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Le 27/04/2024 à 19:38, Richard Damon a écrit :Finite sets, not like the infinite sets we were otherwise talking about.On 4/27/24 10:54 AM, WM wrote:Le 26/04/2024 à 21:10, Richard Damon a écrit :On 4/26/24 1:06 PM, WM wrote:>Le 26/04/2024 à 04:08, Richard Damon a écrit :Maybe you should. "Order Types" are not "Numbers" but properties of how you order the set of numbers.On 4/25/24 3:51 PM, WM wrote:>Le 24/04/2024 à 20:08, FromTheRafters a écrit :>WM explained :>Le 24/04/2024 à 12:49, FromTheRafters a écrit :>Richard Damon wrote :>>Of course, if you logic tries to make that transfinite value finite because that is all it can handle, your system just blows up in your face.>
IMO, it might be best not to think of it as a value at all.
Cantor called it a number.
A number representing an order type.
like 2 or 5.
No, because 2 or 5 were FINITE numbers, not transfinite numbers.
Learn what an order type is according to Cantor.
>
Your ignorance is actually unlimited.
Cantor created and defined these notions: Den Ordnungstypus einer wohlgeordneten Menge F nennen wir die ihr zukommende "Ordnungszahl".Right, and 2 or 5 are not assigned as a number for an ordinal type.Your ignorance is actually unlimited but your capability to learn is zero.
There is no set with an Ordinal Type of 2 or 5.What are (1, 2) and (1, 2, 3, 4, 5) or (17, 28, 55, 67, 100)?
Regards, WM
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