WordNet (r) 3.0 (2006):

set down
    v 1: put down in writing; of texts, musical compositions, etc.
         [syn: write down, set down, get down, put down]
    2: reach or come to rest; "The bird landed on the highest
       branch"; "The plane landed in Istanbul" [syn: land, set
       down]
    3: put or settle into a position; "The hotel was set down at the
       bottom of the valley"
    4: cause to sit or seat or be in a settled position or place;
       "set down your bags here" [syn: set down, put down,
       place down]
    5: go ashore; "The passengers disembarked at Southampton" [syn:
       disembark, debark, set down] [ant: embark, ship]
    6: leave or unload; "unload the cargo"; "drop off the passengers
       at the hotel" [syn: drop, drop off, set down, put
       down, unload, discharge]

Moby Thesaurus II by Grady Ward, 1.0:

173 Moby Thesaurus words for "set down":
   abase, abash, account for, accredit with, accrete to, acknowledge,
   admonish, affirm, allege, announce, annunciate, apply to, argue,
   ascribe to, assert, assever, asseverate, assign to, attach to,
   attribute to, aver, avouch, avow, blame, blame for, blame on, book,
   bring down, bring home to, bring low, bring to book, calendar,
   call to account, carve, catalog, chalk, chalk up, charge on,
   charge to, chastise, check in, chide, chronicle, confess,
   connect with, contend, correct, credit with, crush, cut, debase,
   declare, degrade, demean, deposit, diminish, docket, dump, dump on,
   engrave, enroll, enscroll, enter, enunciate, express, fasten upon,
   father upon, file, fill out, fix on, fix upon, grave, hang on,
   have, have words with, hold, impanel, impute to, incise, index,
   inscribe, insert, insist, issue a manifesto, jot down, land, lay,
   lay down, lay to, lecture, light, list, lodge, log, lower,
   maintain, make a memorandum, make a note, make an entry, make out,
   manifesto, mark down, matriculate, minute, note, note down,
   objurgate, perch, pin on, pinpoint, place upon, place upon record,
   point to, poll, post, post up, predicate, proclaim, profess,
   pronounce, protest, put, put down, put in writing, put it,
   put on paper, put on tape, rate, rebuke, record, reduce,
   reduce to writing, refer to, register, repose, reposit, reprehend,
   reprimand, reprove, rest, roost, saddle on, saddle with, say,
   scold, set down to, set straight, settle, settle upon, sit down,
   spank, speak, speak out, speak up, stand for, stand on, state,
   straighten out, submit, tabulate, take down, take to task, tape,
   tape-record, touch down, trip up, upbraid, videotape, write,
   write down, write in, write out, write up