A tweak to the API gets the School challenge right.

School

import java.util.HashSet;
import java.util.Set;

public class School {
    private final String name;
    private final String nickname;  // Nicks are not unique.  How many Aggies are there?

    public School(String name, String nickname) {
        this.name = name;
        this.nickname = nickname;
    }

    @Override
    public int hashCode() {
        return name.hashCode();
    }

    @Override
    public boolean equals(Object obj) {
        if (!(obj instanceof School)) return false;

        School other = (School) obj;

        return name.equals(other.name);
    }

    public boolean equalsFuzzily(Object obj) {
        if (!(obj instanceof School)) return false;

        School other = (School) obj;

        return name.equalsIgnoreCase(other.name) || nickname.equalsIgnoreCase(other.nickname);
    }

    @Override
    public String toString() {
        return name + " (aka " + nickname + ")";
    }



    public static void main(String[] args)
    {
        School school1 = new School("University of Pennsylvania", "upenn");
        School school2 = new School("University of Pennsylvania", "Penn State");
        System.out.println("school1: " + school1);
        System.out.println("school2: " + school2);
        System.out.println("Equals: " + school1.equals(school2));
        System.out.println("EqualsFuzzily: " + school1.equalsFuzzily(school2));
        Set<School> schools = new HashSet<School>();
        schools.add(school1);
        schools.add(school2);
        System.out.println("Set: " + schools);

    }
}