Sen. Rand Paul (R-Ky.) on Monday defended his opposition to President Obama's signature health-care law, telling John Oliver of "The Daily Show," that he believes the law will have the opposite effect of what its advocates intended.

"I'm afraid that everyone will pay a lot more for insurance, and I think precisely the people it was intended to help it may well hurt, because they may not be able to afford it," Paul said.

The Kentucky senator said he thinks the effort to pass Obamacare was misguided, not malevolent.

"I call it the dinosaur syndrome," he said. "We have a lot of politicians who have really small brains and really big hearts. And they want to do what's right, but I don't think it's going to work."

Paul also repeated his call for Congress to overhaul mandatory minimum sentencing laws.

"We have an epidemic in our country where people's lives are ruined," Paul said.

Oliver, who was filling in for Jon Stewart, told Paul at the top of the interview that he would not ask him anything about 2016.

"I am not going to ask you if you are running for president, because it's the year 2013, and I don't care," Oliver said.

"And the alarm clock has not gone off yet," responded Paul.