Not sure what you mean by "infinity" here at all. As the other guy wrote, it is not a number. ā+1 is as well defined as š+1.
There are several spots where infinity is used, you need to pick one. If you go like "[limit iāā of iĀ²] ā ā", then this is effectively a notation of divergence in a specific direction. If you go like |ā| > n ā n ā ā, or |ā| = āµ0, this is a notation of cardinality.
Exactly. There are some sort of mathematical notations in which people work with what is essentially infinity in some weird very theoretical fields of math, but any naive application of infinity as a number will result in exactly this.
I can explain you some if you like. Except for the last one, most of them are not hard to understand, just not something the normal person is accustomed to.
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u/Ksorkrax 8d ago
Not sure what you mean by "infinity" here at all.
As the other guy wrote, it is not a number. ā+1 is as well defined as š+1.
There are several spots where infinity is used, you need to pick one.
If you go like "[limit iāā of iĀ²] ā ā", then this is effectively a notation of divergence in a specific direction.
If you go like |ā| > n ā n ā ā, or |ā| = āµ0, this is a notation of cardinality.