Question about possible relations Hello I have a question about possible equivalence relations.
I know that a relation can be Reflexive, Symmetric , Transitive.
But my question is, is there any strict limitations one has on the other.
For example if we had a relation then there are eight possible combinations of the above, for example we could have R S T and not R , S, T, or Not R, Not S, T,
for example.
To me they all seem possible except for a relation that is not reflexive but symmetric and transitive.
Any insight?

What about a relation on a set where nothing relates to anything? This is symmetric and transitive, but not reflexive.
