Philosophy
The Epistemology of Religious Experience and Mystical Perception
Quick fact
William James, in The Varieties of Religious Experience, famously argued that mystical experiences are 'noetic'—they are felt as states of knowledge, not mere emotions, yet they often defy description and are transient.
Why this is interesting
You might think that seeing is believing—but what if the 'seeing' is a glimpse of God, not a physical object? Could that experience ever count as evidence, no matter how convincing it feels?