I have the following questions: " Let R = ∅ be the empty relation on a nonempty set A. Which of the properties reflexive, symmetric and transitive does R possess?" and the following answer is given: "Let set A is nonempty set and consider relation R given by R=∅. Then we can conclude that the relation R is symmetric because {∅,∅}∈R. The only element of R is ∅ so relation is transitive. Since A is a nonempty set then relation R is not reflexible." How can it be any propert when the set is empty? don't you need pairs to decide which property the set holds?

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