Po-Shen Loh: Mathematics, Math Olympiad, Combinatorics & Contact Tracing | Lex Fridman Podcast

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Lex Fridman

Lex Fridman

Күн бұрын

Пікірлер: 416
@lexfridman
@lexfridman 3 жыл бұрын
Here are the timestamps. Please check out our sponsors to support this podcast. 0:00 - Introduction & sponsor mentions: - The Jordan Harbinger Show: jordanharbinger.com/lex/ - Onnit: lexfridman.com/onnit - BetterHelp: betterhelp.com/lex to get 10% off - Eight Sleep: www.eightsleep.com/lex and use code LEX to get special savings - LMNT: drinkLMNT.com/lex to get free sample pack 1:43 - Planes and bridges 5:21 - Writing a computer game from scratch 7:46 - Programming competitions 11:21 - Math is hard 16:52 - Contact tracing that preserves privacy 54:09 - Math Olympiad 1:09:49 - Hard math problem 1:17:06 - Is math discovered or invented? 1:22:02 - Intelligence 1:28:52 - Math education 1:33:03 - How to learn math 1:41:58 - Combinatorics 1:45:05 - Voting trees 1:55:29 - Stochastic coalescence 2:05:15 - P=NP 2:09:32 - Tolkien and WWII 2:11:52 - Advice for young people 2:13:57 - Meaning of life
@alexandrenr
@alexandrenr 3 жыл бұрын
Thanks Lex
@jianfalco2133
@jianfalco2133 3 жыл бұрын
Thank you, Lex. 😌👍❤️
@dudeshiya
@dudeshiya 3 жыл бұрын
It sounds like some bottleneck argument used by Pitassi and Haken to prove lower bounds for the pigeonhole principle. Lex, you could maybe interview Tim Berners-Lee and talk about his work on decentralised internet. That would be interesting too!
@shelly_cali_girl3594
@shelly_cali_girl3594 3 жыл бұрын
I would absolutely love the short videos of tidbits into your life. ❤️ Your podcast. This was a fantastic one.
@shelly_cali_girl3594
@shelly_cali_girl3594 3 жыл бұрын
This is how I use to think 🤔 when smoking weed in my twenties.... 😂😂😂 Man.... If you got high... I wld get super deep. Great convo
@relax-n-reads1514
@relax-n-reads1514 3 жыл бұрын
If Po-Shen Loh was my math professor back in school, I'd truly have a different perspective on mathematics. His passion is everything.
@nelsoncastro7281
@nelsoncastro7281 2 жыл бұрын
🙄 yea it was the profs fault
@nomathic7672
@nomathic7672 2 жыл бұрын
Take responsibility for your own inadequacy.
@BACKUP-nj7wg
@BACKUP-nj7wg 2 жыл бұрын
Straight get out of here with that nonsense 😂
@dustin3213
@dustin3213 2 жыл бұрын
A child's mind can be guided and this is 100% true in many peoples lives
@user-in1yw9ty5t
@user-in1yw9ty5t Жыл бұрын
I understand what you are saying. Now you know what it takes to have one. We all need to be one. Teach our inner child and improve on ourselves. If you never had a teacher like him be one and teach yourself.
@ericlu8089
@ericlu8089 3 жыл бұрын
"Teach not for memorization, teach to invent." In our day and age, you have all the knowledge already well known on the internet. What is valuable now is to how to use it to solve unknown problems for here on out. This quote has so much volume.
@aeromtb2468
@aeromtb2468 3 жыл бұрын
The best thing my engr prof told the class is not to memorize the formula, figure out how to revive it , think and show it work. Helped me out during a license test, then I found the formulas at end of test but didn't need them.
@infiniteinfiniteinfi
@infiniteinfiniteinfi 3 жыл бұрын
@@aeromtb2468 Yeah, lets remember that quote ;)
@grimendancehall
@grimendancehall 3 жыл бұрын
You don't have all the knowledge. You can't just start reading complex technical material
@elthgar
@elthgar 3 жыл бұрын
Po-Shen Loh is just overflowing with joy. Very fun to listen to.
@MrAntonioCapone
@MrAntonioCapone 3 жыл бұрын
Maybe that is the secret for eternal youth ? He is 39 according to Wikipedia.
