Alfred Tarski - 1924 - Sur quelques théorèmes qui équivalent à l'axiome du choix скачать в хорошем качестве

Alfred Tarski - 1924 - Sur quelques théorèmes qui équivalent à l'axiome du choix

In this video I take a look at Alfred Tarski's 1924 journal article titled "Sur quelques théorèmes qui équivalent à l'axiome du choix" or "On some theorems which are equivalent to the axiom of choice". In this article, Tarski proves the equivalence of seven propositions concerning transfinite cardinal numbers with the Axiom of Choice. In this video I give some brief explanations of some of the trickier parts of the proofs and, also, fill out some of the details. I have translated (or, at least, tried to translate) the article, which was originally published in French, into English so no French is needed for this video. The original article can be found at : https://bibliotekanauki.pl/articles/1... I mention a 1908 journal article by Jourdain in the video which can be found at : https://archive.org/details/sim_mathe... All translations in this video into English are copyright John Fletcher 2022 unless otherwise indicated.