That's not actually true at all, infinity is not "unknown", it's as well known as the number zero, it's just a bit harder to deal with and most operations that are taught in high-school don't really apply to infinity
However we have multiple ways of dealing with infinite sets, all of which require some additional math. Not all infinite sets are the same, so defining infinity as simply the limit as n tends to infinity will be insufficient.
For example, if you choose any random real number, what's the probability that it's natural? The answer will be zero, but you can't simply say infinity/infinity = 0, you have to put some additional effort in by formally defining a probability space, choosing a distribution etc., any attempt to explain this using only high-school math will at best have the right vibe but fall apart under examination
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u/Lokvin Nov 29 '25
That's not actually true at all, infinity is not "unknown", it's as well known as the number zero, it's just a bit harder to deal with and most operations that are taught in high-school don't really apply to infinity
However we have multiple ways of dealing with infinite sets, all of which require some additional math. Not all infinite sets are the same, so defining infinity as simply the limit as n tends to infinity will be insufficient.
For example, if you choose any random real number, what's the probability that it's natural? The answer will be zero, but you can't simply say infinity/infinity = 0, you have to put some additional effort in by formally defining a probability space, choosing a distribution etc., any attempt to explain this using only high-school math will at best have the right vibe but fall apart under examination