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Path Dependence and Tipping Points

  Рет қаралды 89,875

Sabine Hossenfelder

Sabine Hossenfelder

Күн бұрын

Пікірлер: 712
@HaveANceDay
@HaveANceDay 4 жыл бұрын
Sabine, I love how you tackle these questions in a honest way and very didatic. This is much needed today, because most people like us have an intuition of these tipping points but don't know enough to explain this to someone else who is a negationist.
@clmasse
@clmasse 4 жыл бұрын
There have been a tipping point in the past, first for the beginning of the ice period, then for its end. There have never been a stable climate on earth, and the man is hopeless in preventing the climate from changing. Tipping points flip all the time, several time a year, but we are not said. We are said only when the aim is to halt the Chinese from developing, using false arguments from roten science.
@ps200306
@ps200306 4 жыл бұрын
I love Sabine's videos, but I think she created something of a strawman here. Shellenberger did not say that "tipping points are unscientific" but that *_speculation_* about tipping points is unscientific (see 10:00). In other words, the models do not support some of the wilder speculations. Sabine effectively agrees at 10:50 but makes it look like a disagreement because of a misquote. Btw, the conditions for substantial weakening of the AMOC, let alone collapse, is way outside the worst case warming scenarios of any of the models. Paleoclimate evidence indicates that the AMOC did not shut down even during recent glaciations.
@clmasse
@clmasse 4 жыл бұрын
@O. M. Even that isn't true. There have been a period around 1100 - 1300 where the global temperature were even higher. It is a long lasting trend, and in fact it is no other that the end of the ice period. . Second, there have been an even shorter heat period at 2500 BC in Africa. It lasted only twenty years and tumbled the Egyptian old empire. . It is not anthropogenic climate change.
@clmasse
@clmasse 4 жыл бұрын
@@ps200306 It is the general method of ridiculing anyone that issues an opinion not going in the intended way. That's exactly what is not scientific and shows for sure that it is but a hoax and a mass manipulation. Keen minds are not fooled and Sabine certainly not either, she's just managing her career.
@tannerfaust433
@tannerfaust433 4 жыл бұрын
@@ps200306 why would glaciation shut down AMOC?
@simran3366
@simran3366 4 жыл бұрын
Sabine giving off total queen vibes!!! thanks a lot for being my role model !!!
@nickvanamstel
@nickvanamstel 4 жыл бұрын
My favourite You-Tubers are the ones that attempt to teach complex science concepts in a clear and simple way and Sabine Hossenfelder is one of the very best educators on here. Thank you so much for this and all your videos.
@thetntsheep4075
@thetntsheep4075 4 жыл бұрын
Extremely clear explanation of something I'd never thought about before.
@sgcollins
@sgcollins 4 жыл бұрын
The best two things about Dr Hossenfelder's videos are [1] her concision: that I can learn a lot in a short time, and [2] that if I forget what I just learned, I can watch them again.
@ixglocTV
@ixglocTV 3 жыл бұрын
Just did [2].
@contessa26-jim
@contessa26-jim Жыл бұрын
Yes please! We need more people with influence to get this message home, there's no more time to waste!
@MeppyMan
@MeppyMan 4 жыл бұрын
This was one of the easiest to understand and straightforward videos I’ve seen on this topic. Thank you. Going to share it around.
@brooksiefan
@brooksiefan 4 жыл бұрын
High relevance, objectivity, clarity, diversity, wit, depth... she's got it all! Love her videos!
@malik-h2e
@malik-h2e 4 жыл бұрын
Sabine and chocolate in saturday morning is just perfect.
@acobolew1
@acobolew1 4 жыл бұрын
Agreed. I was hoping she'd return to chocolate at the end, but it ended darker, unfortunately. And even more unfortunate is how *important* it was for her to end there. We might really be in big big trouble
@kenelliott8944
@kenelliott8944 4 жыл бұрын
A tipping point does not necessarily imply something negative! After watching this video, I passed a tipping point in knowledge and shall never return to my prior lack of understanding ever again! Thank you, Dr. Hossenfelder!
@domainofscience
@domainofscience 4 жыл бұрын
Brilliant explanation! And I'm loving the new backgrounds.
@TheRock-zf3jp
@TheRock-zf3jp 4 жыл бұрын
Love your videos man 👍🏾
@uppostle
@uppostle 4 жыл бұрын
Wow! As a chocolatier, I’ve been experimenting with holographic chocolates. I can get gorgeous and vivid holograms etched into the chocolate surface, but after several days they begin to fade and eventually just become “regular” chocolates, so they have a very short shelf life compared to other tempered chocolate surfaces. A scientist friend from the University of Arizona sent this video to me as an explanation, but I learned SO much more. What a fascinating - and relevant - video.
