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Q&A: How to Think Like a Mathematician – with Eugenia Cheng

Artis Modus



The Royal Institution

Is it possible to map consciousness using maths? Can category theory be applied in the search for artificial intellgence? Eugenia Cheng answers audience questions following her talk.
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Watch the talk: https://youtu.be/FIiMIw1lwaU

Eugenia Cheng is Scientist In Residence at the School of the Art Institute of Chicago. She won tenure in Pure Mathematics at the University of Sheffield, UK, where she is now Honorary Fellow. She has previously taught at the Universities of Cambridge, Chicago and Nice and holds a PhD in pure mathematics from the University of Cambridge. Alongside her research in Category Theory and undergraduate teaching, her aim is to rid the world of “math phobia”. Her first popular math book, How to Bake Pi, was published by Basic Books in 2015 to widespread acclaim including from the New York Times, National Geographic, Scientific American, and she was interviewed around the world including on the BBC, NPR and The Late Show with Stephen Colbert. Her second book, Beyond Infinity, was shortlisted for the Royal Society Science Book Prize.

This talk and Q&A was filmed in the Ri on 2 July 2018.

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33 thoughts on “Q&A: How to Think Like a Mathematician – with Eugenia Cheng”

  8. Category theory is awesome. I've been trying to study it and other parts of maths (at home, on my own) but it's been difficult with depression and chronic illness and whatnot. But my brain really loves connections and stuff. I always wanted to become a software engineer, game developer, or maybe a physicist, but idk. I'll probably never have a job or anything and am okay with that. Not a big fan of capitalism anyway. I just want to do something meaningful, something I love, and help people. Not really sure what that is or how I could possibly help people unless I get better. Meh. It is what it is. One day at a time.

  10. Actually the conditional probability of dying if your plane crashes is not high, it is actually quite low. I believe that somewhere around 95% of people involved in plane crashes survive. I think people have this misconception about airplanes just falling out of the sky if a problem occurs.

  11. I think that describing consciousness will be trivial once we get a definition that allows us to distinguish between conscious and not-conscious (and unconscious) entities.

    On a side note it would be very helpful in biology if we had clear definition of life or species… there are loads of grey areas when people argue whether thing is alive or not (and whether two organisms are one species or not), and all because of ambiguous definitions.

  16. But if you're treating people as human beings, and not killing, stealing, raping, etc. simply
    because God said so, you are a fucking horrible person.
    Because take away God, and bam, all hell breaks loose! Whereas the rest of us, logical people, will continue being good, whether or not God exists at all.
    Religion really seems to screw with people's minds, because there's something called "being human", and it does not require any belief in anything.
    Now sure, if you want to discuss where our humanity comes from, and why we're born innocent and good, that might be interesting to try figuring out. But that is an entirely separate discussion!
    I keep hearing this utter nonsense, even from people like my very own dad, saying that we'd all be killing each other and such, if not for God. And I'm sorry, but if you really think that, then perhaps you're the one with the problem, because all the rest of us are good people!

  19. Hi, Royal Institute, please change the thumbnail of this video to an image of Eugenia Cheng, so it’s easier to find the relating video to the speaker’s lecture. “Relating Graphic before Relating Text” would be a good principle to follow. You could also add “Q & A” next to the Ri logo in the top left corner in the future, as another means to identify the video. What do you think of these suggestions? Apart from that, I really enjoy your channel! 🙂 Thanks!

  21. This is such a pleasure to watch. Eugenia is an incredible thinker and a breath of fresh air when you come to this video from a general day to day world (provides your not working in sciences).

  22. Mothers are the primary educators.

    And the graphical (quantum) representation matrix of the Times Table eventually becomes the Periodic Table too.., based on number(ing), lines, and combined orthogonal graphics drawing out an active functional projection. Then it's all connected in an enlightening perspective that is easy for anyone to see.
    Eventually the matrix becomes a Hologram of functional Actuality.

  23. a disgrace to the royal institution .. this has the aroma of liberal propaganda .. she is just giving out her opinions on current events/talking points and liberal political rhetoric, with no mathematical/reasonable or logical explanations to how she reached her opinions ?

  27. 33:46 "All white guys look the same to me." I don't think she was trying to be racist when she said that, but I do expect that someone of her ilk (leftist) would accuse me of racism if I were to say "All Asians look the same to me."

  28. Amazing brains, love here explanation. Ps I also don't like flying only in my case because I can not take over in case this will be required and yes I fly weekly around the world……

  33. All Chinese women look the same to me.

    See how that sounded racist and you weren't inclined to applaud it? Why is it okay for anybody to say anything similar and get laughs from a full auditorium? Is casual racism funny, or is it only so when it's aimed at white males?

    And:
    1. No, I'm not white
    2. I've been on the receiving end of racism–casual, covert, and overt–and that's why I'm inclined to point this out.

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