Skip to content
By using Twitter’s services you agree to our Cookies Use. We and our partners operate globally and use cookies, including for analytics, personalisation, and ads.
  • Home Home Home, current page.
  • About

Saved searches

  • Remove
  • In this conversation
    Verified accountProtected Tweets @
Suggested users
  • Verified accountProtected Tweets @
  • Verified accountProtected Tweets @
  • Language: English
    • Bahasa Indonesia
    • Bahasa Melayu
    • Català
    • Čeština
    • Dansk
    • Deutsch
    • English UK
    • Español
    • Filipino
    • Français
    • Hrvatski
    • Italiano
    • Magyar
    • Nederlands
    • Norsk
    • Polski
    • Português
    • Română
    • Slovenčina
    • Suomi
    • Svenska
    • Tiếng Việt
    • Türkçe
    • Ελληνικά
    • Български език
    • Русский
    • Српски
    • Українська мова
    • עִבְרִית
    • العربية
    • فارسی
    • मराठी
    • हिन्दी
    • বাংলা
    • ગુજરાતી
    • தமிழ்
    • ಕನ್ನಡ
    • ภาษาไทย
    • 한국어
    • 日本語
    • 简体中文
    • 繁體中文
  • Have an account? Log in
    Have an account?
    · Forgot password?

    New to Twitter?
    Sign up
ModelOfTheory's profile
Model Of Theory
Model Of Theory
Model Of Theory
@ModelOfTheory

Tweets

Model Of Theory

@ModelOfTheory

ZFC, THIS.

Joined July 2016

Tweets

  • © 2018 Twitter
  • About
  • Help Center
  • Terms
  • Privacy policy
  • Cookies
  • Ads info
Dismiss
Previous
Next

Go to a person's profile

Saved searches

  • Remove
  • In this conversation
    Verified accountProtected Tweets @
Suggested users
  • Verified accountProtected Tweets @
  • Verified accountProtected Tweets @

Promote this Tweet

Block

  • Tweet with a location

    You can add location information to your Tweets, such as your city or precise location, from the web and via third-party applications. You always have the option to delete your Tweet location history. Learn more

    Your lists

    Create a new list


    Under 100 characters, optional

    Privacy

    Copy link to Tweet

    Embed this Tweet

    Embed this Video

    Add this Tweet to your website by copying the code below. Learn more

    Add this video to your website by copying the code below. Learn more

    Hmm, there was a problem reaching the server.

    By embedding Twitter content in your website or app, you are agreeing to the Twitter Developer Agreement and Developer Policy.

    Preview

    Why you're seeing this ad

    Log in to Twitter

    · Forgot password?
    Don't have an account? Sign up »

    Sign up for Twitter

    Not on Twitter? Sign up, tune into the things you care about, and get updates as they happen.

    Sign up
    Have an account? Log in »

    Two-way (sending and receiving) short codes:

    Country Code For customers of
    United States 40404 (any)
    Canada 21212 (any)
    United Kingdom 86444 Vodafone, Orange, 3, O2
    Brazil 40404 Nextel, TIM
    Haiti 40404 Digicel, Voila
    Ireland 51210 Vodafone, O2
    India 53000 Bharti Airtel, Videocon, Reliance
    Indonesia 89887 AXIS, 3, Telkomsel, Indosat, XL Axiata
    Italy 4880804 Wind
    3424486444 Vodafone
    » See SMS short codes for other countries

    Confirmation

     

    Welcome home!

    This timeline is where you’ll spend most of your time, getting instant updates about what matters to you.

    Tweets not working for you?

    Hover over the profile pic and click the Following button to unfollow any account.

    Say a lot with a little

    When you see a Tweet you love, tap the heart — it lets the person who wrote it know you shared the love.

    Spread the word

    The fastest way to share someone else’s Tweet with your followers is with a Retweet. Tap the icon to send it instantly.

    Join the conversation

    Add your thoughts about any Tweet with a Reply. Find a topic you’re passionate about, and jump right in.

    Learn the latest

    Get instant insight into what people are talking about now.

    Get more of what you love

    Follow more accounts to get instant updates about topics you care about.

    Find what's happening

    See the latest conversations about any topic instantly.

    Never miss a Moment

    Catch up instantly on the best stories happening as they unfold.

    1. Shredder Rawflesh‏ @RadishHarmers Feb 2
      Replying to @ModelOfTheory

      Inversion in the sense of negation? But why focus on 2-ary inversion, and not 3-ary inversion (where a, wa, and w^2a are considered a triple of 3-ary inverses, for w a primitive 3rd root of unity), or whatever n-ary thing. Perhaps this is circular too…

      1 reply 0 retweets 0 likes
    2. Model Of Theory‏ @ModelOfTheory Feb 3
      Replying to @RadishHarmers

      Inversion of elements in a group.