@gror7849
@gror7849 3 жыл бұрын
"You have the power to invent also" - this is what a teacher should do. Unleash the students potential...not set them on a predetermined path and create just a "human copy" of the manual the teacher is using. I enjoyed this soooo much!!!
@Av-fn5wx
@Av-fn5wx 10 ай бұрын
18:30 such a sweet moment. Professor being his humble self & Lex not failing to appreciate his efforts in a witty manner. Thats how 2 intelligent people communicate
@alexjbriiones
@alexjbriiones Жыл бұрын
I wish we could have more people like Po-Shen Loh. He is simply a great teacher.
@Backflipmarine
@Backflipmarine 3 жыл бұрын
The thirst for smart conversation is quite real, I can never stand going to a lecture, but these podcasts I check daily for. Presentation and show of heart is everything.
@jamesr2936
@jamesr2936 3 жыл бұрын
This podcast always brings it, Lex - A wealth of interesting guests and the scope of subjects covered is eye-opening.
@asadalbra
@asadalbra 3 жыл бұрын
Very, very, very happy knowing people like Po-Shen Loh exist
@elidwor1856
@elidwor1856 3 жыл бұрын
It's so difficult to find high quality podcasts on technical topics. Thanks again Lex, these talks are amazing!
@samienaamien7038
@samienaamien7038 Жыл бұрын
I'm 60, and I want Po-Shen Lo to teach me!!! he's making me fall in love with Math! And you know what, as I was typing this, Lex asked about learning Math as an adult! Serendipity!
@gena8414
@gena8414 6 ай бұрын
change your diaper grandpa
@samienaamien7038
@samienaamien7038 6 ай бұрын
@@gena8414 What a pathetic attempt at humour. Shame...
@arcofficial516
@arcofficial516 5 ай бұрын
​@@gena8414that's rude 😑
@bingbong2179
@bingbong2179 3 жыл бұрын
I just finished reading Neal Stephenson's book Anathem, and at the 1:20:00 mark where Lex starts talking about communicating with other races through math's theorems, it's crazy cause that's kind of a key feature within the novel and both ideas I've encountered for the first time in the last two weeks. It's crazy. The more that you do productively in terms of exploring ideas and fun conversations, the more coincidences you notice. And the rush of joy at noticing analogies to some past experience in a different field is one of the best and simplest pleasures around
@skadoosh5045
@skadoosh5045 Жыл бұрын
Beautifully said :)
@MrSmurfhawk
@MrSmurfhawk 3 жыл бұрын
Outline as percentages: 1 % - Introduction 3 % - Planes and bridges 2 % - Writing a computer game from scratch 3 % - Programming competitions 4 % - Math is hard 27 % - Contact tracing that preserves privacy 11 % - Math Olympiad 5 % - Hard math problem 4 % - Is math discovered or invented? 5 % - Intelligence 3 % - Math education 6 % - How to learn math 2 % - Combinatorics 7 % - Voting trees 7 % - Stochastic coalescence 3 % - P=NP 2 % - Tolkien and WWII 1 % - Advice for young people 4 % - Meaning of life (Rounding may create totals greater than 100%)
@koroshiya_1
@koroshiya_1 2 жыл бұрын
This is lovely!
@kristofferh2312
@kristofferh2312 3 жыл бұрын
Holy hell Lex, your episodes have been top notch lately !
@cyclotrojan
@cyclotrojan 3 жыл бұрын
lately ?? more like since forever
@krezkort
@krezkort 3 жыл бұрын
Wow, I had to pause at times to let my brain calm down from all the ideas. Really like the description of learning as collecting insights; creativity being ability to stack them.
@ikarusxv
@ikarusxv 3 жыл бұрын
I like how Lex always see the philosophical part of everything
@Stanleyt1107
@Stanleyt1107 10 ай бұрын
I admire the way he trains his six math Olympiads with the goal of making significant contributions in the future, rather than just winning in _this_ game. This is truly golden!
@Stanleyt1107
@Stanleyt1107 10 ай бұрын
Just finished watching this video and I loved the talk. The energy that Professor Loh exuded was enormous and contagious!
