question 1: how does this infinite lottery works? not clear from this piece nor from the original article, which I was able to find on arxiv, and where the inf

question 1: how does this infinite lottery works? not clear from this piece nor from the original article, which I was able to find on arxiv, and where the infinite lottery is never mentioned (the results is stated in terms of moern set theory): https://arxiv.org/pdf/1904.05824.pdf https://arxiv.org/pdf/1904.05824.pdf