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Where do we get our mathematical symbols from? Why is the set of integers called ℤ ? When was the equals sign first used? How about zero? Good notation tends to catch on quickly, whereas bad notation can obscure beautiful theory.
Humans use computers to do gigantic calculations which would be impossible to do by hand – for example, weather prediction. But could an AI go beyond that and come up with a proof of a theorem which has stumped humankind?
Quantum science has been one of the most successful and useful theories ever invented. Indeed quantum technology was added as the ninth of the original eight great technologies.