While using the unique time ability unknowingly, Kranos had thought of many things and simulated countless events in his mind. With that, he was able to come to a conclusion on certain things. He could faintly guess that this wasn't the real world. Realising this, Kranos also understood that this world tampered with his mind greatly.
In order to truly live he had to… overcome the world!
It wouldn't be that easy, so whenever Kranos used rapid thought to think on these things and simulate countless possibilities, he wrote them down… After the period of rapid thought passed and he forgot everything, he would easily be able to recall them and continue his simulation from where he stopped the previous time.