Scala set function

Question

In Stanford Scala course I\'ve come across the following assignment:

Exercise 1 – Sets as Functions:

In this exercise we will represent sets

Answer 1

We have

Set A = 
    Returns the intersection of the two given sets,
    the set of all elements that are both in `s` and `t`.

Set B = 
    Returns the subset of `s` for which `p` holds.

Isn't Set A is equivalent to Set B

def filter(s: Set, p: Int => Boolean): Set = intersect(s, p)