Before revision: According to Rousseau, the difference between the two is that amour-propre assumes that esteem for oneself can only be found by gaining the approval of others, whereas amour de soi involves one's feelings for onself alone, without any intervening concerns about one is seen by others.
After revision: According to Rousseau, the difference between the two is that amour-propre assumes that self-esteem can only be found by gaining the approval of others, whereas amour de soi involves one's feelings for onself alone, without any intervening concerns about one is seen by others.