However, the main question to be faced is do you choose to live with belief, or not? Some agnostics (i.e., some people) choose to believe for various reasons. Atheists have chosen to not believe. Simple as that.
Right. That is a slightly different (and just as good) way of saying just what I was trying to get accross. However, when it is stated the way you did, then that is when the definitions begin to be twisted.
Atheists have chosen to not believe
I have isolated the above, because while I agree with it and I also understand the way you mean it, many people do not understand how you are meaning that. Many people go beyond the simple statement that an atheist doesn't believe to mean that they won't or can't believe. These people take the passive "I don't believe in Thor" and instead assume that the atheist means "Thor can't exist!". The second stement actually falls on the agnostic/believer continuum, not on the ahteist binary worship yes/no question. I know it is a fine point and a bit difficult for some people to understand, but it would clear things up a lot if they did.
Example:
atheist: "I don't believe in or worship Thor"
comparred to...
person #1 at one extreme of belief continuum: "Thor can't exist!"
person #2 in middle of belief continuum (agnostic): "Thor might exist."
person #3 at other extreme of belief continuum (worshipper): "Thor is our God"
As I said, it is a fine point, but people always want to confuse the atheist with person #1.
So, as I mentioned in an above post, I am an atheist (I don't believe in or worship any specific god). I am also agnostic (and would appear on the above scale between person #1 and person #2).
edit to say: person #1 (and for that matter everyone one that continuum) above would by definition also be an atheist (because there would have to be some god somewhere that they don't worship). However, the reverse is not necessarily true. A person could be an atheist and fall anywhere on that continuum; they aren't tied to also being person #1.