>>498
>で？「箱入り無数目」は真のパラドックスですか？疑似パラドックスですか？
>「箱入り無数目」から矛盾が導けますか？私はいまだそのような証明は見ておりませんが

「箱入り無数目」の前に
・>>415 Alex Pruss
"Example: I am going to uniformly randomly choose a positive integer (using a countably infinite fair lottery, assuming for the sake of argument such is possible). For each positive integer n, you have a game available to you: the game is one you win if n is no less than the number I am going to pick. You despair: there is no way for you to have any chance to win, because whatever positive integer n you choose, I am infinitely more likely to get a number bigger than n than a number less than or equal to n, so the chance of you winning is zero or infinitesimal regardless which game you pick. But then you have a brilliant idea. If instead of you choosing a specific number, you independently uniformly choose a positive integer n, the probability of you winning will be at least 1/2 by symmetry.
　Thus a situation with two independent countably infinite fair lotteries and a symmetry constraint that probabilities don’t change when you swap the lotteries with each other violates independence conglomerability."
　これは？
・つまり、この”For each positive integer n, you have a game available to you: the game is one you win if n is no less than the number I am going to pick.
　You despair: there is no way for you to have any chance to win, because whatever positive integer n you choose, I am infinitely more likely to get a number bigger than n than a number less than or equal to n, so the chance of you winning is zero or infinitesimal regardless which game you pick.
　But then you have a brilliant idea. If instead of you choosing a specific number, you independently uniformly choose a positive integer n, the probability of you winning will be at least 1/2 by symmetry.”
　つまり、この可算無限(using a countably infinite fair lottery, assuming for the sake of argument such is possible)
　において ある場合には ”You despair: there is no way for you to have any chance to win,”
　ある場合には、”If instead of you choosing a specific number, you independently uniformly choose a positive integer n, the probability of you winning will be at least 1/2 by symmetry.”
・”Thus a situation with two independent countably infinite fair lotteries and a symmetry constraint that probabilities don’t change when you swap the lotteries with each other violates independence conglomerability.”
　は、矛盾なのか？ 疑似パラドックスなのか？

まずは、そこから