but this does not change the fundamental fact that being rational involves evaluating claims like "is 1+1=2?" or empirical facts about the world such as "is there evidence for the existence of ghosts?" based on reason alone.

On of the claims is analytic. 1+1=2 is true by definition of what 2 means. There's little emotion involved.

When it comes to an issue such as is there evidence for the existence of ghosts? neither rationality after Eliezer's sequences nor CFAR argues that emotions play no role. Noticing when you feel the emotion of confusion because your map doesn't really fit is important.

Beauty of mathematical theories is a guiding stone for mathematicians.

Basically any task that doesn't need emotions or intuitions is better done by computers than by humans. To the extend that human's outcompete computers there's intuition involved.