class Intmad implements Foo, Bar {
  public static void main(String[] argv) {
    System.out.println(quux);
  }
}

interface Foo {
  private int quux = 3;
  int quax = quux+1;
}

interface Bar {
  double quux = 7.3;
}

gives this compile-time error:

Intmad.java:3: Reference to quux is ambiguous. It is defined in interface Bar and interface Foo.
    System.out.println(quux);
                       ^
1 error

Apparently declared a field "private" in an interface doesn't cut any ice?
But then why doesn't the compiler complain about the "private" modifier?
What are the rules here?