What's ZFC?
What's ZFC?
Lucas Torres
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Jordan Cruz
Josiah Harris
Why do we need anything except the usual axioms we know?
Sebastian Allen
those are the usual axioms we know though?
Luis Gray
>Today ZFC is the standard form of axiomatic set theory and as such is the most common foundation of mathematics.
Maybe?
Jeremiah Davis
>Why do we need anything except the usual axioms we know?
Sometimes one wants to work within the category of all axioms
Parker Wood
An inconsistent piece of garbage.
Brayden Ortiz
>he's doing it again! haha, what a madman!
Nolan Peterson
Why is is inconsistent?
Connor Ortiz
it's not
Jeremiah Rivera
But you can't prove it is consistent. Shit theory.
Jayden Gonzalez
you can't prove you exist and yet you're here shitposting
Evan Williams
I think, therefore I am.
Sebastian Bailey
>>he's doing it again! haha, what a madman!
I'm not a "he".
Connor Reed
>>he's doing it again! haha, what a madman!
Who are you quoting?
Carter Brooks
>But you can't prove it is consistent. Shit theory.
Conjectures are natural in mathematics though, might as well get used to it
Nathaniel Morris
if you could prove it's consistent, it wouldn't be.
Christian Edwards
>a statement not being provable
>Conjectures
Engineer spotted.
Nicholas Williams
Why is it not provable?
Noah Hughes
It's not provable assuming ZFC is consistent, which is obviously false, but that's what the initial post assumed.
Jayden Green
Why can't I conjecture that it's consistent?
Jaxon Lopez
A statement being provably unprovable is not the same as it being a "conjecture".
Carson Cooper
Well then what's wrong with it being unprovable?
Easton Watson
Too weak
Grayson Miller
Nothing.
Matthew Peterson
>everything is a theorem
>too weak
Huh?
Daniel Thomas
Not that I have anything against V=L, but if you're gonna post
>too weak
one could also post
>irrelevant
to those kinds of axioms. Irrelevant for anything but people who already study set and model theory.
James Bailey
Yes you are faggot.
Bentley Gonzalez
>people who already study set and model theory
People wouldn't be studying set theory.
Josiah Perez
does this sentence miss a piece?
Blake Bell
Nope. Those who study set theory aren't really people.
Austin Hill
>faggot
Why the homophobia?
Cameron Myers
...
Samuel Allen
Ah, I see. Well you need to study some basic set theory at least to git gud with tensor products and such.
Jeremiah Myers
>Yes you are faggot.
Unfortunately for you, you don't get to determine by pronouns or my gender.
Andrew Rogers
>basic set theory
That's not the kind of set theory people mean when they bring up "V = L".
>tensor products
You only need it to establish their existence, and even that is possible without using much basic set theory.
John Long
kek