      1 reply 0 retweets 0 likes
    3. Shredder Rawflesh‏ @RadishHarmers Feb 3
      Replying to @ModelOfTheory

      A group being a monoid with a function f such that f^2(x) = x and x * f(x) = 1. But similarly, we may consider "troupes", a troupe being a monoid with an f such that f^3(x) = x and x * f(x) * f^2(x) = 1. (And so on for any n, naturally).

      1 reply 0 retweets 1 like
    4. Shredder Rawflesh‏ @RadishHarmers Feb 3
      Replying to @RadishHarmers @ModelOfTheory

      So might we (I am genuinely pondering this) consider focus on groups instead of n-troupes similarly a circular sneaking in of fake specialness of 2?

      1 reply 0 retweets 0 likes
    5. Model Of Theory‏ @ModelOfTheory Feb 3
      Replying to @RadishHarmers

      Groups arise naturally as automorphism groups. I tend to think of "group" as meaning "thing that is isomorphic to an automorphism group", and take the group axioms as a convenient way to characterize which things are groups.

      1 reply 0 retweets 0 likes
    6. Shredder Rawflesh‏ @RadishHarmers Feb 3
      Replying to @ModelOfTheory

      Yes, but what is an automorphism group? A collection of endomorphism tuples (m_1, m_2) such that m_1 * m_2 = m_2 * m_1 = 1, composing under the rule (m_1, m_2) * (n_1, n_2) = (m_1 * n_1, n_2 * m_2). But perhaps a 2 has been snuck in here implicitly…

      2 replies 0 retweets 0 likes
    7. Model Of Theory‏ @ModelOfTheory Feb 3
      Replying to @RadishHarmers

      Given a set with some sort of structure on it (which necessarily includes =), its automorphism group is the set of all functions from the set to itself preserving that structure, endowed with every operation that can be naturally assigned to such sets in a constructive manner.

      1 reply 0 retweets 0 likes
    8. Model Of Theory‏ @ModelOfTheory Feb 3
      Replying to @ModelOfTheory @RadishHarmers

      By preserving that structure, I mean in the iff sense, not just that structure must be carried over in one direction.

      1 reply 0 retweets 0 likes
    9. Model Of Theory‏ @ModelOfTheory Feb 3
      Replying to @ModelOfTheory @RadishHarmers

      Admittedly what I said doesn't apply to automorphism groups of objects in non-concrete categories. I think of these as "things that work in much the same way that sets with structure do".

      1 reply 0 retweets 0 likes
    10. Shredder Rawflesh‏ @RadishHarmers Feb 3
      Replying to @ModelOfTheory

      Alright, now the 2 comes from your focus on "functions"; that is, on particular 2-ary relations. But we might also look at 3-ary correspondence relations. E.g., R(x, y, z), such that for any choice of x, y, or z, there are designated corresponding values for the other arguments.

      2 replies 0 retweets 0 likes
      Model Of Theory‏ @ModelOfTheory Feb 3
      Replying to @RadishHarmers

      Once you focus on the relations that are like functions in that they satisfy conditions like "for any value of _ there is unqiue _", there is something 2-ish going on, because the places in the relation are being partitioned into 2 pieces, the domain piece and the codomain piece.

      12:46 PM - 3 Feb 2018
      1 reply 0 retweets 0 likes
        1. New conversation
        2. Model Of Theory‏ @ModelOfTheory Feb 3
          Replying to @ModelOfTheory @RadishHarmers

          Even if you try to generalize bijections by using a condition that the relation must be function-like for multiple domain/codomain partitions (e.g. for any values of any k places, there are designated values for other n-k), each partition is into 2 parts.

          1 reply 0 retweets 0 likes
        3. Shredder Rawflesh‏ @RadishHarmers Feb 3
          Replying to @ModelOfTheory

          A ternary correspondence is a subset of X x Y x Z such that each element of X, Y, or Z appears in precisely one element of the subset.

          1 reply 0 retweets 1 like
        4. Shredder Rawflesh‏ @RadishHarmers Feb 3
          Replying to @RadishHarmers @ModelOfTheory

          You can alternatively phrase this in 2-ish ways if you like, but you can phrase anything in lots of ways. It's not fundamentally a 2-ish notion, except in that each 3-point simplex contains within it 2-simplices for its sides, and so on.

          1 reply 0 retweets 0 likes
        5. Shredder Rawflesh‏ @RadishHarmers Feb 3
          Replying to @RadishHarmers @ModelOfTheory

          As I said, you can express all the higher n-ary structure from 2-ary structure, yes, but this needn't be considered the primary presentation.

          0 replies 0 retweets 0 likes
        6. End of conversation

      Loading seems to be taking a while.

      Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.

        Promoted Tweet

        false

        • © 2018 Twitter
        • About
        • Help Center
        • Terms
        • Privacy policy
        • Cookies
        • Ads info