TITLE: Is the empty set partially ordered ? Also, is it totally ordered?
QUESTION [10 upvotes]: I am not sure on how to go about this. Please provide clear explanations.

REPLY [4 votes]: The above answers confirm that $\emptyset$ with the empty ordering is in fact a linear order.  I would just like to add that it is in fact also well-ordered under this ordering since it is linearly ordered and every non-empty subset of $\emptyset$ has a least element.  This is true vacuously since there are no nonempty subsets at all.