I think you have failed to limit your thinking on this subject.
WWG1WGA
Garde la Foi, mes amis! Nous nous sommes les sauveurs de la République! Maintenant et Toujours!
(Keep the Faith, my friends! We are the saviors of the Republic! Now and Forever!)
LonePalm, le Républicain du verre cassé (The Broken Glass Republican)
.999 to infinity is not 1.000 to infinity, its an incongruity and noted as such in math texts.
Is that akin to where the ‘proof’ that 2 + 2 can sometimes = 5 comes in? I don’t remember. I understood it at the time in class decades ago but it has faded in clarity.