A great video discussing what infinity is and its various sizes. A crazy concept that still doesn’t make sense to many. This video introduces the mathematical subject of infinity with simple examples and graphics, while still getting into some depth. In explaining infinity, the video introduces matching, sets, irrational numbers, and proofs that there are unanswerable questions.
- What is matching and why is it more basic than counting?
- Why can’t you ever in principle make a list of all of the decimal numbers?
- Are some infinities bigger than others? How do we know?
- Can we still know things if some questions are in principle unanswerable?
Keywords: infinite, math, numbers, paradox, philosophy, thought experiment,