Fiat currencies have their value because people agreed on that they have value. Bitcoin is more of a fiat currency than it is anything else. I.e. it has no value but for the consensus of people saying it has value and is not directly redeemable for anything that does value. Unlike, cows, iron,copper,gold, or promissory notes for them, which are the usual non fiat currencies.

The fact that it doesn't depend on violence ought to tell you to stop blindly parroting every single libertarian catch phrase you hear. They are not all true.