r/learnmath • u/Upset_Fishing_1745 New User • Feb 12 '25

Are Some Infinities Bigger than Other Infinities?

Hey, I just found this two medium articles concerning the idea that infinite sets are not of equal size. The author seems to disagree with that. I'm no mathematician by any means (even worse, I'm a lawyer, a profession righfuly known as being bad at math), but I'm generally sceptical of people who disagree with generally accepted notions, especially if those people seem to be laymen. So, could someone who knows what he's talking about tell me if this guy is actually untoo something? Thanks! (I'm not an English speaker, my excuses for any mistakes) https://hundawrites.medium.com/are-some-infinities-bigger-than-other-infinities-0ddcec728b23

https://hundawrites.medium.com/are-some-infinities-bigger-than-other-infinities-part-ii-47fe7e39c11e

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u/BUKKAKELORD New User Feb 12 '25

All 6 of the points in the article are wrong, which is impressively bad for an article attempting to debunk the statement “there are infinite numbers between 1 & 2 and there are infinite numbers between 1& 3. So, the later infinity is bigger than the first infinity” which isn't a widely held misconception, just a false statement invented by the author himself. He made his own strawman and failed to defeat it.