i genuinely dont know, and reading all of these big word replies is scaring me. someone explain in video game terms (preferably not turn based rpgs i hate those)
Set theory is absolutely useless and only used by butthole professors to make students drop out of university. Why do I need to learn union and intersection and proofs if I just want to do a CS degree? I want to a video game programmer and not a mathematician specializing in Cartesian products.
wtf, why would anybody drop out over set theory? discrete maths is easily the easiest of any math classes you'll take for a CS degree. Calculus is what filters people, not set theory lmao.
>Calculus is what filters people, not set theory
Depends on how far you're taking it.
Baby set theory is just definitions and naive proofs. On the other hand, axiomatic set theory can filter you out of sheer boredom and autism.
It should be self evident what they are. It's a box of things following a certain set of rules. Anything that follows those rules is in that box. The box rule could just be '7' and the box would simply be {7}.
literally, unironically this. set theory can be directly constructed from logic, which is the most natural construction. A set is nothing but a placeholder, in some sense a notational reduction to writing out "x element of A" all the time, which is nothing else but a logical statement, being either true or false.
A set is literally just a container for distinguishable objects. It's intuitively obvious. Naive set theory works. Deal with it. Russell was a midwit and his paradox isn't a paradox at all.
A set is any mathematical object that identifies as a set.
Identifies as a what?
Sorry but if you continue with those mathphobic rethorics we'll end interview early
A troony.
Is a collection of elemenrs where every element is unique, if this is not formsl enough for you then read on zfc
I know what ZFC is, and it doesn't explain or define what a set is.
Sets are magic. There's no reason to explain it chud.
A class that happens to be a member of another class.
So the class of all classes is a set?
No it’s a class.
There is no class of all classes, because proper classes don't belong to any class.
A miserable little pile of elements!
But enough talk, have at you!
i genuinely dont know, and reading all of these big word replies is scaring me. someone explain in video game terms (preferably not turn based rpgs i hate those)
just collections of thangs but not collections of collections
Collections of gachas in one mobile game but not collections of gacha games.
sets are the objects of a set theory
Sets are objects in the category of sets
Set theory is absolutely useless and only used by butthole professors to make students drop out of university. Why do I need to learn union and intersection and proofs if I just want to do a CS degree? I want to a video game programmer and not a mathematician specializing in Cartesian products.
wtf, why would anybody drop out over set theory? discrete maths is easily the easiest of any math classes you'll take for a CS degree. Calculus is what filters people, not set theory lmao.
>Calculus is what filters people, not set theory
Depends on how far you're taking it.
Baby set theory is just definitions and naive proofs. On the other hand, axiomatic set theory can filter you out of sheer boredom and autism.
>I want to a video game programmer and not a mathematician specializing in Cartesian products.
Oh, sweet summer child...
It should be self evident what they are. It's a box of things following a certain set of rules. Anything that follows those rules is in that box. The box rule could just be '7' and the box would simply be {7}.
>It's a box of things following a certain set of rules.
What are the rules?
Whatever you want them to be.
>What are the rules?
the axioms of set theory.
you would know if you actually opened a fricking book
Lmao you dont know what youre talking about kid. Go actually read the axioms of set theory before commenting such nonsense.
Please list the rules that a box must follow to be considered a set. Thanks.
what about the box containing all groups?
we call that your mom
sets are elements of themselves
and i won't hear otherwise, okey?
It's a circle on a piece of paper. It can contain little bubbles you draw inside of it called elements
If A is a set, you can ask whether or not B is in A, and A will tell you "yes" or "no". There is nothing else you can do.
It is possible to construct A's that cannot answer the question, so we have ZFC to ensure we can answer the question
literally, unironically this. set theory can be directly constructed from logic, which is the most natural construction. A set is nothing but a placeholder, in some sense a notational reduction to writing out "x element of A" all the time, which is nothing else but a logical statement, being either true or false.
"Set" is word that means "many things"
You can see rock, you can see tree, those are things. "Rock and tree" is many things, a set. "Rock and tree and boar" is many things, a set.
Is this Grug enough for you?
take all the people you have convinced to believe in your delusional desire to be a woman.
this is a set.
>a set of what?
of people you convinced to believe in your delusional desire to be a woman
An array of numbers
A set is an unordered list defined such that it is entirely unambiguous whether a given object is a member.
A set is literally just a container for distinguishable objects. It's intuitively obvious. Naive set theory works. Deal with it. Russell was a midwit and his paradox isn't a paradox at all.