How real are the real numbers, really?

The video explores Achilles' journey through fractions, highlighting the concept of infinity. It delves into the nature of fractions, irrational numbers, and real numbers, explaining their importance in mathematics. The video discusses calculating speed using infinitesimals and the role of real numbers in calculus. It concludes with the introduction of hyper-reals and a segue into astrophysics, questioning the infinity of the universe.

What new insight or understanding did you gain from this video?