Overview
A person's liberty right to x consists in his freedom to do or have x, while a person's claim right to x consists in an obligation on others to allow or enable him to do or have x. For example, to assert a liberty right to free speech is to assert that you have permission to speak freely; that is, that you are not doing anything wrong by speaking freely. But that liberty right does not in itself entail that others are obligated to help you communicate the things you wish to say, or even that they would be wrong in preventing you from speaking freely. To say these things would be to assert a claim right to free speech; to assert that others are obliged to refrain (i.e. prohibited) from preventing you from speaking freely (that is, that it would be wrong for them to do so) or even perhaps obliged to aid your efforts at communication (that is, it would be wrong for them to refuse such aid). Conversely, such claim rights do not entail liberty rights; e.g. laws prohibiting vigilante justice (establishing a legal claim right to be free thereof) do not thereby condone or permit all the acts which such violent enforcement might otherwise have prevented.
To illustrate, a world with only liberty rights, without any claim rights, would by definition be a world wherein everything was permitted and no act or omission was prohibited; a world wherein none could rightly claim that they had been wronged or neglected. Conversely, a world with only claim rights and no liberty rights would be a world wherein nothing was merely permitted, but all acts were either obligatory or prohibited. The assertion that people have a claim right to liberty – i.e. that people are obliged only to refrain from preventing each other from doing things which are permissible, their liberty rights limited only by the obligation to respect others' liberty – is the central thesis of liberal theories of justice.
Read more about this topic: Claim Rights And Liberty Rights