What is a set?

What is a set?

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  1. 2 weeks ago
    Anonymous

    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.

    • 2 weeks ago
      Anonymous

      >ZFC
      Put it in the trash

      • 2 weeks ago
        Anonymous

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

  2. 2 weeks ago
    Anonymous

    What is an axiom?

  3. 2 weeks ago
    Anonymous

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

    • 2 weeks ago
      Anonymous

      No sack?

      moron.

      • 2 weeks ago
        Anonymous

        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.

  4. 2 weeks ago
    Anonymous

    bag of unordered poop

  5. 2 weeks ago
    Anonymous

    what is the set of N

    • 2 weeks ago
      Anonymous

      1 and you can add 1 to anything you added 1 to.
      (0 isn't in N)

      • 2 weeks ago
        Anonymous

        >(0 isn't in N)
        Brainlet detected

        • 2 weeks ago
          Anonymous

          I accept your concession.

          • 2 weeks ago
            Anonymous

            and concess your acception

        • 2 weeks ago
          Anonymous

          Some people are really scared of monoids.

        • 2 weeks ago
          Anonymous

          N are the positive integers, dumb ass

          • 2 weeks ago
            Anonymous

            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?

  6. 2 weeks ago
    Anonymous

    A miserable collection of objects

  7. 2 weeks ago
    Anonymous

    A bunch of thingies

  8. 2 weeks ago
    Anonymous

    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

  9. 2 weeks ago
    Anonymous

    >everything is made of sets
    >there is no set of all sets
    do set theorists have schizophrenia?

    • 2 weeks ago
      Anonymous

      NOOOOO ZFC FIXES THAT CHUD!!!!

    • 2 weeks ago
      Anonymous

      >NOOOOOO YOU CANNOT PROHIBIT INFINITELY RECURSIVE SETS
      now that's schizophrenia

    • 2 weeks ago
      Anonymous

      What would "all of the sets" mean?

      • 2 weeks ago
        Anonymous

        Everything that is a set

        • 2 weeks ago
          Anonymous

          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

      • 2 weeks ago
        Anonymous

        The set of all sets, duh?

        • 2 weeks ago
          Anonymous

          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.

  10. 2 weeks ago
    Anonymous

    an array of numbers

  11. 2 weeks ago
    El Arcón

    A set is an abstract collection of possibly abstract objects.

  12. 2 weeks ago
    Anonymous

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

    • 2 weeks ago
      El Arcón

      A set can be ordered.

      • 2 weeks ago
        Anonymous

        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).

        • 2 weeks ago
          Anonymous

          Never seen a poset and totally ordered set, hum?

          • 2 weeks ago
            Anonymous

            They have additional structure by defintion.

  13. 2 weeks ago
    Anonymous

    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.

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