yup. That's how it starts...

There's an old joke in my crowd: What's the difference between a minarchist (= small government) and an anarchist (= no government)?
_Six months_. 

So yeah, just learn more and perhaps you'd change your mind.

I see. 
It's hard for me to imagine it working properly and for people in need, but maybe it is a matter of perspectives: maybe with a society organized in this way, there are opportunities and instruments that allow Healthcare and such to emerge spontaneously

"one day I may need it and can't afford it" and that day ma be even day0, when you have not even started to "provide" for society

Yes, that service is called insurance and is the oldest of financial market products. We certainly don't need a state regulating/enforcing/meddling in that

culture

How do Tax, Welfare, Security work in a complete Libertarian State?

> "one day I may need it and can't afford it" and that day ma be even day0, when you have not even started to "provide" for society

Yes, that service is called insurance and is the oldest of financial market products. We certainly don't need a state regulating/enforcing/meddling in that