The question of the knowability of God and the belief of his existence are two distinctly different propositions:
p=”God exists” (ontology) vs p=”knowledge of God existing is possible” (epistemology)
By smashing together or juxtaposing terms like “agnostic” and “atheist” the intended usage of the phrase “agnostic atheist” is a vague mishmash of terminology, and quite ambiguously confusing as it can seemingly mean:
I believe God does not exist, and not asserting as knowledge. (atheism).
I believe God does not exist, and believe God’s existence is knowable. (atheism + soft agnosticism)
I believe God does not exist, and do believe God’s existence is unknowable. (atheism + hard agnosticism)
I do not believe God exist, and not asserting as knowledge. (soft atheism)
I do not believe God exists, and believe God’s existence is knowable. (soft atheism + soft agnosticism)
I do not believe God exist, and do believe God’s existence is unknowable. (soft atheism + hard agnosticism)
Agnostic atheist (Logically)*
~Bq ^ B~p
Bq ^ B~p
B~q ^ B~p
~Bq ^ ~Bp
Bq ^ ~Bp
B~q ^ ~Bp
*EDIT: I have changed the epistemic statuses to belief predication as I had Kp, K~p, and ~Kp…but realized that even with Agnostic Atheist, “Agnostic” here is still a belief position ABOUT the knowledgeability of Gods.
The reason it’s “unknown” with ~Bp is that one can lack a belief because:
1) They can be agnostic and not have a position either way (~Bp ^ ~ B~p).
2) They can believe p is false (B~p) which entails they do not believe p (~Bp).
So it is ambiguous and unknown.
Leading into even more ambiguity, it could also mean:
“I do not believe nor disbelieve that I believe God exists” (Agnostic on being atheist?)
“I do not believe nor disbelieve that I do not believe that God exists” (Agnostic on lacking a belief?)
“I do not believe in God, and I don’t know if God exist” (At best this is superfluous as if you don’t believe in God you clearly don’t know if God exist, and at worse it is nonsensical as knowledge is a subset of belief)
“I believe God does not exist, and I don’t know if God exists” (Superfluous, same as just atheism)
Once again, I firmly believe people can use any terminology they wish to label themselves…but I am merely pointing out that such use of terminology is vague, imprecise and I believe epistemically misguided. The usage of the words “theist” and “atheist” are to convey ones ontological position on the existential nature of God, not to express any epistemological views on whether or not God’s existence is knowable or not. These are two different propositional questions in two different branches of philosophy…ontology vs epistemology. When one says that they are “agnostic” it normatively infers a state of indecision on the question of “Does God Exist?” or suspension of judgment on the proposition p=”God exists”. They are merely related in that when one suspends judgment on the ontology because of indecision, because agnosticism is also a normative epistemic principle as well as an epistemological proposition, it can be modified to mean the existence of God is knowable or may be knowable (soft agnosticism) or can not be known (hard agnosticism). While it is true it is not a direct answer to the ontological question, it is a response and it is a response with nuance. Nuance that is simply lost when people injudiciously use phrases like “agnostic atheist”.