A few days ago I wrote about scientific thinking as an antidote to intuition. Not just an alternative to it, but something like the opposite of intuition. The intentional, energy-consuming move to a systematic deliberative mode of thought is utterly different from the easy and instantaneous nature of intuition.
Some of our intuitions are clearly built-in. Many of the famous failings of our intuitive System 1, described by Daniel Kahneman in Thinking, Fast and Slow, seem to be hard-wired. Some are perhaps the unavoidable result of trade-offs that buy speed and decisiveness at the expense of accuracy and completeness. Others might be adaptive despite being occasionally delusional: I'm thinking here of optimism bias. Some days we just need some good old optimism bias!
But some of our most famous intuitions are more complex and a bit harder to attribute to brain wiring or adaptive tricks. These are intuitions that seem to affect how we see the whole world, all of existence, all day. I think it's intuition (and nothing else) that makes us feel that something complex, that shows design, must have come from a designer. That a universe has to have a beginning, and therefore a "beginner." That a mind like ours must somehow come from a bigger mind somewhere else. That seemingly uncaused events must have had a cause. Which are all probably related to a sense that the universe is haunted.
I'm not sure that these intuitions are all universally human—some are likely to be deeply cultural. But the point is that well beyond our intution that the sun moves through the sky or that the earth can't be a spinning ball, there are intuitions about the very fabric of existence.