A term such as "without" cannot "assume" anything.
???
If you are "without X" then there is the implicit assumption that X exists.
If I say that I am without hair, it implies that hair exists, you agree?
If I say that I am without money, it implies that money exists, I'm sure you'd also agree?
If I say that I am without Zarg, it thus implies that Zarg exists, right?
There is thus the implicit assumption by the person using the term "without" that what one is without actually exists.
But merely saying, or defining, something as being "without" does not mean that the thing does actually exist, only that it is assumed by the person using the term that is defined with the term "without" that it does exist.
You use the term "atheism" as meaning "without God" because you have the assumption that God exists.
We who label ourselves atheist do not have that assumption, thus we reject your definition of the term.
There is no assumption that anything exists. It is simply descriptive.
And by calling it descriptive you are once again trying to define something into existence.
The only thing it is descriptive of is your own interpretation of what you observe, an interpretation that is built on the a priori assumption that God exists, such that you embed the assumption of God's existence into the definition you want to insist upon for "atheism", using an ancient meaning for it when everyone held the belief that gods existed.
Alas, all you are doing is reconfirming what your worldview is, what your belief is, not what reality actually is.
And we already know what your belief is.
I take it you don't like the obvious implication?
You are trying to force an implication upon atheists that simply isn't there.
You are doing so because you want atheism to be defined from the theist viewpoint, and you are not willing to accept the definition from the viewpoint of those who actually self-identify with the term, where there is no such implication.
Only if I decide to accept. The remarkable thing about atheist, and theist, is that they don't decide.
It's obvious to the theist that God Is, and it is obvious to the atheist that God does not exit as far as they are aware.
They didn't decide it, hence they don't assume it. It is the situation we find ourselves in.
One doesn't have to decide to hold an a priori assumption, and most I would wager are not decided, as most probably don't even realise they hold them.
An a priori assumption is simply an assumption, a premise, that one holds as true without further question.
You have admitted that this is what you do.
Hence you are, whether you admit it or not, agreeing that you hold an a priori assumption that God exists.
The fool doesn't decide for himself, there is no God. The fool says in his heart, there is no God.
And I'm sure you'd very much like to redefine atheism as "fools that are without God".
But hey ho, your insult is noted.