I really have no idea what you are doing. What is your objective?Now, I guess I can "create" these ordered pairs by taking the Cartesian Product, .
This gives me among other things the diagonal terms , all in all 11 diagonal terms.
I can then go ahead and create a subset of A that is reflexive:
Yes, you certainly can but I don't know why you are doing it. Why do you want to know how many "reflexive relations" there are on a set? That doesn't appear to have anything to do with partial orders.There are then off-diagonal elements, so there are subsets of the off-diagonal pairs.
I can combine any of these subsets with the diagonal to get a reflexive relation on A.
All in all, reflexive relations..
Is this a good way to think of the reflexive property, or am I way off?