Great minds can sometimes guess the truth before they have either the evidence or arguments for it (Diderot called it having the "esprit de divination"). What do you believe is true even though you cannot prove it?
Among the thinkers asked this question are Freeman Dyson, Esther Dyson, Marc Hauser, Margaret Wertheim, Steven Pinker, Martin Seligman, Ray Kurzweil, and Michael Shermer.
Edge asks a different question at the beginning of every year. Some examples: "What Questions Are You Asking Yourself?"; "What Is The Most Important Invention In The Past Two Thousand Years?"; "What Questions Have Disappeared?".
Check 'em out, and the regular articles, too, which run the gamut from Physics to Biology to Psychology to Culture. It's a great resource.