Is there an uncomputable number between any two real numbers? I know close to nil about uncomputable numbers, so perhaps it doesn't even make sense to ask this question. All the information I can find about them is unaccessible with my level of education, but I have heard that "most numbers are uncomputable."

Well since computable numbers are numbers that can be calculated by a finite computer program (in an infinite amount of time), now a finite computer program can be expressed as a finite string of charachters such as a,b,c...1,2....,+,-,*... etc, the space is also a character, so "hello, how are you?" would be a string of 19 characters, let's say there are $n$ characters in total, so the amount of finite strings of $m$ characters would be $n^m$, a finite number lets define the set of strings of $m$ characters as $Str(m)$, it is clear that any finite computer program would belong to $\bigcup_{m\geq 1}Str(m)$, but this is the countable union of finite sets, so the set of computable numbers is countable, since any interval $(a,b)$ is uncountable there would exist an uncomputable number between $a$ and $b$. In fact since the Lebesgue measure of a countable set is $0$ you can say that almost every number is uncomputable.
