When narrowing uncertainties, deductive reasoning can be more
  helpful than inductive.

  I think in the application of deductive reasoning, however,
  parallel threads are important. I consider reasoning akin to
  navigating a maze.

  If one can follow several likes of deductive reasoning
  simultaneously - or split up the task, then elimination of
  improbabilities won't be necessary, as there will be some that
  navigate the more narrow, less likely passageways.

  The main line of deductive reasoning may well be correct in the
  end, but I think of criminal work or solving mysteries for
  example; as new facts enter into the case, very sophisticated
  lines of deductive reasoning may have to take a lower peg in the
  chain of priority, although still being followed. Sometimes
  rejecting the entire line of reasoning based on a single piece
  of evidence turns out to be hasty as well. It's why I believe in
  parallel threads.

  I don't believe in elimination of improbabilities entirely but
  rather lowering them in priority, for sometimes the improbable
  is simply missing a single datum.