Sorry, that should have read "they will educate them
selves".
Also, some major decisions need to be taken very fast. You can't wait for a full consensus to form.
Sometimes, but rarely on any scale that would justify the existence of an entire state apparatus, or at least not with states creating these problems for themselves.
Even today, states aren't really in the business of making snap decisions. What they mostly do is develop and enforce particular structures, protocols, etc., and very often in a manner which makes rapid decision-making difficult outside of very specific contexts. What they offer is uniformity, not dynamism.
Let's say someone murders your entire family. Since there is no state, not law, no acceptable and unacceptable behaviour, the murderer will not be punished, right? Is this how a society should be?
I don't think that people should be punished, no. What good has that ever done anyone? As I said, anarchism means tossing out our state-centred assumptions about how societies regulate themselves, which first and foremost means abandoning a disciplinarian attitude towards social transgression.
If there are no money, how will people buy things? Or those that produce them will give them for free?
Also, how would older people live?
Again, "from each according to his ability, to each according to his need". It's the only authentic moral or free way which human beings have ever found to relate to each other.
Sorry, but can you explain about this, since I do not know from where this pic is?
CNT-FAI militiawoman, Barcelona, 1936. Point being, resistance to aggression is not premised on statehood. I could have chosen other examples without the overtly anarchist overtones, and indeed many which were avowedly statist- the French Resistance, for example, which was dominated by left-republicans and Communists- but this seemed the most appropriate.
If there is an emergency, then how will decisions be made?
I don't know; "emergency" is a pretty vague category, so if we're not assuming Leviathan, it'd be pretty silly to assert a general model of how people should deal with them.
Who will educate them? No state, no schools. So, who will educate them? Also, those who are insufficiently educated will be allowed to vote or will they have to wait until they are educated?
States have been in the business of education for maybe a century or so, and less in most of the world, so I don't really understand the assumption that one is a prerequisite of the other. Certainly
universal education has generally been state-lead, but that only indicates the difficulty of supplying educational in a grossly unequal world, because
mass education pre-dates universal by centuries, having previously been overseen by churches, guilds, workers' associations, an other non-state organisations.
Because people want power. People want to protect their faction (be it their friends or family) and make proffit. And if the system has not any type of protection against demagogues, then how would you prevent them from making the people to decide stupid things, like in Ancient Athens, which lost the Pelloponnesian war, because it's citizens voted to invade Sicily?
People have a right to make stupid decisions. My hope is that, in a freer and more equal society, they will not do so.
Who will decide who will vote? No authority means that no one can tell who will vote or who will not vote? I could have my dog to vote and no could say anything about it because there is no authority and no law.
That's true. But, nobody has an obligation to pay any attention to what your dog has to say, because there is no authority and no law. So that solved itself, didn't it?
Also, if all the citizens go to vote on every decision, who will do all the jobs?

In Ancient Athens, the citizens could vote because they had slaves to do the work. What about in your anarchist society? Or no one will work?
As Park has said, anarchism is in essence anti-political, which means rejecting the construction of distinct spheres of work and citizenship, of material and political life, upon which this question is premised. Anarchists don't assume democracy as something which occurs outside of work, which only refers to it from the standpoint of a gentleman of leisure (however temporarily assumed), but as something which has to structure our entire social being. What good is being able to vote in some micro-parliament if you still have a dictatorship on the factory floor?
Also, I will again have to ask you to adopt a less combative and more constructive attitude towards this thread. It's one thing to be confused about the details of anarchist thought- that's why we're here!- but another thing to come in swinging your ignorance like a hammer. The point of this thread is to share our ideas with those who may be curious, not to submit ourselves to interrogation.
If that is addressed to me:
What methods(/actions/etc) employed by states are coercive?
...Coercive ones? I'm afraid I still don't quite understand what you're asking.
Actually, I've once raised a concern in the Ask a Red thread that Communism might degenerate into a Völkisch communes, in which the labor is done ethnic minorities. TF answered me, and I remember he said something like that might be a possibility. So much for equality.
Saying that something is conceivable is not to say that it is probable or that is acceptable.