Word-lovers only: Ok, these paradoxes are a ''time suck'' but
  I'm having fun. Here, from Wikipedia is a long list of examples
  of words that can mean exactly opposite things:

  ''All but'' can mean ''except for'' or ''almost entirely''.

  ''Apparent'' can mean ''obvious'' or ''seeming, but in fact
  not''.

  ''Awful'' can mean ''worthy of awe'' or ''very bad''.

  ''Back'' can mean ''regressive'' as in ''to go back in time'',
  or it can mean ''progressive'' as in ''to push back a
  deadline''.

  ''Buckle'' can mean ''fasten securely'' as in ''buckle your seat
  belt'', or it can mean ''fall apart'' as in ''buckle under
  pressure''.

  ''Catholic'' can mean ''wide-ranging, liberal'', as in
  ''catholic tastes'', or ''conservative'', as in ''Catholic
  views'' (usually capitalized as this meaning is derived from the
  Catholic Church).

  ''Chuffed'' can mean ''displeased; disgruntled'' or ''pleased;
  satisfied.''

  ''Citation'' can mean ''commendation'' or a ''summons to appear
  in court''.

  ''To cleave'' can mean ''to cling'' or ''to split''.

  ''To dust'' can mean to remove dust (cleaning a house) or to add
  dust (dust a cake with powered sugar).

  ''Egregious'' can mean ''very bad'' or, in an archaic sense,
  ''very good''.

  ''To enjoin'' can mean ''to prohibit, issue injunction'' or ''to
  order, command''.

  ''Eponym'' can mean ''name of a person that has given rise to
  the name of something'' and ''word derived from a person's
  name''.

  ''Fast'' can mean ''moving quickly'' as in ''running fast,'' or
  it can mean ''not moving'' as in ''stuck fast''.

  ''To fight with someone'' can mean ''to fight against someone''
  or ''to fight alongside someone''.

  ''Impregnable'' can mean ''able to be impregnated'' or
  ''incapable of being entered''.

  ''Literally'' can mean ''word for word, not metaphorically or
  idiomatically'', but is also often used in non-standard language
  as an intensifier for figurative statements, ending up roughly
  synonymous with ''virtually, figuratively''.

  ''Moot'' can mean worthy of discussion or not worthy of
  discussion.

  ''Nonplussed'' can mean surprised and confused, but has come to
  mean unperturbed in North American English.

  ''To overlook'' can mean ''to inspect'' or ''to fail to
  notice''.

  ''Oversight'' (uncountable) means ''supervision'', ''an
  oversight'' (countable) means ''not noticing something''.

  ''Off'' can mean ''deactivated'' as in ''to turn off'', or it
  can mean ''activated'' as in ''the alarm went off''.

  ''To peruse'' can mean ''to examine in detail'', or ''to look
  over in a cursory manner''

  ''Ravel'' can mean to combine thread or to separate it.

  ''Redundant'' can mean ''useless'' or ''extra caution''.

  ''Refrain'' means both non-action and the repetition of an
  action, e.g. in musical notation.

  ''To rent'' can mean ''to borrow from'' or ''to lend to''.

  ''Resign'' can mean ''give up or quit'' or ''continue''.

  ''To sanction'' can mean ''to permit'' or ''to punish''.

  ''Shelled'' can mean ''having a shell'' or ''has had the shell
  removed'' (as in shelling).

  ''To skin'' means ''to cover with skin'' (as in to skin a drum)
  as well as ''to strip or peel off'' (as in to skin an animal).

  ''To stay'' can mean ''to remain in a specific place, to
  postpone'' or ''to guide direction, movement''.

  ''To stint'' means ''to stop'', but the noun ''stint'' refers to
  the interval of work between stops.

  ''Strike'', in baseball terms, can mean ''to hit the ball'' or
  ''to miss the ball''.

  ''Terrific'' can mean ''very good'' or ''very bad''.

  ''Unpacked'' can refer to a container with objects still in it,
  or a container with the objects removed.

  ''To weather'' can mean ''to endure'' (as in a storm) or ''to
  erode'' (as in a rock).

  ''Weedy'' can mean ''overgrown'' (''The garden is weedy'') or
  stunted (''The boy looks weedy'').

  ''Yield'' can mean ''to produce'' (as in a chemical equation) or
  ''to concede'' (as in driving).