R is uncountable

Описание к видео R is uncountable

This is also one of my favorite proofs! In this video I not only prove that the rational numbers are countable (that is you can create an infinite list of rational numbers), but also that the real numbers are uncountable, meaning that even if you lived forever, you wouldn't be able to count all the real number. At the same time I'm presenting a very classical proof method called the cantor diagonal argument, which is used a lot in analysis. Enjoy!

Комментарии

Информация по комментариям в разработке