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A comment on An intutive counterexample to the axiom of choice. Parent comment

Re:An intutive counterexample to the axiom of choice by 101008 on Monday January 23, 2023 @08:49AM (#34488660)
If you sort this set after you apply your transformation, what's the number that comes right after pi?
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Re:An intutive counterexample to the axiom of choice by dsr_ on Monday January 23, 2023 @09:02AM (#34488791)
You can begin looking for it knowing just two facts: the last digit of pi, and the magnitude of that digit.

Easy!

[sarcasm]

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Re:An intutive counterexample to the axiom of choice by phkahler on Monday January 23, 2023 @09:23AM (#34489045)
This is all related to the ability to name a specific number. If there are reals that can't be named in a finite number of symbols, why can't there be integers like that as well?
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Re:An intutive counterexample to the axiom of choice by davrosthedalek on Monday January 23, 2023 @10:23AM (#34489848)
Because a property of the numbers we call integers is that we can name them. You can certainly rename some of the numbers which are indescribable and call that set your integers, but these are different integers than what everyone else talks about.
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