Rich Properties and Haecceity Properties. Socrates can exist without his rich property; ergo, he can exist without his rich property instance; ergo, Socrates cannot be a rich property instance or any property instance. The truth of the initial premise is fallout from the definition of ‘rich property.’ The R of x is a conjunctive property each conjunct of which is a property of x. Thus Socrates’ rich property includes (has as a conjunct) the property of being married to Xanthippe. But Socrates might not have had that property, whence it follows that he might not have had R. (If R has C as a con...