More specifically, what Ryan and Romney actually mean by "socialism" is any government program that helps someone. This is why Ryan is so determined to dismantle Social Security (which he wants to privatize) and Medicare (which he wants to replace with a voucher system, meaning, you get to fend for yourself against private insurance companies that will charge you a few thousand dollars a month for really bad insurance).
What's interesting, therefore, is the news that Social Security helped Paul Ryan go to college and make him the man he is today (which is perhaps a justification for getting rid of it). Via Raw Story:
From the age of 16, when his 55-year-old father died of a heart attack, until he was 18, Ryan received Social Security payments, which, according to a lengthy profile in WI Magazine, he put away for college. The eventual budget czar attended Miami University in Ohio to earn a B.A. in economics and political science, and landed a congressional internship as a junior.So Paul Ryan benefitted from the largesse of big liberal government. Government that he now wants to take away from the rest of us.