What are the limits of charity?

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The recent disasters in Haiti have pointed up some of the difficulties charitable organizations and international relief organizations have encountered not only in getting aid to those who need it, but in continuing to provide assistance in the face of growing opposition among donors to a continuing outflow of funds in times of economic hardship and catastrophes closer to home. Considering the hardships faced by those in need as well as the economic (and often climactic) troubles of those who have contributed to ongoing relief worldwide, is there a point at which one just has to say no more? If there is an endpoint, where is it, and how do you feel about limiting aid to those who need help?