Machine generated contents note: 1.Approaching Galileo's science through a fable -- 2.Subtleties of vision and of the scientific revolution -- 3.Casting light on Galileo's contrasts -- 4.The lunar candour and the litheosphorus -- 5.Sensory surprises -- 6.Seeing mountains on the moon -- 7.Visible and invisible luminous peaks of lunar mountains -- 8.Visual limits and the visibility of infinitesimals -- 9.Heavens sensed -- 10.Galileo's sensory philosophy -- 11.The problem of Galileo's predecessors -- 12.A moon circle: celestial reflections and illusions with Sarpi, Galileo, and Castelli -- 13.Alternative visions -- 14.Galileo's visions.