#zfc — Public Fediverse posts

'Im Mittelpunkt'
#fotoVorschlag #photoSuggestion
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So we have { 1, 2 } ∈ Fin₁ ⊆ Fin₁ₐ ⊆ Fin₂ ⊆ Fin₃ ⊆ Fin₄ ⊆ Fin₅ ⊆ Fin₆ ⊆ Fin₇

If a set is in Fin₁ then it is considered finite by all the other definitions.

But since the axiom of choice is equivalent to saying every set can be well-ordered, if we accept it VII-finite sets are equinumerous with a finite ordinal and so Fin₇ ⊆ Fin₁ and so the differences between these definitions collapse and ZF becomes ZFC, which is a widely accepted basis for Set Theory.

My consultation with math resources was inspired by a blog post:

https://www.infinitelymore.xyz/p/what-is-the-infinite

#Metamath #ZFC #SetTheory #AxiomOfChoice #FiniteSet #Infinity

Any #mathematics professors want to take a shot at explaining to someone with say a typical math major undergrad background what the deal is with the recent introduction of exacting and ultraexacting cardinals?

#math #maths #settheory #zfc

https://arxiv.org/abs/2411.11568

HFC beendet Durststrecke und besiegt Meuselwitz

Halle mit leichtem Chancenplus Den Spielern des Halleschen FC merkte man die Anspannung an, in der Offensive ging…
#Halle #Saale #HalleSaale #Deutschland #Deutsch #DE #Schlagzeilen #Headlines #Nachrichten #News #Europe #Europa #EU #Halle(Saale) #Fußball #Georg-MartinLeopold #Germany #HallescherFC #HFC #MDR #Regionalliga #RobertSchröder #Sachsen-Anhalt #SpiO #SportimOsten #ZFC #ZFCMeuselwitz
https://www.europesays.com/de/473800/

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