58
Mothematician post (hexbear.net)
submitted 2 years ago by to c/chapotraphouse@hexbear.net
47 comments fedilink hide all child comments
 

This little guy craves the light of knowledge and wants to know why 0.999... = 1. He wants rigour, but he does accept proofs starting with any sort of premise.

Enlighten him.

you are viewing a single comment's thread
view the rest of the comments
[–] [S] 1 point 2 years ago (3 children)

The ellipses mean infinity

No, it does not. The ellipsis notation is used to denote a repeating pattern. It is not used to denote points that are named 'infinity' in spaces like Aleksandrov compactification and the extended space of real numbers.

I am sorry, but your reply lacks rigour.

  • permalink
  • fedilink
  • source
  • parent
  • hideshow 3 child comments
    •
  • [–] 1 point 2 years ago (2 children)

    Is this a bit? I meant that the ellipses, in this context, mean that the nines go on forever. Obviously there are other symbols used to represent similar ideas, like ∞

  • permalink
  • fedilink
  • source
  • parent
  • hideshow 2 child comments
    •
  • [–] [S] 1 point 2 years ago (1 child)

    I'm being serious. The word 'infinity' refers to some points from spaces like Aleksandrov compactification. It does not refer to any sort of repetition of any pattern. You cannot, for example, write '0.999∞' or '0.999infinity' to mean the same thing as '0.999...' or '0.(9)'.

  • permalink
  • fedilink
  • source
  • parent
  • hideshow 1 child comment
    •