> people are confused about infinity because they think it has a unique referant while in fact positive and negative infinity are different?
No, that is a different point. The point is that positive infinity would be better treated as multiple different values and trying to mesh them all into one quantity leads to trouble. We differentiate between 2,4,6 and don’t use an umbrella term “a lot”. Should you do so you could run into trouble with claims like “a lot is divisible by 4″ (proof following 4/4=1 affirms, proof following 6%4!=0 refuses).
I did a bad job of fighting ambigioity of the word infinity. Of the listed understandings 2 is closes but I am really pointing ot transfinitism that there are multiple values outside of all finites that are not equal to each other (ie a whole world to play with instead of single islands).
> people are confused about infinity because they think it has a unique referant while in fact positive and negative infinity are different?
No, that is a different point. The point is that positive infinity would be better treated as multiple different values and trying to mesh them all into one quantity leads to trouble. We differentiate between 2,4,6 and don’t use an umbrella term “a lot”. Should you do so you could run into trouble with claims like “a lot is divisible by 4″ (proof following 4/4=1 affirms, proof following 6%4!=0 refuses).
I did a bad job of fighting ambigioity of the word infinity. Of the listed understandings 2 is closes but I am really pointing ot transfinitism that there are multiple values outside of all finites that are not equal to each other (ie a whole world to play with instead of single islands).