0.999… doesn’t map into 1 divided by {{0,1,2,3,4,5...}|} (=epsilon)
However those that disagree are obviously thinking something akin to 1-epsilon which is not equal to 1. However you can’t refer to it with a decimal system (atleast the standard one). Arguments that refer to (spesific) decimal places are therefore inapplicable. Reals are archimedian but surreals are not. For surreals there are elements a,b a>b so taht there is no N so that a<b*N (arbitararily large finite multiples of b are not guaranteed to bypass a).
0.999… doesn’t map into 1 divided by {{0,1,2,3,4,5...}|} (=epsilon)
However those that disagree are obviously thinking something akin to 1-epsilon which is not equal to 1. However you can’t refer to it with a decimal system (atleast the standard one). Arguments that refer to (spesific) decimal places are therefore inapplicable. Reals are archimedian but surreals are not. For surreals there are elements a,b a>b so taht there is no N so that a<b*N (arbitararily large finite multiples of b are not guaranteed to bypass a).