According to the Dalai Lama:
"In the Buddhist doctrine of selflessness, or "no soul" theory, the understanding is that there is no eternal, unchanging, abiding, permanent self called "soul." That is what is being denied in Buddhism.
Buddhism does not deny the continuum of consciousness. Because of this, we find some Tibetan scholars, such as the Sakya master Rendawa, who accept that there is such a thing as self or soul, the "kangsak ki dak" (Tib. gang zag gi bdag). However, the same word, the "kangsak ki dak", the self, or person, or personal self, or identity, is at the same time denied by many other scholars.
We find diverse opinions, even among Buddhist scholars, as to what exactly the nature of self is, what exactly that thing or entity is that continues from one moment to the next moment, from one lifetime to the next lifetime. Some try to locate it within the aggregates, the composite of body and mind. Some explain it in terms of a designation based on the body and mind composite, and so on.... One of the divisions of [the "Mind-Only"] school maintains there is a special continuum of consciousness called alayavijnana which is the fundamental consciousness."
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