Re: Contradiction of bijections as a measure for infinite sets

On 4/2/2024 6:06 PM, Ross Finlayson wrote:

On 04/02/2024 02:40 PM, Jim Burns wrote:

On 4/2/2024 4:52 PM, Moebius wrote:

Am 02.04.2024 um 19:51 schrieb Jim Burns:

ℚᶠʳᵃᶜ

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Very nice idea!

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Thank you.
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Of course, "i/j as fraction not rational"
is WM's idea. I'm only trying to keep
the expression of those ideas from making
the ideas themselves hard to discern.
>
My exploration of Unicode is a little treat
I give myself for having to repeat the same thing
over and over and over.

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Doesn't it repeat itself,
and we just echo it?

Speech with no speaker?
Not a thing I've seen around here, at least.
Perhaps that is the target which ChatGPT and such as
are aiming at. I ask you to take me at my word
when I claim to be a Natural.Intelligence,
something between a chimp and an angel.
What makes my brain.cells buzz is that
it is _the existence of speech_ of a certain nature
which is our Big Stick when we are learning about
the Infinite, even if it is utterly divorced from
the identity of the speaker.
Maybe that sort of speech "repeats itself"
in your view?
I don't see it that way. Irrelevant ≠ nonexistent.
_Which_ slice of dead tree or horde of phosphor dots
holds a certain sonnet might be irrelevant,
but if they were nonexistent...
Ooh, scary thought.
Push back the darkness, all of y'all!
29.
When, in disgrace with fortune and men’s eyes,
I all alone beweep my outcast state,
And trouble deaf heaven with my bootless cries,
And look upon myself and curse my fate,
Wishing me like to one more rich in hope,
Featured like him, like him with friends possessed,
Desiring this man’s art and that man’s scope,
With what I most enjoy contented least;
Yet in these thoughts myself almost despising,
Haply I think on thee, and then my state,
(Like to the lark at break of day arising
 From sullen earth) sings hymns at heaven’s gate;
    For thy sweet love remembered such wealth brings
    That then I scorn to change my state with kings.
-- William Shakespeare