Those of you who have used psychedelics might have personal experience with this question.

There can be moments of lucidity during a psychedelic session where it's easy to think of discrete collections as systems, and to imagine those systems behaving with specific coherent strategies. Unfortunately, an hour or two later, the feeling disappears. But it leaves a memory of briefly understanding something that can't be understood. It's frustrating, yet profound. I assume this is where feelings of oneness with the universe, etc., come from.