Re: Incompleteness of Cantor's enumeration of the rational numbers

On 11/27/2024 04:31 PM, Richard Damon wrote:

On 11/27/24 4:33 PM, WM wrote:

On 27.11.2024 20:47, Jim Burns wrote:
>

Finite cardinals can change by 1
The cardinal |ℕᶠⁱⁿ| cannot change by 1

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Small wonder. Fuzzy properties like "many" cannot change by 1.

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Yes,
the sets can change membership by 1

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However,
the cardinalities of those sets cannot change by 1

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This proves that cardinality is a fuzzy property.
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Regards, WM

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No, it shows that infinite values act differently than finite numbers.

It seems you mostly are arguing since the types don't match
and a proper dimensional account doesn't exist.
Richard, you seem plenty sensible, what I'm saying is that
it doesn't seem like any kind of exercise in rational
communication, instead that it's just a howler troll bot
bent on the soft-ball straw-man not-rational not-communication.
Which is not rational communication, ....
WM, whatever's "fuzzy", needs further specification, then as
with regards to sometimes in fundamental logic that there
actually _is_ conflation, that most usually it's an exercise
that there is not.
So, you should forget about cardinals since you don't know them,
and just talk about relations, though it's often demonstrated
that WM doesn't seem to know anything very common-sensical
with regards to related rates, where he could readily show
that moving all the hats down to the end of the line would
be an infinite supertask.
It seems this is mostly arguing, not very well argumentation, ....