Suggestion

noun

1. Something suggested (with subsequent adposition being for)

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

2. The act of suggesting.

   "Suggestion often works better than explicit demand."

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

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

4. 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.
5. Information, insinuation, speculation, as opposed to a sworn testimony and evidence