Statements of total disbelief
Since a statement of complete disbelief must contain at least one correctly-chosen exception, it is paradoxically also a strong statement of belief, exactly in that one exception. Example: 'I do not believe in any gods except for the one true god'. Then, what about 'I do not believe in any unicorns except for the one true unicorn?' Here, it depends on the definition of unicorn. In terms of the lambda calculus, both statements will most likely turn out to be alpha-equivalent. Only the form of what you say, really matters.
Atheists also disbelieve in any gods, but they would probably want to use another exception to keep their total disbelief consistent. What alternative exception do atheists propose?