Not a lawyer, but I'm pretty certain that you're wrong. There are 2 types of claims, dependent and independent. dependent are those that refer to a previous claim and expand on it, (2 and 3 above). Claim 1 above is independent. The dependent claims are taken together with those they reference, but the independent claims if accepted are taken independently.

Here: http://en.wikipedia.org/wiki/Claim_(patent)#Basic_types_and_...