[jonath_laurent]

I am in fact disputing this empirical fact, or at least the interpretation of it that is suggested in the article.

There is no such thing in mathematics such as an unresolved dispute over whether or not a five line proof with elementary concepts is flawed or not. The only possible situations are: 1) the proof can be checked to be correct at the level of axioms, 2) an incorrect reasoning step can be pointed to or 3) the proof is ambiguous and/or people cannot agree on what is being proved.

There isn't really a mathematical literature about the two envelopes paradox because the paradox is not really interesting from a mathematical standpoint. Or at least, making it interesting from a mathematical standpoint would require presenting a different argument than the one presented in the Wikipedia article. There may be a scholarly debate about different philosophical or linguistic aspects of this paradox. However, there is certainly no debate about where the flaw is in the presented switching argument once you make it precise enough.

(And the answer should not involve infinite series unless you are looking at a different, strong-arm version of the argument.)