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• 
  @biffinbome4 сағат бұрын

  Hell yeah schizo KZread

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  @basedtourist319823 сағат бұрын

  So 2Z is now not a ring

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  @Israel2.3.214 сағат бұрын

  No multiplicative identity.

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  @basedtourist319811 сағат бұрын

  @@Israel2.3.2 yeah. So?

• 
  @basedtourist3198Күн бұрын

  👍

• 
  @basedtourist3198Күн бұрын

  MI axiom is wrong. xTy is undefined

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  @Israel2.3.2Күн бұрын

  It's not undefined it's just ambiguous, similar to how '+' notation is used in two different senses here.

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  @Israel2.3.2Күн бұрын

  Good catch, thank you, I will make another video today.

• 
  @at56652 күн бұрын

  Yes

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  @elc2k3852 күн бұрын

  what

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  @user-yc2ti9ij5b4 күн бұрын

  I wish it were not converted into a dollar, I would really miss it 😂😢

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  @basedtourist319810 күн бұрын

  Man, you should get some help

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  @Israel2.3.210 күн бұрын

  Consider a non-empty family (Ti), i ∈ I, of topologies on a set E. We know that a least upper bound topology of the topologies Ti exists, i.e. the coarsest topology on E, finer than each Ti. If Vi is the set of open sets for the topology Ti (i ∈ I), the least upper bound topology is generated by the union of the Vi. Let E be any set and (Ei), i ∈ I, a non-empty family of topological spaces and, for each i ∈ I, fi a mapping of E into Ei (i ∈ I). There is a topology called the initial topology of the Ei by the mappings fi, which is the coarsest topology for which all the mappings fi are continuous: it is the least upper bound of those topologies which are inverse images of the topologies of the space Ei, by the mappings fi.

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  @veedrac10 күн бұрын

  If you search "STEM diagrams be like" you'll find another internet meme this reminded me of.

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  @fleurafricaine574012 күн бұрын

  Additional question: How much does the Companion insulate itself from obsolescence as the yields of current areas of mathematical research become exhausted?

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  @baronvonbeandip14 күн бұрын

  This is exactly what I thought when going into group theory. I wish they had attempted to convey this idea in high school as to not make math so boring.

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  @zafmafattack15 күн бұрын

  I'm afraid you may have schizophrenia sir.

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  @user-lt9vw3ry4x15 күн бұрын

  X = X^3 Mathematics is last for all this formula.

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  @user-sr1he9fp1s16 күн бұрын

  looked like robert downey junior

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  @user-kt8uq6jl8u18 күн бұрын

  Mine three.

• 
  @feraudyh18 күн бұрын

  There's no book like this one. The Kindle version is very good, but I wish there were more hyperlinks.

• 
  @michaelmcgee33518 күн бұрын

  Could of at least given a few pages of what it looked like inside

• 
  @Sam-ri3hr19 күн бұрын

  I want to apply higher categories to AI, to model complex systems (like biological ecosystems or financial markets) in a process-like ontology/topology. Came here from your video on Sir Atiyah. Would you like to talk, please?

• 
  @basedtourist319819 күн бұрын

  Well that's what I call a fine schizo-posting

• 
  @Israel2.3.219 күн бұрын

  Could You Do Me A Favor Friend? Tell Me If You Are Able To Scroll To @Israel2.3.2 's First Community Post.

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  @basedtourist319819 күн бұрын

  @@Israel2.3.2 left a comment there

• 
  @scottychen239720 күн бұрын

  This is only just begining: I can’t immediately tell if this is C*C = (C) * (C) or R^4 = (R^3) * (R) Neither of which has to do with what this is probably talking about, which is the technically 4 dimensional TM = 2 + 2 in a way that’s over the real as it were but is sincerely different than what can be topologically deduced is the natural implication of the previous demonstrations of explicit geometry. An exact comparison must be given to this kind of thing

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  @bigfrankalbigguy78913 күн бұрын

  He's talking about the fact that the alternating group of degree n >= 3 is non-simple if and only if n = 4. en.wikipedia.org/wiki/Alternating_group

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  @no-one-in-particular20 күн бұрын

  Gowers is not a "former" Fields medal recipient

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  @tsenotanev18 күн бұрын

  clearly "former" means not this year's recipient but a recipient of some previous year .. in his case 1998..

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  @no-one-in-particular17 күн бұрын

  @@tsenotanev Clearly he is a recipient, not a former recipient

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  @fleurafricaine574012 күн бұрын

  I’d go along with that. As there is no office, term or incumbency of the Fields Medal award there can be nothing that distinguishes a present from a previous recipient. This is also true of Purple Hearts, Congressional Medals of Freedom, Orders of the British Empire, la Légion d’honneur, and the former Eisernes Kreuz (‘former’ because it was discontinued in 1945).

• 
  @TotoGeass20 күн бұрын

  have you considered putting up more PU Press podcasts up here? you have a very interesting channel. Should probably put that simon video about fungud in a playlist somewhere, along with the pbs eons vid on mushrooms as the very first deep colonizers of the surface of earth.

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  @uubuuh20 күн бұрын

  the student’s arrow is also a sign

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  @vincentzevecke457821 күн бұрын

  I read it. It is very excellent book.

• 
  @EqSlay16 күн бұрын

  😂

• 
  @user-nb3mq3cg8k24 күн бұрын

  Is that Robert Greene?

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  @bigfrankalbigguy78923 күн бұрын

  Brian Greene

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  @pooritech23 күн бұрын

  So no, it's not Robert Greene. 😂

• 
  @TianliQu24 күн бұрын

  so true

• 
  @kingoreo705024 күн бұрын

  Complex numbers spring to mind for me as something we know so much about even though the main thing introduced, i, is a number know nothing of other than it squares to -1. You can really dig so much deeper into a topic when you remove the need for computation and just think about the implications of what ever new idea you’re introducing.

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  @Jack-hd3ov23 күн бұрын

  This is true for all numbers though, the natural numbers are just most intuitive. Negative numbers are the result of asking for the solution to x + 1 = 0, i of course comes from x^2 + 1 = 0, even natural numbers are just the implications of a set of rules; 1 is S(0). The way mathematics is taught really ruins people's perception of it by making them see numbers as the result of calculations, calculations are just useful algorithms for computing values, not the values themselves. "What is i?" or "what is -1?" is not a question that makes sense. Mathematics is the study of rules and their consequences and doesn't really have anything to do with "things", contrary to everyone calling everything a "mathematical object".

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  @diff258726 күн бұрын

  This was nice. I was expecting him to discredit “algebraization” in favor of intuition, like Feynman did in that one interview

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  @h4rkus13327 күн бұрын

  What a bunch of nerds

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  @Israel2.3.227 күн бұрын

  Barry Mazur Is Greater Than You Are Friend.

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  @h4rkus13327 күн бұрын

  @@Israel2.3.2 Free Palestine ✊

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  @ozymandias448826 күн бұрын

  My man you're in the wrong comment section

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  @h4rkus13326 күн бұрын

  Tell me about it...

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  @mikoposter24 күн бұрын

  jesus is lord

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  @grivzaАй бұрын

  That's an intriguing formalization , I hope you do some more videos on it

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  @cogiturАй бұрын

  굿!