And where is the thinker of thoughts, when thoughts appear?
Could you try finding it? Please don't jump to the conclusion that there is none.
Actually look for it, and if there is even a bit of thinker perceived, please
report.
Speaking from direct experience, I don’t know where the thinker of thoughts is. There is just another thought which claims to be the thinker or there is a rationalization that determines that attention is the thinker of thoughts.
There seems to be something aside from the thoughts which is aware of the thoughts. To put it another way, there seems to be something that is aware of “myself” which I want to call “myself” also.
All this being said, I can’t differentiate between the thoughts and the thoughts that claim to be the thinker of thoughts. They seem to inhabit the same landscape whether one thought claims to be the cause or the effect; they are both coming from the same space of “no thought” which is seemingly the space before and after thoughts occur.