@АмиЛаза-г1ю
@АмиЛаза-г1ю 3 жыл бұрын
Lex, you should interview MIT people that made Julia language, looking deeper it's truly magnificent piece of modern engineering
@Sliznark
@Sliznark 3 жыл бұрын
@@davidmack644 I won't claim to know all the differences but one I do know is how the sub root program reads commands from the host.
@dominic8147
@dominic8147 3 жыл бұрын
@@davidmack644 computationalthinking.mit.edu/Spring21/ The guy who invented Julia teaches it at MIT and made the class discord open to the public. Obviously there's no grade if you aren't an MIT student, but you can ask questions during class and do the homework. The class is almost over. Maybe a week or two left, but you can still attend the last lecture or two :)
@HeyRutvik
@HeyRutvik 3 жыл бұрын
Thanks for sharing the link,@@dominic8147.
@kukuster
@kukuster 3 жыл бұрын
@@kevyt3095 Don't mind *Panda Tobi*
@guillem.590
@guillem.590 3 жыл бұрын
@@orangestapler8729 from what i've gathered, Julia is a high level high performance language. So you get syntax thats very readable (like python), but you don't have to compromise the performance (unlike python, which is rather slow). That being said, its more focused on scientific computing rather than, say, software engineering. The reason its a big deal is that most scientific computing applications (like optimization or numerical PDE) really benefit from being implemented with high level syntax, so the fact that now you can get that without having to put up with worst performance its great. If you want to know more i would recommend the article "Julia: a fresh approach to numerical computing" by Bezanson et al (2017)
@aeromtb2468
@aeromtb2468 3 жыл бұрын
These two guys talking about an application as a real tool to prevent future cases, not just for 2020 virus, is hopefully. The two smartest people in the room and maybe the city!!!
@marufmamun6592
@marufmamun6592 3 жыл бұрын
I think that daily mental exercise you mention is a great practice. If I take at least 30-60 minutes to think clearly about some questions daily, I find myself being more deliberate throughout the day, and being more myself. Otherwise I go through my day almost like a robot, not really thinking about why I'm doing what I'm doing.
@NomadicBrian
@NomadicBrian 3 жыл бұрын
Is this clarity? Where has it gone? In a box replaced by ambiguity.
@mistorya600
@mistorya600 3 жыл бұрын
I love that these type of people exist! Such a fascinating discussion to listen to.
@ACactusHealingRhino
@ACactusHealingRhino 3 жыл бұрын
dude this podcast keeps getting better and better i cant believe it
@YouKnow_009
@YouKnow_009 Жыл бұрын
Prof. Loh, Thank you for your visit to NC in 2023, your respect for PEOPLE spoke so loud I don’t remember what you said😮. The process to show then ask participants to repeat 20 times. Reminds me of how I learned Pivot Tables over 20 years ago. Still working to solve the INCENTIVE challenges.
@joshuastudebaker678
@joshuastudebaker678 3 жыл бұрын
Love Po-Shen's vibe. So chill :) Very enjoyable Podcast!
@erictko85
@erictko85 3 жыл бұрын
This man is extremely refreshing and an inspiring person to listen to. Thanks for another great conversation Lex
@erictko85
@erictko85 3 жыл бұрын
@Lex. Frìdman What have you done with Lex?
@montanawildhack2760
@montanawildhack2760 3 жыл бұрын
That was such a great convo, thank you so much for the access Lex & Po!!
@genericname2284
@genericname2284 Жыл бұрын
This dude has got to be top 10 most likable dudes on the planet. Incredible energy
@randomperson3457223
@randomperson3457223 Жыл бұрын
I worked on NOVID with Po. He's AMAZING!!
@huwphillips2696
@huwphillips2696 3 жыл бұрын
Very glad you've interviewed Po, mega interesting guy, well done Lex.
@craigbeare9770
@craigbeare9770 3 жыл бұрын
Here is a positive comment lex ! Read them you deserve it thanks for bringing intellectual disccusions to the masses
@advaithbala
@advaithbala 3 жыл бұрын
“The most beautiful episode on math”
@TheRodster21
@TheRodster21 3 жыл бұрын
I honestly don't like math but this guy makes me want to love it the way he does
@SK-kj1ge
@SK-kj1ge 2 жыл бұрын
Can you imagine if your math prof was this super cool, friendly, passionate, hilarious?
@blindlfaithful
@blindlfaithful 3 жыл бұрын
Thank you once again Mr. Fridman.
