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From: Julio Di Egidio <julio@diegidio.name>
Newsgroups: sci.math
Subject: Re: Log i = 0
Date: Fri, 6 Jun 2025 15:03:53 +0200
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On 30/05/2025 02:11, Ross Finlayson wrote:
> On 05/29/2025 11:25 AM, WM wrote:
>> On 29.05.2025 17:37, Ross Finlayson wrote:
<snip>
>>> It seems you're describing a simple book-keeping of an integer continuum
>>> in areal terms.
>>>
>>> Also called a geometrization sometimes.
>>
>> Right. Do you understand the result?
> 
> You can build it in Katz' OUTPACING simply enough,
> that more is larger.
> 
> That depends on a particular structure though, like geometry,
> or often enough the integer lattice.
> 
> Then that something is recursively self-similar, like the
> "infinite balanced binary tree", any node of which is a copy
> of the root, or "square Cantor space" where all the sequences
> of 0's and 1's are in lexicographic order in the language of 2^w,
> that's mostly defined by square Cantor space being an arithmetization
> of a geometrization of a line-drawing the interval [0,1].
> 
> The only way I'd suggest you're making sense at all is to
> agree with everything I say, and retroactively.

Yep, except that "Cantor" arithmetizes [0,1] into [0,1).

-Julio