Usually the thinking is a self-producing process; that is: the process where the thinking creates the reality of the self-image and the world-image, and therewith, the separation of the observer and the observed.
When the Ego is standing in the centre, then the whole of our life, the whole of our perspective on life - rests on the choices we make, and the desire in this process, the movement of time where we are seeking to achieve something, become something, acquire something.
Self-forgetful thinking is thinking, which releases itself from time, because through time the timeless can´t be grasped.
The timeless is the Now, and self-forgetful thinking is thinking which is one with the Now, with the facts, with reality.
That way self-forgetful thinking is not based on the personal or collective images of time, which work in sequences in past or future, but on the universal images, which work in synchronism with the Now.