I answered their questions 'to the best of my knowledge'. [=I gave the best answers I could based on what I knew, but I might have answered differently if I had known something else]
No one arrived late 'to my knowledge'. [=I am not aware that anyone arrived late, but it is possible that someone arrived late and I don't know about it]
They went on vacation, 'safe in the knowledge' that the farm would be well cared for while they were away.
(..) I can't stay down here, Alfred. Go upstairs and socialize. Some young lady from Metropolis will make you honest. In your dreams, Alfred. Books are knowledge, and knowledge is puff worth. And I am... Heh heh heh, no. I, umm. No, what am I? Alright, what am I suppose to say? No. The bitter sweet pain among man is having knowledge with no power. Because... Because that is paradoxical, and umm... Thank you for coming. Please, drink, it's free. (..)2016 Batman v Superman: Dawn of Justice