>>173
>Really, I think we agree that 0.999~ = 1, but I'm arguing that 0.000...1 is nonsensical while you're arguing that it's a valid concept. Come to think of it, I would agree that 0.000...1 is a valid concept, as the infinitesimal. But that's not how the infinitesimal is defined, and I still say 0.000...1 is a stupid way of writing it.
No, god no. That would make no sense as the definition of an infinitecimal because it's zero.
An infinitecimal is a FINITE, NON-ZERO value; it's defined as being small enough to satisfy whatever arbitrary precision (error) you need, no matter how small.
I can't believe this fucking thread is still going on. I can't believe
>>157 thinks there's actually some debate about whether 0.999~ equals 1. Drop out of school and go bag my fucking groceries.