Read the link above about FP as a leaky abstraction of the reals; it explains it better than I can. FP is not really a representation of reals, because you can

Read the link above about FP as a leaky abstraction of the reals; it explains it better than I can. FP is not really a representation of reals, because you can't represent the entire number line with a finite number of bits. It is a representation of a cleverly chosen subset of the reals, so well-designed that many people forget that they're not dealing with real numbers. That intelligent people can write code with FP values, operating on them thinking they are real numbers, and not knowing how FP works, and get programs that often do nearly the right thing, speaks to the success of FP as an abstraction. Understanding how things can go wrong is the leaks (like, non-associativity). I don't think people manipulating char[] representations of strings are ever at risk of forgetting that it's just an array of chars (they program with full awareness of the implementation), so it doesn't feel like there's much abstraction happening there. Other higher-level data structures for text manipulation probably do implement some useful abstractions; I haven't worked with those.