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This paper sketches a phenomenological-structural account of consciousness that distinguishes phenomenal consciousness, subjectivity, and the self. On this account, minimal subjectivity is an inherent feature of human phenomenal consciousness. This minimal subjectivity is then understood as, in Indian Buddhist terms, mere reflexive awareness (svasamvedanamātra), or in Western phenomenological terms, minimal pre-reflective self-awareness. This minimal subjectivity is also distinguished from the richer phenomenon of the sense of self. It is possible to have consciousness without a sense of self, but that consciousness would still be minimally subjective.
Matthew MacKenzie (Sat,) studied this question.