I've just posted this. Don't know if it would ever reach you.
News seems to be increasingly erratic.
I can't imagine who would deny it, even if not everyone studies it. Of course not everyone can study everything and there are lots of people who focus on problems where continuity is irrelevant. But there have always been people concerned with other areas of AI, where the distinction between discrete and continuous systems cannot be ignored. In vision it is commplace to use mathematics which treats an image as if it were continuous even if it is sampled discretely. Don't think that AI is defined by your favourite text book introduction to expert systems or blocks world planning, or parsing, or by what a Turing machine can do.