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Cake day: June 17th, 2023

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  • Not sure honestly, I can think of alternatives but I don’t know if they’re better. “Isomorphism of sets” is a fancy way of saying “bijection”, and “unique set up to isomorphism” is the same as “unique cardinal” but as you say it’s better to use terms that everyone knows. It might just be that “unique” being right at the beginning makes it easy to forget. Decoding the description is a fun part of the problem!


  • I thought that as well for a while so I was waiting for someone to say that! My claim that A is exactly ℵ2 is based on it saying “unique”, meaning there’s only 1 cardinality with the property described, between ℵ0 and A (which must be ℵ1). But I agree the wording is not very clear. The version without uniqueness is still a dilemma, it just means that it’s also possible for A to be larger than B even if CH is false.


  • ns1@feddit.uktoMath Memes@lemmy.blahaj.zoneCantor's Dilemma
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    3 days ago

    I’ll give this a go. The number of people at A is ℵ2 and at B is 2ℵ0. If the continuum hypothesis is true then there are ℵ1 people at B so A has more people, if it is false then either there are more at B or there could be equally many at A and B (if the star axiom is true).

    Either way infinitely many people are dying so it’s a sad story.











  • If it creates some jobs then that’s good regardless, but of course you’re still right and I saw in the article the quote from the local MP was along the same lines:

    “Mining is more capital intensive than it used to be, and not as labour intensive. Part of the challenge is sharing the prosperity”

    Personally I really hope this takes off as it could be great for Cornwall. The big challenge will be whether it can compete with international markets if it gets to that point.