Question 59
The Xantians are the inhabitants, possibly infinitely many, of planet Xanta. They can feel love and respect towards themselves and one another. It has been observed that:
- Each Xantian loves exactly one Xantian and respects exactly one Xantian.
- If $A$ loves $B$, every Xantian who respects $A$ also loves $B$.
- If $A$ respects $B$, every Xantian who loves $A$ also respects $B$.
- Every Xantian is loved by at least one Xantian.
Is it true that each Xantian respects the Xantian whom they love?
- Each Xantian loves exactly one Xantian and respects exactly one Xantian.
- If $A$ loves $B$, every Xantian who respects $A$ also loves $B$.
- If $A$ respects $B$, every Xantian who loves $A$ also respects $B$.
- Every Xantian is loved by at least one Xantian.
Is it true that each Xantian respects the Xantian whom they love?