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Usually in math we assume the axiom of choice :) https://en.wikipedia.org/wiki/Axiom_of_choice https://en.wikipedia.org/wiki/Axiom_of_choice I'm assuming this c
by georgewsinger 9y ago
Usually in math we assume the axiom of choice :) https://en.wikipedia.org/wiki/Axiom_of_choice https://en.wikipedia.org/wiki/Axiom_of_choice I'm assuming this could somehow lead to such a "random" pick in the technical sense.
In terms of implementation, I'm not aware of an algorithm that can randomly pick a real number on an actual computer. Perhaps a mathematician could show how to pick one on some abstract machine with infinite resources, and not constrained by finite bit representations of numbers.
- red75prime 9y agoRun a random number generator (0-9) for each decimal position after the dot in parallel. This should do a trick.
- dragonwriter 9y ago> In terms of implementation, I'm not aware of an algorithm that can randomly pick a real number on an actual computer An actual (finite in time and space) computer can't even represent arbitrary real numbers, much less randomly choose them.
- SomeStupidPoint 9y agoA Turing machine can't pick random numbers of any kind. Once you accept that you have an entropy source in the physical world, you can easily be injecting random real numbers (from some range) and in fact, usually are, which are then being binned into integers by ADCs.
- dorgo 9y agoWhat about PI? We can represent it in terms of "we know what we are talking about" and we can distinguish it from other numbers.
- leni536 9y agoYou can only have countable number of first or second order logic statements each defining a specific real number.
- ouid 9y agoThose things sound equivalent, but I don't want to be the one to try to prove it.