scientific progress normally proceeds in an orderly fashion. however, many breakthrough discoveries in science have come about by luck or accidents. give a specific example for such occurrences.
Well, there is a good anecdote from history: Archimedes of Syracuse was said to have discovered hydrostatics - the displacement of mass within water - while mulling over a problem about a "golden crown" while taking a bath. He noted the bath water rose as he entered it and this gave him the idea of volumetric displacement.
that is called serendipity
Kekulé dreamed about the structure of benzene, as a snake biting it's own tail, and thus found the ring structure.
einstein asked a painter that had fallen from a scaffold if he experienced the earth as attracting him. The painter said that the earth had not attracted him but gave him a real hard repelling force instead, this gave the professor some ideas to ponder about?
And Newton got an apple on his head. The first trauma that culminated in a theory of gravity.
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