"I believe God doesn't exist" is not Atheism

I shall begin by explaining that the question of God's existence is a dichotomy, meaning that there are only two possible resolutions: either God exists, or God does not exist. There are no other possibilities, and only one of these possibilities can be true, being mutually exclusive of one another. This establishes that there are two opposite sides to this argument: God exists vs. God does not exist. To hold either side true, one must have a belief that it is the truth. The former *believes* that God exists while the latter *believes* that God does not exist. Since these are both positive claims, two entirely separate "sub-arguments" are created. In regards to the "God exists" side, there are two possible positions based on the arguer's state of belief: I believe that God exists -or- I do not believe that God exists The former position is Theism, which *believes* that God exists. The latter is Atheism which is *absent of the belief* that God exists, as Atheism is defined. Theism asserts that God exists while Atheism merely rejects that assertion. Nowhere in this sub-argument exists the position of "God does not exist"; that argument belongs on the opposite side of the dichotomy, which I will describe later. An example of this can be found in the US legal court system. "Innocent until proven guilty". The court is charged with determining whether the defendant is either Guilty or Not Guilty; NOT Guilty or Innocent. The court systems are not designed to prove one's innocence. When one is deemed Not Guilty, it indicates that there is insufficient evidence to prove the defendant Guilty; this verdict, in of itself, doesn't necessarily mean that he did not actually commit the crime. It only means that the prosecutor could not prove that he did beyond a reasonable doubt. We almost always hear the sub-argument between God exists and God does not exist, so the other side of this may seem alien. While the former side pertains to Theism, this opposite side pertains to "Antitheism" (I don't know if that's the right term, but it is irrelevant to my point). The positions for this are: I believe that God does not exists -or- I do not believe that God does not exists The former position is Antitheism, which *believes* that God does not exists. The latter could be called A-antitheism which is *absent of the belief* that God does not exists. This mirrors the other sub-argument. Note that saying "I don't believe that God doesn't exists" does not mean "I believe that God exists". Based on these four positions among the two sub-arguments, there are three overall stances that may be held by an individual that are defines by the positions he holds in each of the sub-arguments. 1. Theist/A-antitheist. This person believes that God exists, so he thus is absent of the belief that God doesn't exist. 2. Antitheist/Atheist. This person believes that God does not exists, so he thus absent of the belief that God exist. 3. Atheist/A-Antitheist A truly agnostic person would lack belief in either positive claim. In conclusion, when a person states "I believe that God does not exist", his statement is a positive claim stemming from the stance of Antitheism, NOT Atheism, despite the fact that he is also an Atheist.