Buddhists have a different understanding of the self than Indian
philosophies. Rather than the existence of a first independent thing
called atman, there was originally conditioned co-production.
Everything existed as harmonious change. Rather than considering it as
an independent thing, Buddhist believe that the self exists in reality
as a combination of processes called skandhas. These five skandhas;
perception, sensation, discriminating conscious, mental tendencies,
and material compostion, all work dependently upon each other and form
the notion of the self, much like the parts of a car are assembled
together to form the car itself. Note, there is no need for the
existence of any "essence" of a car; the mere conception of it is
formed by its parts. So like the car, each experience we have is a
combination of the skandhas, and it is important to realize that the
self is not separate from any of these experiences, it literally is
the experiences. In respect, the self is a process reliant on many
other processes. Our names give us a false sense of permanence by
referring to ourselves as something permanent and hence, by realizing
there is no difference between yourself and other's selves, the value
of compassion naturally follows. Dukkha is also encouraged from these
misinterpretations of the self, and our habits to retain permanence.