Hi Dicky,
Yes...many people are surprised to learn that Buddha never actually taught the idea of Anatma (sanskrit) or Annata (Pali). He didn't write a single word and no one knows what he actually taught.
Hi Sriram
At least we can agree that we cannot know what the Buddha actually taught, because of the long interval between his life and the recording of his purported sayings. It's a fine point, but the fact is, he
may have taught it, and he may not have.
As regards the authenticity of the Theravada versus the Mahayana schools, we could argue till the cows come home (I parted company with Buddhist thought decades ago, except for a few practical ideas). As for what is supposed to be reborn on the path to Nirvana, according to the Theravada school, I always thought that this was considered to be the Skandhas (aggregates of personality), which have no permanent form, and thought only to perpetrate the sense of a self, if we persist in being attached to them. I thought this idea was taken over in Mahayana thought.
The main difference between the two branches of Buddhism, as far as I'm concerned, is that Theravada is dualistic and world-rejecting, whereas Mahayana is monistic and life-affirming (Nirvana - the formless -
is Samsara - the world of change)*
I suppose this would accord with certain Hindu ideas of theological monism, which seem a kind of pantheism.
Then there is the teaching in the Advaita Vedanta school of Hinduism that Atman (the human soul)
is Brahman (the divine soul). There doesn't seem to be much room for a real individual human soul in such a view. And indeed, I once heard an Indian Hindu pundit over here say "Brahman is the
only reincarnator".
As for our own individual selves, I now take a purely materialist, evolutionary view: there is ultimately no such thing as a real self, but we have evolved with various appetites and ultimately self-consciousness which create the illusion of self. It does help everyday living if we treat this illusion as a practical reality, I find
*The Bodhissatva ideal is also important and attractive: the enlightened individual who gives up his ultimate salvation in order to help suffering humanity.