Corporations are legal persons, which are not the same as natural persons (AKA plain old human beings).
The law endows natural persons with many rights which cannot and do not apply to legal persons - corporations, governments, cooperatives and the like can enter into contracts (but not marriage contracts), own property (which will not be protected by things like homestead laws and the such), sue, and be sued. They cannot vote, claim disability exemptions, or have any rights to healthcare and the like, while natural persons do.
Legal persons are not treated and do not have to be treated like natural persons.