In Wednesday's letter, Geithner pushed back against GOP claims that the government could hit the limit and avoid default simply by prioritizing needed interest payments over other government spending. He called such an arrangement "radical and deeply irresponsible," and one that would do nothing to stave off a default. He added that presidents of both parties have always called for the debt limit to be increased when needed.
But DeMint said lawmakers will not support a "blank check" of a debt limit increase, calling for major spending reforms instead.
"We can't keep taking out new credit cards to pay off the ones we've maxed," he said. "It's time to pass a balanced budget amendment and force Washington to stop spending more than we're taking in."