Advice from a math major a few years down the road: seriously consider graduate study in category theory. You strike me as the kind of person who has read around quite a lot but there are a number of topics I'd like to suggest reading about if you haven't yet: 1. New Math (and its failure) 2. information theory 3. neural networks 4. organ-on-chip technology 5. a paper i found on nature magazine website "A tape-reading molecular ratchet" The connection between math, linguistics and education (the science of teaching, say?) is something that's been on my mind for a while now too. I've had the privilege to take classes from some excellent math educators, and have taken to closely observing the structures and motivations behind their teaching methods. I'd challenge you to extend your ideas through to the other side (the dual, maybe?) -- learning. What are the applications of category theory to something like neural network structure? I'd love to talk about this more. Let me know what you think about the recommendations.
Loved this video and I'm in love with your Vim/Latex set up. Overall really inspiring and your thoughts are very interesting. Really looking forward to your next Life Talk and/or video overall. Great work!
Yeah, instant subscribe for me. I love talks like this and your other types of videos. Love to see the journey, I'm only a math minor but still love the content :)
Thanks for sharing your very interesting thoughts! There's definitely a lot to unpack here as you went over quite a few things, so I'll just comment on what caught my attention the most! Which was the connection between language and category theory you mentioned towards the end. I'd say I agree with you on this front, but my own personal struggle with making this connection is that I sometimes think mathematics is only ever useful when talking about language syntactically. And I feel that most of the time people's day-to-day use of language relies on semantics while syntax is kinda of internalized after a certain degree of comfort with the language and does not really play such an important role afterwards. So then for me it becomes really hard to make a clear connection between mathematics and language when you start to focus on the semantics of language. Say the code switching behavior in particular I would say this is a phenomenon very specific to semantics, because whenever I find myself switching from one language to another is often because the concept I wish to express is more exact (as in it feels like its fits the context much better) using a certain phrase or colloquialism from the other language. Which I think is closely tied to semantics, not so much with syntax. But maybe I shouldn't be assuming these things are so far apart there is no connection between them. I just don't know to be honest! I would, however, be really be interested to hear your thoughts on syntax and semantics! How would you define them, do you think they are isomorphic to each other in some sort of way? Or do you see them as completely separate elements that at best share some common threads but are not enough to say there's an established and meaningful relationship between them. I wish I knew more about biology as well, the analogy between DNA and macros sounds pretty rad ngl! Keep doing your stuff, hope to see you making more videos. Take care ✌
I loved compilers, as well! You should check out Genetic Algorithm, it's a model that solves optimization problems and is based on natural selection, using chromosomes. This is how I got into Artificial Intelligence. Graduated with B.S. in CS and minor is Math. I really loved math but I knew CS made more money. (Probably the only reason I chose to Major in CS and not Math)
![The moment we stopped understanding AI [AlexNet]](http://i.ytimg.com/vi/UZDiGooFs54/mqdefault.jpg)
Advice from a math major a few years down the road: seriously consider graduate study in category theory.
You strike me as the kind of person who has read around quite a lot but there are a number of topics I'd like to suggest reading about if you haven't yet:
1. New Math (and its failure)
2. information theory
3. neural networks
4. organ-on-chip technology
5. a paper i found on nature magazine website "A tape-reading molecular ratchet"
The connection between math, linguistics and education (the science of teaching, say?) is something that's been on my mind for a while now too. I've had the privilege to take classes from some excellent math educators, and have taken to closely observing the structures and motivations behind their teaching methods. I'd challenge you to extend your ideas through to the other side (the dual, maybe?) -- learning. What are the applications of category theory to something like neural network structure?
I'd love to talk about this more. Let me know what you think about the recommendations.
can i talk to you about this
Loved this video and I'm in love with your Vim/Latex set up. Overall really inspiring and your thoughts are very interesting. Really looking forward to your next Life Talk and/or video overall. Great work!
Yeah, instant subscribe for me. I love talks like this and your other types of videos. Love to see the journey, I'm only a math minor but still love the content :)
Amazing video!! Thank u for making us know you more deeply, very interesting indeed.
Thanks for sharing your very interesting thoughts! There's definitely a lot to unpack here as you went over quite a few things, so I'll just comment on what caught my attention the most! Which was the connection between language and category theory you mentioned towards the end.
I'd say I agree with you on this front, but my own personal struggle with making this connection is that I sometimes think mathematics is only ever useful when talking about language syntactically. And I feel that most of the time people's day-to-day use of language relies on semantics while syntax is kinda of internalized after a certain degree of comfort with the language and does not really play such an important role afterwards.
So then for me it becomes really hard to make a clear connection between mathematics and language when you start to focus on the semantics of language. Say the code switching behavior in particular I would say this is a phenomenon very specific to semantics, because whenever I find myself switching from one language to another is often because the concept I wish to express is more exact (as in it feels like its fits the context much better) using a certain phrase or colloquialism from the other language. Which I think is closely tied to semantics, not so much with syntax. But maybe I shouldn't be assuming these things are so far apart there is no connection between them. I just don't know to be honest!
I would, however, be really be interested to hear your thoughts on syntax and semantics! How would you define them, do you think they are isomorphic to each other in some sort of way? Or do you see them as completely separate elements that at best share some common threads but are not enough to say there's an established and meaningful relationship between them. I wish I knew more about biology as well, the analogy between DNA and macros sounds pretty rad ngl! Keep doing your stuff, hope to see you making more videos. Take care ✌
Very nice video man, good job.
This is insanely good stuff
Incredible! You're doing double major!
do more videos like this, what vim theme is that?
Hi man, can u make a video showing how to write in the sides of a matrix, like putting the variables up and in the left,
I loved compilers, as well! You should check out Genetic Algorithm, it's a model that solves optimization problems and is based on natural selection, using chromosomes. This is how I got into Artificial Intelligence.
Graduated with B.S. in CS and minor is Math. I really loved math but I knew CS made more money. (Probably the only reason I chose to Major in CS and not Math)
could you make a video on your study/productivity setup?
Have you figured out how to open multiple tabs in zathura?
what is this firefox theme that you are using ?
Could you tell us your spotify theme?
will you ever make any sort of tutorial for setting up vim?/ your setup especially
bro i want to be a math expert like you
how do you study?
Firefox theme?
comment for the algorithm. Liked and subscribed.
go Charly!
Amazing that you thought "someone would look at this", 3.6k people haha
dna cant be turing complete as its not a "programming language" as such, more as a way of encoding info.
ur cute loll
Do you have Twitter or Instagram?