conjecture vs cut ice

conjecture

verb
  • To infer on slight evidence; to guess at. 

  • To guess; to venture an unproven idea. 

noun
  • A statement or an idea which is unproven, but is thought to be true; a guess. 

  • A statement likely to be true based on available evidence, but which has not been formally proven. 

  • A supposition based upon incomplete evidence; a hypothesis. 

cut ice

verb
  • To have influence (on something, especially someone's opinion); to be accepted or tolerated (by). 

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