Reincarnation from a Non-Dualist Point of View
Non-dualism is a teaching that is first found in the Vedas. Sri Sankaracharya (788 – 800AD) put together these teachings in the book Viveka Chudamani or Crest Jewel of Discrimination or Crown Jewel of Wisdom. The teaching came to be called Advaita Vedanta. Advaita means not two. It does not mean one, as one implies one of many.
The first fundamental proposition in the proem of the Secret Doctrine is a statement of non-dualism or Advaita. “An Omnipresent, Eternal, Boundless, and Immutable Principle on which all speculation is impossible, since it transcends the power of human conception and could only be dwarfed by any human expression or similitude. It is beyond the range and reach of thought — in the words of Mandukya, “unthinkable and unspeakable.” It is the foundational premise of Advaita Vedanta that there is only this Absolute. This Absolute is who or what you truly are. All else is Maya or illusion.
An Advaitee would say that reincarnation could only happen in a relative, manifested, dualistic reality. Who you truly are cannot possibly reincarnate because you are outside of time and space. You are All That Is. You were never born and will never die.