tag:blogger.com,1999:blog-3891434218564545511.post586113702043935711..comments2024-03-28T19:56:42.305-05:00Comments on Alexander Pruss's Blog: Independence and probabilityAlexander R Prusshttp://www.blogger.com/profile/05989277655934827117noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-3891434218564545511.post-78445587034919309192020-07-30T03:15:48.234-05:002020-07-30T03:15:48.234-05:00This strikes me as an odd property to focus on. Us...This strikes me as an odd property to focus on. Usually we are reversing this, to generate correlated random variables with specified properties by appropriately combining independent random variables. The identification of true independence (and true randomness) requires statistical testing of the properties of the collection of your events of interest (eg distribution of moments), which will be only ever inductive (which I presume you would classify as rational).David Duffyhttps://www.blogger.com/profile/12142997170025811780noreply@blogger.com