@Tubingonline1
@Tubingonline1 6 ай бұрын
Phenomenal interview, cannot imagine life without lex's podcast. Lex's score might already be higher than most human beings: 2:14:53 You do not need to invent a better coffee machine, i guess, you already have invented something amazing - Lex Fridman podcast.😊
@tgwashdc
@tgwashdc 3 жыл бұрын
Fantastic conversation. Packed with so many ideas, I have to pause, relish and then move on. Keep up the good work Lex and Po-Shen!
@Manicscitzo
@Manicscitzo 3 жыл бұрын
No doubt, Po-Shen is a great math teacher, more than other subjects I think you have to really understand it deeply to make it beautiful, fun and intuitive. Unfortunately there's nowhere near enough people like that to staff universities let alone high schools so people often have a negative view of learning math.
@mikely7354
@mikely7354 3 жыл бұрын
Dang it. Conversations on this channel is always intelligent and interesting. Why can't all podcasts be like this?
@charliekirkham4336
@charliekirkham4336 3 жыл бұрын
Lex, can you get more people from biotech? I know it's not your area, but no one is covering it like this. It's blowing up and we need people to explain the cutting-edge stuff that is happening.
@anavilhelminaverdnik685
@anavilhelminaverdnik685 3 жыл бұрын
Amazing episode! Engaging the scientific community is what makes this podcast stand out. Looking forward to more interviews like this!
@AgentAaron
@AgentAaron 3 жыл бұрын
So happy to nerd out on this podcast! Thanks Lex, thanks Po! And away we go...... :)
@cyclotrojan
@cyclotrojan 3 жыл бұрын
thanks for the timestamps, proud to support this man on patreon
@jdragon8184
@jdragon8184 3 жыл бұрын
mathmeticians and competitive coders are purest creatures on earth
@rr2961
@rr2961 3 жыл бұрын
Nice to see you interviewing worthwile guests again :)
@jackdouglas7057
@jackdouglas7057 3 жыл бұрын
Fantastic episode! Very insightful conversation around math competitions
@shaneckel
@shaneckel 3 жыл бұрын
Yooo! Po-Shen is the shit. I had the opportunity to run into him several times at CMU and it was always a pleasure. It still bums me out I couldn't help him in some way with his company. It was a blast talking to him. Great podcast Lex.
@drover7476
@drover7476 3 жыл бұрын
Loved this episode, absolutely love the way Po communicates maths and computing.
@ronaldrodrigo6485
@ronaldrodrigo6485 3 жыл бұрын
love this conversation covering the spectrum of academic to practical impact to daily life
@ShivaRainchild
@ShivaRainchild 3 жыл бұрын
His meaning of life is so fucked up & weird, I really like this dude. He seems to have found a way to conserve all the curiosity and energy most of us tend to lose once we reach adulthood. This was one of my favorite conversations this year. Thank you both very much! :)
@daepak9099
@daepak9099 3 жыл бұрын
It's not fucked up or weird at all. He just sort of quantified a typical response of wanting to have an impactful contribution to future generations. It's actually quite clear, pragmatic, and sensible. What about his response do you find fucked up?
@michailvolski5035
@michailvolski5035 3 жыл бұрын
not a good choice of words there
@canopusinthenorth
@canopusinthenorth 3 жыл бұрын
Lex, this is a fantastic interview. Curious on how you will come up with your daily math habit. I have been doing it for a while now and doing Math first thing in the morning works for me. Wake up, Make Coffee, Do math.
@superheaton
@superheaton 2 жыл бұрын
1:05:16 NO OVERLAP :D What a nice professor that cares about the future
@rishabkumar9578
@rishabkumar9578 3 жыл бұрын
He is a very good man. Should learn lot of things from him.
@defface777
@defface777 3 жыл бұрын
Po-Shen Loh is a very likable person
@woudschoutteten1397
@woudschoutteten1397 3 жыл бұрын
I love the way he goes “ahh”
@mockingbird3809
@mockingbird3809 3 жыл бұрын
Oh, I remember this guy from the video "The most beautiful equation in Math".
@GffHll
@GffHll 3 жыл бұрын
I will watch this, thanks !
