Is there any reason that Java uses late/static binding for overloaded methods in the same class?

Is there any specific reason why Java uses early binding for overloaded methods? Wouldn't it be possible to use late binding for this?

Example:

public class SomeClass {

    public void doSomething(Integer i) {
        System.out.println("INTEGER");
    }

    public void doSomething(Object o) {
        System.out.println("OBJECT");
    }

    public static void main (String[] args) {
        Object i = new Integer(2);
        Object o = new Object(); 
        SomeClass sc = new SomeClass();
        sc.doSomething(i);
        sc.doSomething(o); 
    } 
}

Prints: OBJECT OBJECT

I would rather expect: INTEGER OBJECT