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  CHAPTER 2 Small Prefixes: Radial Category Profiling We  open  this  chapter  by  stating  the  corollaries  of  the  Empty  Prefix  and   Overlap  Hypotheses  that  we  will  test.  We  then  discuss  our  model  of   meaning  and  describe  our  methodology  in  detail  before  turning  to  our   analysis.  This  chapter  focuses  on  the  eleven  “small”  prefixes  that  form   the  fewest  numbers  of  Natural  Perfectives,  as  identified  in  section  1.4   using  data  from  the  Exploring  Emptiness  database:  v-­‐‑,  pod-­‐‑,  pere-­‐‑,  pri-­‐‑,   ot-­‐‑,  v(o)z-­‐‑,  u-­‐‑,  iz-­‐‑,  raz-­‐‑,  vy-­‐‑,  o(b)-­‐‑.     2.1. Corollaries to Be Tested     Corollary  1  of  the  Empty  Prefix  Hypothesis:  Because  prefixes   have   no   meaning   in   Natural   Perfectives,   we   expect   to   find   no   pattern  matching  the  meanings  of  a  prefix  in  other  perfectives   with  the  meanings  of  the  simplex  verbs  that  form  Natural  Per-­‐‑ fectives  with  the  same  prefix.         Corollary  1  of  the  Overlap  Hypothesis:  Because  prefixes  retain   their   meaning   in   Natural   Perfectives,   we   do   expect   to   find   a   pattern  matching  the  meanings  of  a  prefix  in  other  perfectives   with  the  meanings  of  the  simplex  verbs  that  form  Natural  Per-­‐‑ fectives  with  the  same  prefix.     More  simply,  we  could  say  that  the  Empty  Prefix  Hypothesis  pre-­‐‑ dicts   that   we   should   find   no   systematic   relationship   between   the   meanings   of   prefixes   and   the   meanings   of   simplex   verbs   in   Natural   Perfectives,  whereas  the  Overlap  Hypothesis  makes  the  opposite  pre-­‐‑ diction,   namely   that   systematic   relationships   between   prefixal   and   verbal  meanings  should  be  evident.     The  two  hypotheses  are  tested  via  a  two-­‐‑step  process  in  which  the   meanings  of  a  prefix  are  first  established  on  the  basis  of  usage  where   everybody   agrees   that   there   is   meaning   present,   namely   the   Special-­‐‑ 20 SMALL PREFIXES: RADIAL CATEGORY PROFILING ized   and   Complex   Act   Perfectives,   and   second   the   meanings   of   the   simplex  verbs  that  form  Natural  Perfectives  with  that  prefix  are  sub-­‐‑ jected   to   a   similar   analysis.   The   results   of   the   two   analyses   are   then   compared   to   check   for   overlap.   Before   going   into   the   details   of   this   methodology   we   must   first,   however,   present   the   model   of   meaning   that  we  use  in  the  analysis.   2.2. The Structure of Meaning: Radial Categories All  scientific  models  reveal  some  properties  and  obscure  others,  and   different   scientific   models   are   better   at   revealing   different   properties   (Lakoff  1987,  Langacker  2006).  For  example,  electromagnetic  radiation   can  be  understood  as  both  particles  and  waves.  If  we  were  to  model  it   just  as  particles,  it  would  be  hard  to  see  the  wave-­‐‑like  properties,  and   conversely  a  model  that  focused  only  on  waves  would  suppress  per-­‐‑ ception   of   particle-­‐‑like   behavior.   Fortunately   modern   theories   of   physics  are  able  to  combine  both  types  of  insights  in  a  single  model.     Scholars  of  linguistics  have  modeled  meaning  in  a  variety  of  ways,   and  the  model  that  we  choose  matters  because  we  need  a  model  that   can   accommodate   the   phenomena   we   are   investigating   and   give   us   useful   insights.   More   specifically,   we   need   a   way   to   determine   whether  there  is  overlap  in  meaning.  If  there  is  overlap  in  meaning,  we   need   a   way   to   determine   when   the   overlap   is   partial   and   when   it   is   complete   (cf.   1.3).   In   the   case   of   partial   overlap,   we   need   to   know   whether  the  overlap  is  patterned  randomly  or  shows  a  systematic  re-­‐‑ lationship.     We   know   that   many,   if   not   most,   linguistic   forms   are   associated   with  not  just  one  meaning,  but  several,  and  this  is  referred  to  as  poly-­‐‑ semy  (Greek  for  “many  meanings”).  Polysemy  is  particularly  charac-­‐‑ teristic  of  Russian  prefixes,  as  we  can  illustrate  with  the  sample  of  Spe-­‐‑ cialized  Perfectives  of  raz-­‐‑  in  Table  1.       [3.144.202.167] Project MUSE (2024-04-24 23:38 GMT)   2.2. THE STRUCTURE OF MEANING: RADIAL CATEGORIES 21 Table  1.  Some  Specialized  Perfectives  and  the     Meanings  Contributed  by  raz-­‐‑1   Simplex   Verb   Gloss  of   Simplex   Verb   raz-­‐‑Prefixed   Verb   Gloss  of   raz-­‐‑ Prefixed   Verb   Meaning   of  raz-­‐‑   пилить/   pilit’   ‘saw’   распилить/   raz-­‐‑pilit’   ‘saw  apart’   APART   топтать/   toptat’   ‘stamp   one’s  feet’   растоптать/   raz-­‐‑toptat’   ‘trample,   crush  by   stamping’   CRUSH   катать/   katat’   ‘roll’   раскатать/   raz-­‐‑katat’   ‘roll  out   (dough)’   SPREAD   дуть/   dut’   ‘blow’   раздуть/   raz-­‐‑dut’   ‘inflate’   SWELL   грузить/   gruzit’   ‘load’   разгрузить/   raz-­‐‑gruzit’   ‘unload’   UN-­‐‑     While  we  see  five  different  meanings  for  the  prefix  raz-­‐‑  in  these  exam-­‐‑ ples,  we  also  get  the  sense  that  there  may  be  some  relationships  among   the  meanings.  SPREAD  and  SWELL,  at  least,  seem  rather  close  in  mean-­‐‑ ing,   and   can   perhaps   be   related   to   APART   and   maybe   to   the   other   meanings  as  well.  Polysemy  thus  presents  us  with  both  a  diversity  of   meanings   and   a   possibility   that   they   might...

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