The Great Mathematicians of the Early 1900s Ran into an Unsolvable Problem. They Realized Math Made No Sense

History Unplugged Podcast · Dec 16, 2025 · 45m

In the 1800s, it seemed like mathematics was a solved problem. The paradoxes in the field were resolved, and even areas like advanced calculus could be taught consistently and reliably at any school. It was clearly understandable in a way that abstract fields like philosophy weren’t, and it was on its way to solving humanity’s problems. Mathematical work on electromagnetism made modern electrical engineering and power systems possible. New research in algebra created the logical basis for future computer science and digital circuits.

But then new problems appeared. In the early…