I'll try to define it. I have a lot of examples, but getting to an accurate description ... it seems to about assigning meaning to things where no such meaning can be shown. Examples follow. I'll avoid religious based ones which are easier, but we're talking about atheists.
I need something and it suddenly becomes available. Logical deduction, it happened by chance, or my concentration on the need made me more aware of things around me. Magic thinking, something mysterious happened to direct me to that thing.
I just miss colliding with another car. Logical deduction, there are many factors involved, this time they came together to avoid the accident. Magic thinking, there is some kind of power that looks after me.