I've always argued with my dad about this. He's a lot smarter than I am, but I'm an undergrad for a STEM major so I feel like I have enough understanding of infinity to ask about this
I don't understand why people call uncountable infinities "bigger" than countable infinities. Both are infinity - there is no end, so how can one be bigger than another? If I wrote out an equation that ended with infinity 1>infinity 2, is there a world where I would be correct, given that infinity 1 is an uncountable one and 2 is countable?
I feel like saying one infinity is bigger than another is an oversimplification. There are different types of infinities, sure, but infinity is more of a concept than a number. Saying one is bigger than another implies they have some sort of comparable size, but they really don't.