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.
(..) You can control your own metabolism? It's amazing. it's like all things that make us human are fading away. they're all exploding inside my brain, all these knowledge... If you're asking me...what to do... You know... if you think about the very nature of life... I mean, from the very begining... (..)2014 Lucy
(..) On the other hand, if the habitat is favorable, they will choose to reproduce. That way, when they die, they hand down essential information and knowledge to the next cell which hands it down to the next cell and so on. Thus, knowledge and learning all handed down thru' time. OK, OK, keep calm... (..)2014 Lucy