Perhaps Westerners are in a better position to practice true renunciation than uneducated Orientals because most Western people, by the time they come to the Dharma, have led a pretty full worldly life with lots of sensual pleasures, money and lots of toys to play with. They have seen that the path of accumulation of worldly treasure does not lead to happiness or contentment. That's why they come to the Dharma.
