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Re:How can some infinities be bigger than others? by ginnungagap on Thursday April 20, 2023 @06:11AM (#35638100)
He's associating to each x in [0,1) an infinite sequence of natural numbers (just like decimal representations do), and there's uncountably many such sequences
Re:How can some infinities be bigger than others? by yarg on Thursday April 20, 2023 @06:34AM (#35638217)
I may have misread that one, but I still think the reverse mapping only gets as far as within arbitrary bounds.
Re:How can some infinities be bigger than others? by yarg on Thursday April 20, 2023 @06:27AM (#35638188)
But he's defining the numbers with a property that makes them countably infinite?
Re:How can some infinities be bigger than others? by yarg on Thursday April 20, 2023 @06:50AM (#35638285)
The part that seems problematic is "each real number" the reals exist across bounds, I'm not sure there can be an "each".

I think his iterator is generating infinitesimals of rational and not continuous nature.