suggestion

noun

• Something suggested (with subsequent adposition being for)

  "I have a small suggestion for fixing this: try lifting the left side up a bit."

• The act of suggesting.

  "Suggestion often works better than explicit demand."

• Something implied, which the mind is liable to take as fact.

  "He's somehow picked up the suggestion that I like peanuts."

• The act of exercising control over a hypnotised subject by communicating some belief or impulse by means of words or gestures; the idea so suggested.
• Information, insinuation, speculation, as opposed to a sworn testimony and evidence