1.  In fact, however, there are independent good reasons to suppose that mental events are physical in the given sense.

2.  Vagueness may invalidate a criminal law for either of two independent reasons.

3.  We disagree for two independent reasons.

4.  We think it entirely clear that it does not mean the law enunciated in Lampf, for two independent reasons.

5.  We conclude that it does for at least two independent reasons.