That they are entirely different statements is the very reason I used “claim” so you could attribute “know” or “believe” to suit your purpose. I’m merely wanting to know what your definition of “atheist or “atheism” is and isn’t.
Thanks! I now (only now) know what you definition of “atheism" (and "atheist"?) is in regard to belief (and what it isn't). Your definition is - Atheism is "Believing there is no god”. Can I safely assume that atheism in regard to knowledge would be “Knowing there is no god”? Or is theism/atheism purely a matter of belief?
No, and this is why I preemptively harped on the distinction. A knowledge based atheism would be along the lines of 'I see no reason to think there is a god'. Saying 'I
know there is no god' is irrational belief at its most extreme. Cutting to the chase, there is insufficient data to draw a meaningful conclusion regarding god's existence; 'knowing' is not an option.
All this, of course, assumes that there is some agreed definition of god to start with. That should certainly be cleared up first, before delving into further distinctions, no? What definition of god are you using, so that we can answer your OP question meaningfully?
Seems you also define atheism as being purely a matter of choice. Please correct me if I'm wrong.
Not choice, as in a decision picked from options.
Belief, founded on evidence (not necessarily empirical). Experience, intuition, reason, gnosis...the basis would differ for each individual. But if I understand you correctly, then yes, I think a/theism is generally a matter of belief, and matters of reason generally fall on the spectrum of agnosticism. IMHO, anyway.