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Do you believe in free will?
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What about randomness? Most people would say to be random is not to have free will.
This depends, because there are two different kinds of randomness. A lot of the "randomness" that people encounter is actually based upon something, and our theoretical entity with access to perfect information could predict the outcome of that randomness perfectly. I'm thinking of stuff like computer randomness, number generation, games of chance, that sort of thing.
However, true random absolutely exists; in the words of Terry Pratchett "Things just happen, what the hell." You see it with mutations in nature; ordinarily healthy cells can spontaneously change without directed input. It is unpredictable, even for our theoretical entity.
Or like quantum systems, in the interpretations that prevent alternate universes. The first kind is called "pseudorandomness" in mathematics.
Usually, when people say free will they don't just mean that their decisions are random, though.