What is an uncountable set - in human terms?

Question

Discrete Math

I broke my 29-year-old brain a little trying to understand what it is and why.
Why, for example, is the set (0, 1) uncountable?

Answer 1

habrahabr.ru/post/232987
but in general, as with n-dimensional spaces, not everything can be represented, you just need to be able to operate with concepts and related expressions

Answer 2

An uncountable set is an infinite set whose elements cannot be numbered without missing some other elements of the same set.
For example (0,1). Let's say 0.5 is the first number in the set. But what will be the second? 0.51? But there is at least one number between them - 0.505. But it cannot be called the second either, because there are also numbers between 0.5 and 0.505. Always like this.
Even if you manage to choose the first number in an attempt to compile an ordered list from an uncountable set, then you will no longer be able to choose the second, and such that there are no other elements between the first and second (and if you suddenly manage to choose the second, then on some you will definitely stumble later).