In ZFC, a set is a primitive notion. That means it is not defined in terms of anything else. Properties of sets, whatever they are, is inferred from the axioms of ZFC. Intuitively, a set is a collection of objects.

No, the sack serves as the exterior boundary of the set. In this case it's a closed set experiencing being covered by the set of points interior to your mom's mouth.

Did baby just get his first lesson in the different types of numbers from one of those grade school posters that shows 0 being the difference between "Whole Numbers" and "Natural Numbers"?

Aww! That is so cute!

2 weeks ago

Anonymous

Have you ever read a math paper? If an author wants to include 0, it's always specified. Default starts from 1.

2 weeks ago

Anonymous

They do that so brainlets like you don't get lost. Doesn't it feel good to have someone hold your hand?

2 weeks ago

Anonymous

Whether or not I'm a brainlet doesn't change the fact that N always starts from 1 unless otherwise indicated.

2 weeks ago

Anonymous

ISO standards used worldwide for both the natural sciences and technology would say you are wrong. Several mathematicians would say you are wrong too. It would seem you are in the minority here.

2 weeks ago

Anonymous

> ISO standards used worldwide for both the natural sciences and technology would say you are wrong.
How so? > Several mathematicians would say you are wrong too.
Who? > It would seem you are in the minority here.
Who's the majority?

an object that is defined by its elements which might also be objects, and in particular is consistent with the axioms of naive set theory.
ZFC can frick off back to no sex incel-ville

That's pretty ambiguous. Without imposing some sort of algebraic structure and stating what kind of things go in the sets I don't think that really means anything.

2 weeks ago

Anonymous

according to set theory schizos there isn't a set of all groups either

Yeah, but I don't think that's a real thing. That's like saying the "set of all concepts" without imposing any structure as to what a concept is. I think you're getting confused by how the definitions work. A set is just a conglomeration of objects that have some sort of relationship to each other. The notion of "all of them" has it do with what those objects are.

No it can't. If it's ordered then it's a vector. A vector is an ordered set and a set is a vector where order doesn't matter and repetition is allowed (precisely because order doesn't matter).

I not gona to be formal here, but at cosmological level i like to imagine the universe like a hypergraph of relations and objects (similar to wolfram view of universe).

So the set is the objects that have the same relation, like being on set X.

In ZFC, a set is a primitive notion. That means it is not defined in terms of anything else. Properties of sets, whatever they are, is inferred from the axioms of ZFC. Intuitively, a set is a collection of objects.

>ZFC

Put it in the trash

Mathematics isn't for everyone. Have you tried looking into gender studies?

What is an axiom?

It's a collection of objects. For example, my set of testicles had a non-empty intersection with your mom's mouth last night.

No sack?

moron.

No, the sack serves as the exterior boundary of the set. In this case it's a closed set experiencing being covered by the set of points interior to your mom's mouth.

bag of unordered poop

what is the set of N

1 and you can add 1 to anything you added 1 to.

(0 isn't in N)

>(0 isn't in N)

Brainlet detected

I accept your concession.

and concess your acception

Some people are really scared of monoids.

N are the positive integers, dumb ass

Did baby just get his first lesson in the different types of numbers from one of those grade school posters that shows 0 being the difference between "Whole Numbers" and "Natural Numbers"?

Aww! That is so cute!

Have you ever read a math paper? If an author wants to include 0, it's always specified. Default starts from 1.

They do that so brainlets like you don't get lost. Doesn't it feel good to have someone hold your hand?

Whether or not I'm a brainlet doesn't change the fact that N always starts from 1 unless otherwise indicated.

ISO standards used worldwide for both the natural sciences and technology would say you are wrong. Several mathematicians would say you are wrong too. It would seem you are in the minority here.

> ISO standards used worldwide for both the natural sciences and technology would say you are wrong.

How so?

> Several mathematicians would say you are wrong too.

Who?

> It would seem you are in the minority here.

Who's the majority?

A miserable collection of objects

A bunch of thingies

an object that is defined by its elements which might also be objects, and in particular is consistent with the axioms of naive set theory.

ZFC can frick off back to no sex incel-ville

>everything is made of sets

>there is no set of all sets

do set theorists have schizophrenia?

NOOOOO ZFC FIXES THAT CHUD!!!!

>NOOOOOO YOU CANNOT PROHIBIT INFINITELY RECURSIVE SETS

now that's schizophrenia

What would "all of the sets" mean?

Everything that is a set

That's pretty ambiguous. Without imposing some sort of algebraic structure and stating what kind of things go in the sets I don't think that really means anything.

according to set theory schizos there isn't a set of all groups either

The set of all sets, duh?

Yeah, but I don't think that's a real thing. That's like saying the "set of all concepts" without imposing any structure as to what a concept is. I think you're getting confused by how the definitions work. A set is just a conglomeration of objects that have some sort of relationship to each other. The notion of "all of them" has it do with what those objects are.

an array of numbers

A set is an abstract collection of possibly abstract objects.

It's an unordered list of objects that possess a common characteristic.

A set can be ordered.

No it can't. If it's ordered then it's a vector. A vector is an ordered set and a set is a vector where order doesn't matter and repetition is allowed (precisely because order doesn't matter).

Never seen a poset and totally ordered set, hum?

They have additional structure by defintion.

I not gona to be formal here, but at cosmological level i like to imagine the universe like a hypergraph of relations and objects (similar to wolfram view of universe).

So the set is the objects that have the same relation, like being on set X.