What do you believe is true even though you cannot prove it?
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?
Interesting answers from such intellectuals as Richard Dawkins, Jared Diamond, Benoit Mandelbrot (The inventor of fractals), Ian McEwan: "...that no part of my consciousness will survive my death.", Michael Shermer: "...that reality exists over and above human and social constructions of that reality."
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