I have watched many videos on YouTube about it from people like vsauce, veratasium and others and even my math tutor a few years ago but still don’t understand.
Infinity is just infinity it doesn’t end so how can there be larger than that.
It’s like saying there are 4s greater than 4 which I don’t know what that means. If they both equal and are four how is one four larger.
In: Mathematics
You’re reading too much into it. Infinities don’t physically exist, they are just a mathematical toy. It’s just saying “This is the way we generate numbers and in this way we can generate an unlimited amount of numbers”.
“Larger” in this case is also a mathematical trick. It’s not your normal everyday “larger”. We can’t compare infinities like we can compare numbers. So we say okay if we can somehow define a “bijection” between two infinite sets then we call them “equal”. Bijection means each element of these two sets has exactly one pair in the other set. If we can’t do this then the one that always has leftover elements is “larger”.
So you follow this train of thought and the conclusion is under this specific definition of “larger”, some infinities are larger. It’s not something you can visualize.
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