@bitegoatie
@bitegoatie 4 жыл бұрын
Well done. You broke that down like a chef breaking down a fresh cauliflower - cleanly and swiftly with indigestibles put aside and the good bits recast and put to creative use. Teach on.
@lindsayforbes7370
@lindsayforbes7370 4 жыл бұрын
I came for the chocolate and got climate change explained. Brilliant. More please
@glennbritten3044
@glennbritten3044 4 жыл бұрын
Young lady you are incredible, I've always loved math but I stopped studying when I retired but you have instilled in me the urge to really understand Quantum Mechanics, your definitely the best I've seen on Science. Thank you
@adriansdigitalbasement
@adriansdigitalbasement 4 жыл бұрын
Sabine, I just found your channel and I'm instantly hooked. I'm in awe of the simple and clear way you can explain such complex things. Plus, you aren't afraid to call people out on their BS. Thank you, the community needs more people like you!
@TheWeatherbuff
@TheWeatherbuff 4 жыл бұрын
I'm going to add this video to my "great explanations of how this stuff works" collection. I am a meteorologist based in Denver, CO, but I forecast for cities all over the United States. I am very diplomatic with people who want to know exactly how much snow they're going to get... at their house. The exact topic you're covering comes up all the time here in Meteorology Land. I appreciate your video, and your channel. :) Peace.
@manucitomx
@manucitomx 4 жыл бұрын
And so, having gone from to chocolate to climate change via a falling parasol I’ve experienced first hand a path dependency. Sabine you’re my tipping point for science. This has to be the best, clearest science channel on the internet. Thank you.
@Caterpillar7220
@Caterpillar7220 4 жыл бұрын
Thank you! I believe many people are skeptical about climate change because climate scientists have always been unable to explain their science in a simple, yet robust way. Your example is easy enough for common people and strong enough for science fans.
@clovislyme6195
@clovislyme6195 4 жыл бұрын
One of the many reasons for following Dr Hossenfelder is that her clear expressions of scepticism on some subjects - her willingness to swim unpopularly against the tide of other experts, - means that when. as here, she swims with that tide, I take her very seriously indeed. In other words, she has won trust - the most valuable commodity in any discourse.
@rmehta54
@rmehta54 4 жыл бұрын
Brilliant!!! Very apt and simply put a complex topic. Two minutes in, I paused and gave it a thumps up. At the end, I wish I could give more thumbs up. Thanks Sabine, for covering this important topic and explaining it in terms understood by non-scientists.
@michelegianni389
@michelegianni389 4 жыл бұрын
While I knew many of the notions explained in this video, I missed the overall picture. Thank you Doc Sabine. You (and this planet) deserves > 2M subscriptions.
@guycooke314
@guycooke314 4 жыл бұрын
Sabine, that was masterfully done. I wish I’d had someone like you teaching physics. You not only know your “stuff” but you are an excellent teacher. Please, keep it up.
@blondrew
@blondrew 4 жыл бұрын
Thank you Sabine. You are a fantastic teacher. You make physics fascinating and connect it to day to day experience.
@Coonfused57
@Coonfused57 4 жыл бұрын
Thank you I've never gotten an understanding of hysteresis before. Never too old to learn something!
@HuskyJugs
@HuskyJugs 4 жыл бұрын
That's the best explanation I've heard to date. There's way too much complication and nonsense out there for my poor brain to handle.
@clermeil
@clermeil 4 жыл бұрын
"I have squeezed myself into this T-shirt from my daughter" (5:43) Oh my.
@cipaisone
@cipaisone 4 жыл бұрын
your efforts to popularize not only fundamental physics, but also (and woth the same impeccable rigor) climate change issues. you are truly amazing
@at0mly
@at0mly 4 жыл бұрын
This is fast becoming one of my favorite channels on KZbin.
@geekinasuit8333
@geekinasuit8333 4 жыл бұрын
Speaking of tipping points, I got as far as the swinging pendulum ... when I woke up youtube had switched to a video about Shellenberger. Made the point brilliantly!
@chetand3200
@chetand3200 4 жыл бұрын
This explanation of tipping points is so informative.. Earlier I was thinking climate change is just accumulative effect of pollution but what you said gave me very good scientific intuition of no going back scenario. Thank you..., Your videos are very informative,entertaining and encourages critical thinking. From small village in India, Hardly having internet connection... Listening your lectures feeling wondrous... Thank you again...
