In the composition of functions, f . g (x) = f(g(x)), that there is a result of g(x) is hidden by the composition, which only allows examination of the first input and the final output.
There is nothing special about OOP here.
It's hiding the differing constructions, but at that point I don't see that as a true difference. (\x . x + 2) . (\x . x + 2) seems to me to be the same value as \x . x + 4 in exactly the same way that 2 + 2 is the same value as 4.
> In the composition of functions, f . g (x) = f(g(x)), that there is a result of g(x) is hidden by the composition, which only allows examination of the first input and the final output.
> There is nothing special about OOP here.
Having mutable state hidden/encapsulated with a bundle of functions that may be entangled with that state is unique to OOP; as I said in the side thread, hidden structure is not the same as hidden state.
If I write a function like:
would you say the value of x is "hidden" in the expression x + 2? I would say no: it's clear that there is a value of x at the point where we evaluate that expression. That's a different kind of thing from the OO style where we write o.f() and genuinely can't distinguish whether there is relevant internal state in o (and whether that state is mutated by the call to f()), or not.