dilemma vs mire

dilemma

noun
  • A difficult circumstance or problem. 

  • A type of syllogism of the form "if A is true then B is true; if C is true then D is true; either A or C is true; therefore either B or D is true". 

  • A circumstance in which a choice must be made between two or more alternatives that seem equally undesirable. 

  • Offering to an opponent a choice between two (equally unfavorable) alternatives. 

mire

noun
  • An undesirable situation, a predicament. 

  • Deep mud; moist, spongy earth. 

verb
  • To cause or permit to become stuck in mud; to plunge or fix in mud. 

  • To sink into mud. 

  • To weigh down. 

  • To soil with mud or foul matter. 

How often have the words dilemma and mire occurred in a corpus of books? (source: Google Ngram Viewer )