...continued below... (darn 5,000 character limit)
Theism accepts the "god exists" claim as a true.
Atheism accepts the "god doesn't exist" claim as a true.
Agnosticism rejects both of those claims, and accepts the "we have yet to find a way of knowing either way" claim as a true.
Same with Atheism/Theism/Agnosticism... Confidence levels may vary, but that is irrelevant... You are still ultimately making the choice to accept a particular claim as a true...
There really isn’t a ‘paradox’ in the definitions you’re arguing against. The paradox results from you applying your definition of agnosticism to their definition of atheism. But if you compare their definition of agnosticism to their definition of atheism, there isn’t a problem. Indeed, you might like it, given what I read to be your appreciation of other binary distinctions.
In their view, theism/atheism is a position on gods, while gnosticism/agnosticism is a position on knowledge. Therefor there’s no conflict in being both an atheist and an agnostic, under their definitions. And if it suffers the problem of telling some self identifying agnostics that they are in fact (also) atheists, it also tells some atheists that they are in fact (also) agnostics.
Consider your own definition of agnostic:
‘Agnosticism rejects both of those claims, and accepts the "we have yet to find a way of knowing either way" claim as a true.’
Your definition then is not just a position on my continuum from 0 to 100 re: the god claims, right? It includes an additional position on knowledge. The atheist’s who use the binary approach to holding/not holding a god claim simply suggest that all one needs to be an agnostic is the last term in your definition ‘we don’t currently have a way to know’. Which I believe fits some classical philosophical definitions of agnosticism.
None of this definition wrangling is about not wanting to own my positions. I’m happy to talk about why I don’t hold any god beliefs. I’m happy to argue about why I think my position is reasonable. What I don’t want to have happen is to be pushed into defending a position I don’t hold, or being forced (expected?) to prove the non-existence or any particular god claim that was designed to be unfalsifiable. Unfalsifiable claims are unfalsifiable, right? Or worse, as has happened to me, be told that I must not only argue against every unfalsifiable god concept someone has thought up, but to be a ‘rational’ atheist, I must have an argument against all the unfalsifiable god concepts that no one has yet invented!
When I was a theist, I never tried to buck the burden of proof. I understood that proving something exists should in theory be easier than proving something doesn’t exist, and since I was broadly speaking evangelical, I was happy to spend as much conversation time as possible on promoting my view, rather than rebutting theirs.
Now we could just agree that this conversation is about definitions re: beliefs and not ‘burden of proof’, but when you phrase things in terms of owning up, etc., I think it’s obvious that the burden of proof issue is what’s at stake in why you want to argue against these definitions, and perhaps in why many atheists argue for these definitions. I think we have a reasonable desire not to be backed into a corner of having to prove assertions that are stronger than what we hold.
I am more than willing to defend why I don’t hold any god claims, but I’m not anywhere near omniscient enough to assert that there couldn’t possibly be anything we’d recognize as a god ‘somewhere out there’, so I’d rather not be put in the position of being told that I must accept that burden of proof. Is it cowardly to not want to defend a position I do not in fact hold? It feels a bit like if I demanded every theist defend a literal reading of Genesis 1...
You introduced a new factor: choice. Boy we could go back and forth on that...