Extending unemployment benefits is nothing more than a political tactic. Since the federal government has no money, all it can do is move capital from productive sectors into unproductive ones. But it is difficult to tell that to people when they have a family to feed and no job. Proponents of the extension refuse to acknowledge that sometimes there are no good solutions — not everything can be fixed.
Keynesian economics is the modern version of sacrificing grain to the harvest god in the hope of a more prosperous harvest the following year. Realistically, it will only lessen the amount of grain there is to eat, even if it makes people feel like they were doing something to help.