Sweeping statements

I am grading university student papers. Their task was to write about the application of mathematics in other subjects, after watching some lectures by mathematicians in industry who talk about their work. I won't inflict the students' bad grammar or terrible style on you, but let me quote some of their sweeping statements:

Student 1: Society is changing exponentially!
Me: Do you really mean that all social change is exponential? If so, how do you know?

Student 2: All phenomena in nature and society can be modeled mathematically!
Me: I suppose this is technically true if you allow for bad models with no relation to reality, but otherwise, citation extremely needed.

Student 3: In the future, humanity will keep all their knowledge about mathematics, and the subject will continue to develop!
Me: How do you know that?

I don't know what genre they think they're writing in. Some sort of...advertisement for mathematics? *feels grumpy*