@S1LLY_C0ST4_L0V3R
@S1LLY_C0ST4_L0V3R 3 жыл бұрын
Ohhh, thought he looked familiar
@psi4j
@psi4j 10 ай бұрын
I love this guy. This is brilliant. Thank you both.
@konroh2
@konroh2 2 жыл бұрын
Meaning of life: there is beauty in math that points to God, the infinite creator.
@anoopramakrishna
@anoopramakrishna 3 жыл бұрын
Really looking forward to the tutorial videos you alluded to
@MiroslavaSotakova
@MiroslavaSotakova 3 жыл бұрын
Lex - on daily math rituals: Solving IMO problems is my occasional meditation. Also, if you can't fall asleep in the evening, I recommend thinking about a tough problem (generally the 3rd and the 6th).
@nhatminh4529
@nhatminh4529 2 жыл бұрын
What? You can solve IMO frequently? Are u a genius or sth?
@MiroslavaSotakova
@MiroslavaSotakova 2 жыл бұрын
@@nhatminh4529 There are 6 problems a year, so I usually check them out after the contest in summer (there is a ton of problems for training but I don't have time for that). The techniques needed to solve them are elementary, solutions usually take one creative idea. The geniuses are those who not only can solve them (most math majors should be able to do maybe a half at least) but can do so in 1.5h per problem for both finding a solution and writing it up. I usually can't :).
@nhatminh4529
@nhatminh4529 2 жыл бұрын
@@MiroslavaSotakova Are you serious? It’s IMO, one of the hardest math competitions in the world. It takes years and years of hard work and intense math training for a person to be able to solve a single problem, or maybe still can’t solve anything at all. And I doubt that every math major can solve half of them, even PhDs. But since you can solve a lot of them, can u maybe give me some advice on how to tackle those problems? How long should I try to solve before looking at solutions? You are definitely way smarter than normal to be able to solve those incredibly hard problems.
@a3axon
@a3axon 3 жыл бұрын
dude this guy showed me the best way to solve quadratics- no cap
@smartwolf9045
@smartwolf9045 3 жыл бұрын
As a computer scientist, this Channel is a mine of gold
@lucasa8710
@lucasa8710 10 ай бұрын
the initiation of this episode had me smiling the hole time
@nDreaw12
@nDreaw12 3 жыл бұрын
Terence Tao would be amazing!! Great Video :)
@fingerscrossed1307
@fingerscrossed1307 3 жыл бұрын
Every time there's a guest I'm not familiar with, I somehow watch it to the end.
@DNJ9o9o
@DNJ9o9o 3 жыл бұрын
I remember him from the Pi day video! Love his passion
@armhugminutes8501
@armhugminutes8501 3 жыл бұрын
This is an amazing podcast Lex, it just gets better and better. Can't wait to see more women being interviewed in a podcast like this..
@Bultish
@Bultish 3 жыл бұрын
why is gender important? honest question...
@forgoodnessache5399
@forgoodnessache5399 3 жыл бұрын
I've got a question for you, Mr. Fridman. You know a lot, I know a lot, and we all know a lot. We like to learn new things and know (roughly) *when we do* . But a far more interesting and possibly more important question (for AI) is how could we ever determine when something is *forgotten* or when (in the passing years and decades) we forget something we once knew. Another important question is what exactly is meant by "how to think". Many people use that expression, but a bit too casually (in my estimation). What does it really mean? And does it mean different things in different contexts? For example, one may know "how to think" about unfamiliar mathematical problems, but not at all about something as simple/fundamental as what a healthy diet is and why. So, this really boils down to two questions: 1.) How might we ever determine when something is forgotten? 2.) What exactly is meant by this all-too-common phrase "how to think"?
@bradburdett4491
@bradburdett4491 2 жыл бұрын
Stop thinking of forgetting as a negative thing. Forgetting is a filter of what's important. A 4 year old is mesmerized by a butterfly. A 70 year old appreciates it's beauty. The older you get the faster a year will go by. It seems this way because of The Filter of importance or The filter of Significance.
@Bultish
@Bultish 3 жыл бұрын
GREATEST SHOW ON EARTH
@pfever
@pfever 3 жыл бұрын
I just saw this idea of contact tracing being applied in Taiwan now! Pretty cool!
@halfdan7722
@halfdan7722 3 жыл бұрын
This Guy is Amazing !!!!
