Re:Paradoxes of Probability and Other Statistical Strangeness
by dragonwriter on Tuesday June 13, 2017 @03:06PM
(#14547628)
> 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.
Re:Paradoxes of Probability and Other Statistical Strangeness
by SomeStupidPoint on Tuesday June 13, 2017 @03:55PM
(#14548053)
A 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.
Re:Paradoxes of Probability and Other Statistical Strangeness
by dorgo on Tuesday June 13, 2017 @03:56PM
(#14548061)
What about PI? We can represent it in terms of "we know what we are talking about" and we can distinguish it from other numbers.
Re:Paradoxes of Probability and Other Statistical Strangeness
by leni536 on Tuesday June 13, 2017 @04:49PM
(#14548517)
You can only have countable number of first or second order logic statements each defining a specific real number.
Re:Paradoxes of Probability and Other Statistical Strangeness
by ouid on Tuesday June 13, 2017 @11:20PM
(#14550472)
Those things sound equivalent, but I don't want to be the one to try to prove it.
Re:Paradoxes of Probability and Other Statistical Strangeness
by red75prime on Tuesday June 13, 2017 @02:22PM
(#14547237)
Run a random number generator (0-9) for each decimal position after the dot in parallel. This should do a trick.
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.