I think "stream of consciousness" describes something a little different. Keep in mind that it is a metaphor, not intended to claim that there is actually a "stream" that really exists somewhere. Present conditions are brought about by past conditions, and future conditions arise from the present ones. There is a quasi-causal continuum of phenomena, but phenomena are not entities. The mind evolved to be what is is because it helped our ancestors survive. The mind is less concerned with truth than survival. A useful fiction will survive as long as it aids survival and reproductive competitiveness. Nevertheless, there is the possibility of understanding what the mind is doing and seeing the fiction for what it is, I think. And I think that's what the Buddha was trying to teach us how to do.