If rights are universal then the set of things that are rights cannot contain those things which in order for one person to have, another person must not have. You cannot have any positive claims. You can only have negative claims.
The right to property, for example, does not, and cannot, mean a 'right' to a material thing, like welfare, or health care, or obamaphone. To assert that 'right' you must violate someone else's rights so that is not universal and thus not a right.
It's a privilege granted to you at the expense of violating someone elses rights.
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