Re: Replacement of Cardinality

On 8/15/2024 4:39 PM, Moebius wrote:

Am 16.08.2024 um 01:35 schrieb Chris M. Thomasson:

On 8/15/2024 3:59 PM, Moebius wrote:

Am 16.08.2024 um 00:51 schrieb Jim Burns:

On 8/15/2024 3:37 PM, Moebius wrote:

Am 15.08.2024 um 21:28 schrieb Jim Burns:

>

Defining ⅟𝔊 to be the smallest unit fraction
isn't a claim that ⅟𝔊 exists.

>
You need an existence proof [...]
BEFORE stating a/the proper definition.

>
Proving that [a unique] mimsy borogove exist[s]
before defining [the] mimsy borogove
seems like a pretty steep hill to climb.

>
No mater what you think, in math we HAVE TO climb this hill, and we do.
>

That's a hill which I doubt we need to climb.

>
Fuck you, asshole. Want't to be the the next crank in sci.math? (After all the other cranks have left?)

>
Wrt sqrt(2), afaict anytime we create a unit square, we have the sqrt(2) in all of its irrational infinite glory as a diagonal.

 Right. In the context of geometry (with real "distances"/lengths of line segments).
 

Sometimes I wonder what WM is on, if anything at all... As if, on purpose? He has to know better, right? Wrt teaching students!? WM is not on this, right?
https://youtu.be/p-2fd-eUUf8?list=PLK3M3YfeucQnOu_Ro044ygziNnjw9DFBe