[uD]}}    {{[V]},{[uV]}}      count      on  Mary  

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XVII.  PP  arguments  

PP  adjuncts  and  PP  arguments  of  a  verb  can  be  syntac3cally  dis3nguished,  as  long  as  this  verb  also  selects  for  a  DP.    §  A  PP  sister  of  a  verb  behaves  adjunct-­‐like  if  it  is  merged  a{er  

the  verb  selects  other  arguments:    

               V          {{[V]}}    

       V      PP        {{[V]}}      {{[V]},{[uV]}}              in  the  garden      V      D    {{[V]},  {[uD]}}    {{[D]}}      count      she  

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XVIII.  CP  arguments  

So,  PPs  do  not  form  an  argument  against  c-­‐selec3on  of  Vs.    §  Hence,  the  only  argument  against  c-­‐selec\on  is  the  difference  

between  DP  arguments  and  CP  arguments.  

§  In  order  to  assess  these  differences,  first  it  must  be  established  what  the  syntac\c  features  of  CP  arguments  are.  

§  Most  crucially,  it  should  be  determined  what  the  differences  and  correspondences  between  (argument)  CPs  and  (argument)  DPs  are.  

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XVIII.  CP  arguments  

Closer  scru3ny  shows  that  (argument)  CPs  share  a  number  of  prototypical  proper3es  of  (argument)  DPs.    §  They  control  (3rd    singular)  agreement:  That  it  rains  is  clear.  

§  They  can  be  referred  to  by  pronouns:  That  (John  is  ill)  I  know.  

§  They  have  case  (in  a  clause  with  a  CP  subject,  the  DP  receives  dependent  case):  That  Bill  le{  Susanne  shocked  her.  

Note  that  this  not  necessarily  apply  to  every  CP.  It  only  holds  for  those  CPs  that  can  be  used  as  (verbal)  arguments.  

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XVIII.  CP  arguments  

CPs  differ  from  DPs  in  the  sense  that  complemen3zers  select  clauses  (TP,  vP,  VP).  Focusing  on  (argumental)  that-­‐CPs:    §  That  selects  a  TP  

§  The  merger  of  that  and  a  TP  behaves  like  a  DP  

§  On  these  grounds,  it  makes  sense  to  think  of  complemen\zers  like  that  as  elements  that  change  TPs  into  DPs.  (Note  that  the  pronominal  nature  of  complemen\zers  has  been  proposed  earlier  by  Kayne  1994,  among  others).  

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XVIII.  CP  arguments  

Proposal:  that  carries  {{[D]},  {[uT]}}.        

   CP  =  DP      {{[D]}}    

       C  =  D      TP    {{[D]},  {[uT]}}    {{[T]}}      that      John  le{  

         

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XVIII.  CP  arguments  

But  this  means  that  every  verb  that  selects  a  DP  or  CP  argument  must  carry  [uD]  (cf.  Wurmbrand).  The  lexical  seman3cs  of  these  verbs  determines  whether  the  argument  is  an  individual  or  a  proposi3on.    §  But  now  the  ques\on  arises  as  to  how  verbs  that  select  for  

mul\ple  (DP)  arguments  encode  these  selec\onal  proper\es  

§  In  order  to  address  this  turn  ques\on  it  is  necessary  to  discuss  case.  

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IXX.  Case  

The  final  desideratum  for  a  labelling  theory  is  how  to  deal  with  case.  Under  the  Chomskyan  view  that  case  manifests  an  Agree  rela3on  between  a  DP  and  some  (func3onal)  head,  our  proposal  faces  severe  problems.    §  To  see  this,  assume  that  accusa\ve  case  is  [uv].  

