I am of the strong opinion that most technological advancement that is mistaken for endless exponential improvement (eg Moore's law) actually follows a physical sigmoidal curve. I also agree that "the singularity" is a belief based proposition and I personally think it amounts to techno-woo.
However, one interesting argument for continuation of technological advancement beyond what we might call "singularity" levels today. If technology maintains an exponential tragectory for another century or so through a few more breakthroughs then we would have some amazing tech.
So, it is not required that tech advancement is exponential -- as long as we are still early enough in the sigmoidal curve that more exponential (and linear) advancement is still to come. With biotech, quantum and the algorithmic side of AI I think we still have quite a bit of advancing to do. That said, the singularity stuff is still ridiculous woo woo.
However, one interesting argument for continuation of technological advancement beyond what we might call "singularity" levels today. If technology maintains an exponential tragectory for another century or so through a few more breakthroughs then we would have some amazing tech.
So, it is not required that tech advancement is exponential -- as long as we are still early enough in the sigmoidal curve that more exponential (and linear) advancement is still to come. With biotech, quantum and the algorithmic side of AI I think we still have quite a bit of advancing to do. That said, the singularity stuff is still ridiculous woo woo.