@happyhome41
@happyhome41 4 жыл бұрын
FANTASTIC topic and presentation with wonderful real world examples.
@samrashe8295
@samrashe8295 4 жыл бұрын
This is the best explanation for tipping points I have heard in a long time thank you for the lecture.
@metametodo
@metametodo 4 жыл бұрын
Every now and then you amaze me with what and how you bring on to topic. I'm fascinated by such processes patterns that aren't exposed as much like path dependence. It's unfortunate in my view how as a society we tend to essentially give attention only to simpler, linear systems. Not only such non linear systems and their processes are extremely beautifully complex, but reality, be it physical or social, is crowded with systems that aren't as straightforward, and we must understand such differentiated processes to live well in our world. Thanks you for your work, Sabine.
@RalphDratman
@RalphDratman 4 жыл бұрын
Well done! Sabine, that is one of your very best videos, I'd say. Really excellent. Thank you!
@ominollo
@ominollo 4 жыл бұрын
Thank you Sabine! I just wish that channels like yours were much more popular on KZbin! Sometimes I think stupidity and stubbornness will get the whole humanity extinct...
@claudiorio
@claudiorio 3 жыл бұрын
I just recently found your channel and I second Yuri's pinned comment: it's refreshing the effort you make in your videos to be intellectually honest.
@Quroxify
@Quroxify 4 жыл бұрын
Even though I already knew most of the material I was blown away by the sequins sequence. It really drove home the concept of two equally stable equilibrium states separated only by a tipping point. Awesome and thank you Sabine. 🤭
@nomad8473
@nomad8473 4 жыл бұрын
I can't emphasize this enough; your approach to scientific understanding,as one based upon asking questions and challenging suppositions is such an attractive approach to reason that it describes the very reason i love reason, more than i love science.
@Thomas-gk42
@Thomas-gk42 9 ай бұрын
I'm always thrilled when a discover a video among your older ones, I didn't yet know. Such a clear explanation and message, can't thank you enough. Hope some more people find here ❤
@lloydgush
@lloydgush 4 жыл бұрын
Someone please give this woman a nobel! Well, not actually a nobel, but you get the ghist!
@fmissagia
@fmissagia 4 жыл бұрын
I love your videos, Sabine. You're one of the most sane and goodwilled people producing content in an understandable way. Keep up the good work :)
@francoischatel1719
@francoischatel1719 Жыл бұрын
Very interesting, your daughter have great taste und I love when you use your energy field to produce entangled particles.
@anatomicallymodernhuman5175
@anatomicallymodernhuman5175 4 жыл бұрын
Clearest explanation of hysteresis I’ve ever heard. I’ve used hysteresis controls in audio gating devices for years, and looked up the term to figure out why they were called that. It remained a bit obscure to me until I watched your illustration. Thank you! So, yeah, tipping point coming, and when it tips, it’s going to get cold. Very cold. We’re kidding ourselves if we think we can stop it because carbon dioxide has nothing on solar particle forcing. Meanwhile, we should stop pollution, seek for better energy sources, and prepare for the next ice age.
@ThatCrazyKid0007
@ThatCrazyKid0007 4 жыл бұрын
What is solar particle forcing?
@anatomicallymodernhuman5175
@anatomicallymodernhuman5175 4 жыл бұрын
MRShockwave , It’s the effect of the solar wind on earth’s weather and climate. The sun and its planets have interacting magnetospheres that carry current in the form of waves in the plasma of the solar wind. Some of that flows along earth’s magnetic lines to the poles. More intense blasts compress the ionosphere and heat it up, which is visible as the auroras. It’s a relatively new field, and still not fully understood. So, it hasn’t made it into the climate models in a very significant way yet, even though we know its effects dwarf many more subtle contributions like the human ones.
@thelocalsage
@thelocalsage 4 жыл бұрын
Brilliant video! As a chemist, we touched on this a bit and it was difficult to wrap my head around at first. it’s always fun to see many perspectives on this (:
@hojoj.1974
@hojoj.1974 4 жыл бұрын
I love it when the Good Doctor calls people out...
@vincentclark5739
@vincentclark5739 4 жыл бұрын
I wish I discovered this channel later. It didn’t take my too long to watch all of the videos. I was stoked when I got the notification of a new video!
@pronounjow
@pronounjow 4 жыл бұрын
"I wish I discovered this channel" earlier*. Fixed it for ya. 😉
@jaf0761
@jaf0761 4 жыл бұрын
@@pronounjow Vincent meant later, jajaja. This way it had taken him a looooong time to catch up
@jackpisso1761
@jackpisso1761 4 жыл бұрын
This comes in nicely just after I've watched a video about the memristor on Computerphile. The same "memory" effect but under different words. What a nice coincidence.
