Asked again Tuesday about his possible presidential ambitions, Sen. Rand Paul (R-Ky.) said he wanted to be part of the national debate to help keep his party from becoming extinct.

"I think my party, the Republican party, is shrinking. We're in danger of becoming a dinosaur," Paul said in an interview on CNN. He pointed to poor Republican performance in the Northeast, on the West Coast and around the Great Lakes. 

"So we need a new type of Republican," Paul said. "I think that involves some of the ideas of libertarian-leaning Republicans -- people who believe that we need a less aggressive foreign policy, people who believe that we’re not going to deport 12 million Hispanic folks and send them home." 

Paul is openly looking toward 2016, although in the CNN interview he said that not denying interest is not the same as being interested. His father, after running for president three times, is retiring from the House.