But no matter how much you give to CARE, you will never make a serious dent in the problem of starving children.

This seems roughly akin to saying "paying down my credit-card debt will never make a serious dent in the National Deficit... so I won't bother"

Giving money to a "starving children" charity won't remove all starvation, but it will significantly help one child. In the same way that paying off one credit card won't pay off the Gross National Debt... but it'll make a big dent in your life.

Edit: BTW - I know this is the article, not you saying this... just so you know ;)