A major part of the argument for not raising the debt ceiling in late 2013 was that it wouldn't lead to default because the US could prioritize spending, balance the budget instantly, and continue to service the debt.
Don't take my word for it, here is Rand Paul himself from October 2013.
Quote:
But Paul argued the country has enough money to pay the interest on its debt and “there’s absolutely no reason ever to default, and a good leader would be saying we will never default.”
“Not raising the debt ceiling means you have to balance your budget,” he added. “It doesn't mean you have to default.”
Rand Paul then voted not to raise the debt ceiling.
Now, obviously voting to raise the debt ceiling is an imperfect proxy for policy views. Paul for would have rather voted for a compromise agreement acceptable to him than to raise the debt ceiling rather than vote against the final proposal that passed the Senate. As I mentioned, Obama voted exactly the same way on the debt ceiling. I acknowledged that in the same post that you chopped off at one sentence by noting his proposals are to balance the budget within five years and institute a balanced budget amendment.
But the post was in response to a question about whether Paul had ever claimed he would instantly balance the budget instantly, so I thought it was worth mentioning that Paul did take a vote to do just that.
Im not going to get bogged down on this since the point of my post was not to argue that Rand Paul was advocating instantaneously balancing the budget as a policy platform, and its unfortunate that you are getting hung up on that point, but my portrayal of his debt ceiling vote was accurate.