Olbers' paradox (H. Olbers; 1826): If the Universe is infinite, consistent, and unchanging then the whole sky at night would be bright -- concerning as bright as the Sun. The further you stared out into space, the more stars there would be, and therefore in any direction in which you looked your line-of-sight would ultimately impinge upon a star. The paradox is solved by the big bang theory that puts forth that the Universe is non-uniform, dynamic, and (perhaps) limited.