Thought Count

First, the question: If science were perfect, would it be possible to look at a brain and tell (merely by physical aspects) exactly what it was thinking?

If your answer is yes, then there is another (less attractive) idea you are supporting as well: a finite number of thoughts.

If thoughts are merely a specific arrangement of some kind of elementary particle (we'll say atoms, for simplicity) then there is a finite number of arrangement possibilities for those particles. Yes, it's an extraordinarily large number, but there is still a cap, a maximum number of thoughts.

Which is more likely: that there is a finite number of "possible thoughts", or that there is a non-physical aspect of thoughts yet to be discovered?