You might attempt to, and it's a fun exercise to try at least once, to try to list all of the values this might take on. You might say, okay, maybe you could take on 0.01 and maybe 0.02. But wait, you just skipped an infinite number of values that it could take on because it could have taken on 0.011, 0.012. Even between those, there's an infinite number of values it could take on. There's no way for you to count the number of values that a continuous random variable can take on. There's no way for you to list them. With a discrete random variable, you can count the values.