he would desire to become more and more ill, in order that he might take a greater pleasure in being restored to health: in such a case he would always endeavour to be ill, which (III. 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). Q.E.D.
PROP. XLVI. If a man has been affected pleasurably or painfully by anyone, of a class or nation different from his own, and if the pleasure