vi.) is absurd.
PROP.XLV.

If a man conceives, that anyone similar to himself hates anything also similar to himself, which he loves, he will hate that person.
Proof .-- The beloved object feels reciprocal hatred towards him who hates it (III.

xl.); therefore the lover, in conceiving that anyone hates the beloved object, conceives the beloved thing as affected by hatred, in other words (III.

xiii.), by pain; consequently he is himself affected by pain accompanied by the idea of the hater of the beloved thing as cause; that is, he will hate him who hates anything which he himself loves (III.
xiii.

note).