I could not agree more on the difficulty of the definition of knowledge. We will leave it undefined. Definition of God as creator, fine by me.
As far as a definition of athiesm, non belief in God. Agnostism, insufficient knowledge to know of God.
I would take issue with your definition of agnosticism, if only because it is not insufficient knowledge, but rather the idea that absolute knowledge pertaining to certain things is not entirely possible.
The word Supernatural is not definable by human rational thought. Hence, if an athiest does not consider the possible existence of the supernatural. Then the supernatural does not exist to an athiest. It does of course not mean that the supernatural does not exist. Just that they refuse to consider or to believe it does.
Ah, but that's a fallacy of equivocation. The word "supernatural" is definable by human thought - rational or otherwise. If it were not, we could not define it; it is entirely possible to define something with or without its existence. For instance, we have defined leprechauns.
The word supernatural and the supernatural are not the same thing.
You're also assuming that the atheist does not consider the existence of the supernatural; it is entirely possible that the atheist does consider the supernatural, yet does not believe in it because he has no evidence for it. There's nothing there to imply a refusal to believe, as there is nothing there to justify a belief. Essentially, there is no difference then between the Atheist who has considered the supernatural and anyone else. However, none of this matters because of this important caveat to belief:
Regardless of whether or not someone believes something or no is not indicative of somethings existence. Essentially, you're making a special plead by saying that, "because the atheist does not believe in the supernatural, and they can't be sure that it doesn't exist, then it must not exist to the Atheist but exist for everyone else." This is a case of special pleading because it asks for different rules depending on some defining characteristic; something cannot "not exist" for someone else, but exist for others. Existence is one of those all-or-nothing things.
It's like Schroedinger's cat: A cat in a box cannot be both alive and dead at the same time.
Do you see neuroscience, that athiesm may in fact be a refusal to believe rather than non belief. This refusal to believe is not based on any hard evidence, rather it is fashionable in this day and age. It may appear a fair position, but is rather narrow and submissive of that which it does not understand.
No, I do not. For the atheist to refuse the belief in the supernatural, there has to be a justification for that belief. If the atheist - as I alluded to in the last paragraph - has no evidence for that belief, then he's not refusing to believe something. He simply just doesn't believe.
For instance, if an agnostic atheist - or someone who understands that absolute knowledge in certain areas is impossible - considers the possibility of the supernatural, but does not believe in God afterwards, how can you then say that he is refusing belief? You have no reason to assume that he was given justification for a belief in the supernatural so how can you then imply that he (or she) has refused the belief?
If God appeared to neuroscience and said "I am", neuroscience would then consider the supernatural as real. Neuroscience would then tell david777 that God had spoken to him. So how would I respond? Take another blue pill neuroscience and have a good lie down. This is the true definition of athiesm, "those who have not recieved the revelation". This is only logical neuroscience no matter how you attempt to define athiesm.
David: If God appeared to me and said, "I am" - in order to have a firm belief in the supernatural - I would need to first discover that I wasn't hallucinating, ascertain the material presence of God before me (matter, energy, etc.) and then be able to explain how that matter and energy appeared before me. If there was no other explanation other than the intervention of the supernatural, then I would not only consider it, but the scientific community would finally have evidence of the supernatural. However, as I said, it requires that I be able to disclaim any other possible explanation.
However, moving on, that definition of atheism doesn't work. Not only have you stated its logical without any sort of reasoning behind it, but it also paints everyone who does not believe in the Christian God as an atheist; you're basically stating that no matter how I - or an atheist, a Muslim, or a Hindi - define their own religion, that they do not believe in a God. I would have to say that "is rather narrow and submissive of that which it does not understand."
Your comment on "revelation" also alludes to another problem we would have. We agreed to a definition of God to be "creator of the universe". Under that definition, there's no "revelation", no division or separation, and not even - really - a reason to discuss the supernatural as there is no reason to assume, with that definition, that God is supernatural.
I'm going to assume that you're now referring to the God as it is in the Bible. To put it numerically, the Bible (Christian) - with the New and Old Testament - if about 774,746 (some containing more or less) - Let's call it a cool 800k.
The definition I described is about four words; put as an expression, the definition I gave to the definition you're alluding to is about 4:800,000...which is a 200,000 magnitude difference between the definition we worked with, and the ideas you alluded to. I hope that we can discuss this point in the future, David