@zaks7306
@zaks7306 8 ай бұрын
Thanks for a fascinating conversation
@haythamal-dokanji9547
@haythamal-dokanji9547 3 жыл бұрын
Great conversation and a very likable guest. I think trying to solve computer programming problems using algorithms is similar to solving mathematical problems and perhaps provide the same advantages. This can also be a nice daily or bi-weekly routine.
@LDdrums20
@LDdrums20 3 жыл бұрын
What a fantastic guy! Fascinating!
@user-co5cx6ez6r
@user-co5cx6ez6r 3 жыл бұрын
3rd time watching, just pure brilliance
@Justsayingmythoughts
@Justsayingmythoughts 3 жыл бұрын
Discovery versus invention. It seems like everything is just discovered when I start to think about it.. . Certainly shares a fine line.
@watari3
@watari3 3 жыл бұрын
One of the best interviews.
@indiablackwell
@indiablackwell 3 жыл бұрын
I love that he doesn't overlap his exams. One thing that is really gross that some teachers do is just go over questions on the test and spoon feed how to answer them. You learn nothing by that
@arunenquiry
@arunenquiry 2 жыл бұрын
There's value in knowing how certain standard problems are solved. Not everything has to be about solving novel problems.
@ultrabellowman
@ultrabellowman 3 жыл бұрын
that part where he explain his teaching philosophy at 1:04:40 is how teaching should be, helping the student solve problems in that area
@billynollii7396
@billynollii7396 3 жыл бұрын
CMU is a great place. My daughter was a crash hot HS student, and was put on a wait list there. Later, got a chemical engineering degree elsewhere, but I digress. Great interview. I enjoyed it.
@indiablackwell
@indiablackwell 3 жыл бұрын
He’s incredibly down to earth for someone who has no reason to be down to earth
@sriragvuppala4332
@sriragvuppala4332 3 жыл бұрын
I'm incredibly grateful for this episode! Thank you Lex!
@danh5226
@danh5226 Жыл бұрын
really like the second half of this episode
@Batman_akzo
@Batman_akzo Жыл бұрын
Po is absolutely right about the discovery part of math. Mathematics is real and is proven truth. The reason its true is because of the underlying phenomenon being real and already existent.
@Legola87
@Legola87 3 жыл бұрын
Wow, awesome Qs and even more awesome answers!
@sixpooltube
@sixpooltube Жыл бұрын
Love this channel but I feel Lex didn't let the guest speak enough in this episode. Nonetheless, still enjoyed it!
@adriennebelle3338
@adriennebelle3338 3 жыл бұрын
I love the decoration to match the conversation :)
@Pammy11J
@Pammy11J 3 жыл бұрын
I love this guy, epic
@dyer308
@dyer308 3 жыл бұрын
I love this guy!
@RakeshLahoti
@RakeshLahoti 3 жыл бұрын
holy crap ... it's scary how Lex manages to get guests on his show that I have been researching just 24 hours before ... **checks self for trackers**
@Danielfaust0
@Danielfaust0 10 ай бұрын
Amazing conversation. Thanks
@avb20540
@avb20540 3 жыл бұрын
Po-Shen seems like a super cool guy/professor
@ryantuohy6890
@ryantuohy6890 3 жыл бұрын
This into was absolutely killer
@harrisoncentner6876
@harrisoncentner6876 3 жыл бұрын
Dr. Loh is SO cool!!!
@jareddiliberto60
@jareddiliberto60 3 жыл бұрын
Looking forward to the Lex Cinematic Universe. Keep the content coming
@nodesofnature603
@nodesofnature603 3 жыл бұрын
1:22:28 Ladies and gentlemen, we got em
@djgq1007
@djgq1007 3 жыл бұрын
Nice catch!
@xnxbxs_zx
@xnxbxs_zx 3 жыл бұрын
Thank you 🙌
@shailajadsharma3516
@shailajadsharma3516 10 ай бұрын
Thank you for the informative videos
@vasylmyeshkov7791
@vasylmyeshkov7791 3 жыл бұрын
Highly inspirational video. Thanks, Alexey!
@masoud13i
@masoud13i 2 ай бұрын
this guy is so math that even his philosophy for life is full of math 😁👌
Wait for it 😂
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