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On 3/29/2024 8:13 AM, Richard Damon wrote:Maybe for olcott's unspecified olcott numbers. For real numbers 0.999... equals 1.0. There are many proofs. See e.g.On 3/28/24 11:50 PM, olcott wrote:That is not true. 0.999... means never reaches 1.0On 3/28/2024 10:36 PM, Keith Thompson wrote:>olcott <polcott2@gmail.com> writes:>
[...]It seems dead obvious that 0.999... is infinitesimally less than 1.0.>
Yes, it *seems* dead obvious. That doesn't make it true, and in fact it
isn't.
>
0.999... means that is never reaches 1.0.
and math simply stipulates that it does even though it does not.
>
0.999... isn't a "number" in the Real Number system, just an alternate representation for the number 1.
>
https://en.wikipedia.org/wiki/Construction_of_the_real_numbers
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