atheists deny the existence of gods.
WRONG. Atheists simply don't care whether any god or gods exist or not. They simply take the attitude that nothing has convinced them of either way.
Science is atheistic. It doesn't care whether a god or gods exist or not. It simply doesn't go there.
Mathematics is atheistic. It doesn't care whether a god or gods exist or not. It simply doesn't go there.
Logic is atheistic. It doesn't care whether a god or gods exist or not. It simply doesn't go there.
Atheists are often scientists, mathematicians, logicians, or some combination of them.
The word 'theist' is one who believes in a religion or 'theology'. The prefix a- means 'not' or 'no' or 'none'. The word 'atheist' means one that has no religion or theology (and no belief).
On other words, their view is no view.
This word first appeared in the English lexicon around the late 14th century.
.....agnostics deny knowledge regarding the existence of gods.
An 'agnostic' means 'no god'. This is the view of the Church of No God, mostly made up of fundamentalists, often militant.
This word first appeared in the English lexicon around the mid 17th century.
Both words are Greek in origin, and transcribed into Latin virtually unchanged.