Depends on your definitions. Atheist just means 'without god'. 'Atheist' really just means 'someone who doesn't believe in god'. Gnosticism really speaks to knowledge. So a gnostic would be someone who knows (or at least claims to know) that their position is true.
So you'd have:
Gnostic Theist: Believes in a god or gods, and 'knows' it to be true.
Agnostic Theist: Believes in a god or dogs, but doesn't know it to be true.
Agnostic Atheist: Doesn't believe in a god, but doesn't know that there isn't one.
Gnostic Atheist: Doesn't believe in god, and 'knows' there is know god.
Some people go with 'agnostic' because many people believe it to mean the same as 'agnostic atheist', and 'atheist' to mean 'gnostic atheist', but few atheists will say that they know that no gods exist. They might say that some particular god can't exist for various reasons (logical inconsistencies, or whatever), but will stop short of saying any god can't exist.
Depends on your definitions. Atheist just means 'without god'. 'Atheist' really just means 'someone who doesn't believe in god'. Gnosticism really speaks to knowledge. So a gnostic would be someone who knows (or at least claims to know) that their position is true.
So you'd have:
Gnostic Theist: Believes in a god or gods, and 'knows' it to be true.
Agnostic Theist: Believes in a god or dogs, but doesn't know it to be true. Agnostic Atheist: Doesn't believe in a god, but doesn't know that there isn't one.
Gnostic Atheist: Doesn't believe in god, and 'knows' there is know god.
Some people go with 'agnostic' because many people believe it to mean the same as 'agnostic atheist', and 'atheist' to mean 'gnostic atheist', but few atheists will say that they know that no gods exist. They might say that some particular god can't exist for various reasons (logical inconsistencies, or whatever), but will stop short of saying any god can't exist.