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Mothematician post (hexbear.net)

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.

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[-] dat_math@hexbear.net 6 points 4 months ago* (last edited 4 months ago)

Not quite. The wording "equivalence classes of ... with respect to the relation R: aRb <==> lim( a_n - b_n) as n->inf" is key.

https://en.wikipedia.org/wiki/Equivalence_class

loosely, an equivalence relation is a relation between things in a set that behaves the way we want an equal sign to

For an element in a set, a, the equivalence class of a is the set of all things in the larger set that are equivalent to a.

this post was submitted on 02 Jul 2024
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