As far as I'm concerned, purity is more fundamental than impurity, because we can always emulate impurity using a pure language (as is shown in this article), but it's not possible to emulate purity using an impure language. This only leaves us with the challenge of performance. While we can always describe e.g. x86 assembly in terms of a pure intermediate representation language (e.g. GHC Core), transforming this de…
Purity is tricky to define. For example (stolen from Reddit user gasche), if you can measure how much time a computation takes, then Haskell is impure, because a lazy value takes longer to compute the first time than the second. You could try to patch it up by saying the impurity must be observable via pure code, but that makes the definition circular. And that raises another problem, where printing to standard outpu…
I don't see why this is an issue when pseudo-random generators are in fact deterministic yet for purposes of pivot selection the seed does not need to be fresh on each invocation barring an adversarial context, in which you'd just pass in the seed from the effectful part of the program.