§  Once  [uv]  is  the  sister  of  v  (carrying  [v])  their  merger  would  be  labelless:  

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IXX.  Case  

The  result  would  yield  an  element  that  lacks  any  (interpretable)  feature:      

       …            v[v][uV]      VP[V][uv]      

       V[V][uD]        DP[D][uv]    

 

§  Note  that  assigning  v  a  [uD]  feature  would  not  solve  the  problem,  as  then  merger  with  a  DP  would  then  render  the  merger  labelless  again.            

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IXX.  Case  

Of  course,  this  problem  can  be  circumvented  by  ad  hoc  solu3ons;  e.g.,  accusa3ve  reflects  some  feature  [uCase]  that  at  PF  is  realized  as  dependent  accusa3ve  case:      

       v[v]            v[v][Case][uV]    VP[V][uCase]      

       V[V][uD]        DP[D][uCase]      

 

§  But  apart  from  lacking  independent  mo\va\on,  this  solu\on  is  problema\c  for  a  number  of  other  reasons.  

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IXX.  Case  

§  No  principled  mo\va\on  for  [(u)Case]  features  

§  Not  clear  whether  case  reflects  Agree  (cf.  Marantz  1990,  Baker  2015)  

 §  No  understanding  why  DPs  should  exhibit  structural  case  in  

the  first  place.            

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IXX.  Case  

Major  problem  for  any  case  theory:    §  Morphological  case  seems  to  be  PF-­‐determined  (cf.  Marantz  

1990,  Bobaljik  2008,  Legate  2008).    §  But  DPs  require  licensing  by  some  func\onal  head  (generally  

captured  by  syntac\c  Agree):  structural  case.  

§  Is  there  any  way  how  the  DP  requirement  to  be  licensed  by  a  func\onal  head  can  follow  without  encoding  this  in  a  direct  feature-­‐checking  rela\on?  

         

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IXX.  Case  

Answer:  yes,  there  is.  Let’s  solve  this  problem  with  the  previous  ques3on:  what  happens  with  verbs  selec3ng  for  mul3ple  DP  arguments.      §  Suppose  that  a  verb  selects  two  DP  arguments:    §  Such  a  verb  cannot  carry  two  [uD]-­‐features:  

 {{[V]},  {[uD],  [uD]}}  =  {{[V]},  {[uD]}}      

         

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IXX.  Case  

In  order  to  be  able  to  select  for  more  than  one  DP  argument,  a  verb  needs  to  merge  with  another  DP-­‐selec3ng  element  (P  or  v):    

   v[v]      

 DP[D]      v[v][uD]              v[v][uD][uV]      V[V]      

       V[V][uD]        DP[D]  

   

         

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IXX.  Case  

Indeed,  every  licenser  of  structural  case  is  a  head  that  selects  for  (phi-­‐valued)  DPs:  Finite  T,  v,  P.    §  The  func\on  of  introducing  a  head  that  can  ‘assign’  structural  

case  is  nothing  but  selec\ng  a  new  DP.    

   v[v]      

 DP[D]      v[v][uD]              v[v][uD][uV]      V[V]      

       V[V][uD]        DP[D]  

   

         

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IXX.  Case  

Structural  case  follows  from  the  requirement  that  DPs  need  to  be  selected.      §  Even  if  seman\cally  a  verb  allows  for  mul\ple  arguments,  

syntac\cally  it  cannot  select  mul\ple  DPs,  given  that  the  set  of  selec\onal  features  is  unordered.  

§  However,  such  an  intui\on  of  what  is  behind  structural  case  is  only  valid  if  non-­‐DP  selec\ng  elements  cannot  be  merged  with  DP.  

     

         

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IXX.  Case  

It  needs  to  be  prevented  that  DPs  (and  other  elements)  do  not  merge  with  elements  that  do  not  select  them:    

 *  N-­‐D[N][D]        

 N    D    [N]      [D]        

§  There  are  various  ways  of  implemen\ng  this.  The  most  straigh�orward  one  would  be  to  allude  to  the  more  general  constraint  on  Merge  that  it  may  only  take  place  if  it  leads  to  feature  checking  (cf.  Pesetsky  &  Torrego  2006,  Wurmbrand  2014).  

   

         

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IXX.  Case  

Finally,  note  that  of  structural  case  amounts  to  ac3ve  phi-­‐feature  values,  every  DP  carrying  structural  case  cannot  be  in  the  specifier  of  non-­‐valued  T  (if  non-­‐finite  T  indeed  means  unvalued  T):    

 *  T        

 D    T    [D:  p,  n]    [uD:  ∅,∅]        

§  Together,  this  yields  the  pa5ern  that  valued  DPs  must  stand  in  a  feature  checking  rela\on  with  either  finite  T,  v  or  P,  which  is  the  classical  structural  case  requirement.  

   

         

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IXX.  Case  

Under  this  proposal,  structural  case  is  nothing  but  the  requirement  that  every  DP  is  to  be  selected,  i.e.  to  be  merged  with,  an  element  carrying  [uD].  This  correctly  predicts  that    §  Every  known  ‘case-­‐assigner’  (P,  finite  T,  v)  is  an  element  

selec\ng  for  DPs.  

§  DPs  must  Merge  with  these  selectors.  

§  If  the  difference  between  elements  carrying  structural  case  and  inherent  case  is  that  only  elements  with  structural  case  have  syntac\cally  ac\ve  phi-­‐values,  every  agreement  probe  agrees  with  the  closest  DP  ‘carrying’  structural  case  (cf.  Bobaljik  2008).  

   

         

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IXX.  Case  

Now  we  can  also  address  the  previous  ques3on:  which  verb  select  for  DPs  (i.e.,  carry  a  [uD]  feature)?    §  If  all  arguments  need  to  be  base-­‐generated  inside  the  VP;  if  

every  DP  needs  to  be  selected;  and  if  every  verb  requires  one  DP  subject,  each  verb  must  carry  a  feature  [uD].  

§  Every  transi\ve  verb  has  an  addi\onal  v-­‐head,  selec\ng  a  second  (higher)  argument.  

§  PP  arguments  are  no  arguments  in  the  strict  sense  (but  rather  modifiers).  Verbs  with  PP  objects  are  strictly  speaking  intransi\ve.  The  structural  posi\on  of  a  PP  s\ll  determines  its  status  of  argument/adjunct.  

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IXX.  Case  

This  way,  we  even  further  conjecture  that  DP-­‐selec3on  is  what  renders  a  predicate  being  a  verb.    §  V  =  {{[Pred]},  {[uD]}}  

Analogically,  Nouns  should  then  be  predicates  that  select  for  finite  tense  (cf.  Pesetsky  &  Torrego  2006):  

§  N  =  {{[Pred]},  {[uT:  fin]}}    But  this  poten\al  extension  is  le{  for  future  work  (with  many  other  things).      

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Conclusions  

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XX.  Conclusions  

The  proposal  for  a  labelling  algorithm:    §  Mo\vates  why  the  selector  projects  §  Can  account  for  labelling  in  all  configura\ons  (including  adjunc\on)  

§  Can  overcome  the  ordering  problem  §  Can  account  for  the  differences  between  selec\on  and  agree    §  Can  circumvent  the  problems  rela\ng  s-­‐selec\on  vs  c-­‐selec\on  and  mutual  selec\on  (e.g.  with  case)  

     

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XX.  Conclusions  

Moreover,  it  provides:    §  A  principled  understanding  of  a  syntax-­‐internal  labelling  mechanism  

§  A  mo\va\on  why  Agree  (in  the  sense  of  feature  checking)  applies  in  an  upward  fashion  

§  A  mo\va\on  why  DPs  need  to  be  licensed  by  func\onal  heads  (a.k.a.  structural  case)  

§  A  severe  reduc\on  of  the  set  of  formal  features  (essen\ally  T,  D  and  Pred,  and  their  underlying  feature  values)  

     

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THANK    YOU!