@khaliliskarous2225
@khaliliskarous2225 4 жыл бұрын
Thanks so much Sabine. This is the most beautiful introduction to the physical feel of dynamical systems, using a complex and vital example at that, There may even be a hidden introduction to holonomy and ideas deep to gauge theory, as hysteresis/path-dependence is a nice example of geometrically-gained phase. Thank you!
@AlessioDellaMotta
@AlessioDellaMotta 4 жыл бұрын
Sabine, since I discovered your channel I can’t wait for your next video! I am so grateful of your willingness to share your knowledge with such honest, scientific and clear explanations. Channels like yours help to raise awareness not only in physics but also in rationale empirical thinking, which (while not the only type of thinking humans should do) is very much needed nowadays! Thank you! P.S.: I am also a huge fan of your Theories of Everything greatest hit ;)
@henryseldon6077
@henryseldon6077 4 жыл бұрын
Identifying tipping points is a fascinating subject that I never thought about before. Thank you for sharing this.
@adityasengupta582
@adityasengupta582 4 жыл бұрын
I was just watching the Tim Palmer video today and then this dropped. Really amazing video.
@rosamendonca9837
@rosamendonca9837 4 жыл бұрын
Great video Sabine!!! Keep up with the good work and thank you for educating us with wonderful physics :). Greetings from Portugal.
@williammorton8555
@williammorton8555 4 жыл бұрын
An excellent explanation of tipping points and that the data can point to the existence of a tipping point and lack of specificity for timing does not erase its reality. I use the example of a double pendulum, I can predict that there will be odd behavior with certainty, just not the timing or sequence.
@treborg777
@treborg777 4 жыл бұрын
Thank you for making this video. It is a joy to watch, and you’ve done a great job developing and presenting the material.
@Philoreason
@Philoreason 4 жыл бұрын
Really, really appreciate the explanation, it's clear as crystal. We need to bring awareness and the basic understanding of concepts behind climate change to the public in order to have meaningful debate.
@ernstferg5034
@ernstferg5034 4 жыл бұрын
Nice talk on tipping point. And yes tipping point are a point of no return. At least along the same path. And they are usually unpredictable in terms of exact timing. If we knew exactly when a major tipping point might occur. By the fact of knowing it. We might prevent it from happening. Then it is not a tipping point. Keep up the dynamic discussion on various topics. And keep singing about interesting events
@Euquila
@Euquila 4 жыл бұрын
Oh wow are your explanations ever clear! The hysteresis graph was something that always stuck with me from my electrodynamics course.
@user-sb3wh3dd4v
@user-sb3wh3dd4v 4 жыл бұрын
A always Sabine, EXCELLENT! Besides being your most delicious video to date, the beautiful way you transition from a concise explanation of path-dependence / tipping-points is ...stunning. Now, ...How I wish we could get competent and ethical politicians to understand this stuff.
@BANKO007
@BANKO007 4 жыл бұрын
There is nothing boring about high school physics which inspired me to study physics in university. I also recall explaining exactly this in the 1970s to people who had never heard of climate change, using a flat knife on a desk instead of the parasol to demonstrate the concept of an alternative equilibrium climate state.
@HitAndMissLab
@HitAndMissLab 4 жыл бұрын
These cumulative explanations are great forms of educational narratives. Not that I learned how chocolate melts, but what it has in the common with magnetic hysteresis, and ended up learning why climate change might become irreversible. Bravo! Can we please have more of this content where different principles of physics are demonstrated in real life scenarios, same as path dependance.
@artkoenig9434
@artkoenig9434 4 жыл бұрын
This was delightfully entertaining! I especially enjoyed the connection between physics, tipping points and chocolate! Thank you!
@FLScrabbler
@FLScrabbler 4 жыл бұрын
Wow! This could hardly have been presented any better. Great work once again.!!
@bhangrafan4480
@bhangrafan4480 4 жыл бұрын
A relative of mine knew someone who worked at Mars and he explained many years ago that one of the most important features of chocolate is that it should melt at the correct temperature, the temperature in the mouth. This has been recognised for a long time by the big chocolate manufacturers as a key to success.
@mustafashaban7193
@mustafashaban7193 4 жыл бұрын
The path you took from chocolate to climate change is smooth and full of tipping points Love what you are doing 💐
@imilegofreak
@imilegofreak 4 жыл бұрын
I'm equally enlighted and scared now.
@JGscienceGaming
@JGscienceGaming 3 жыл бұрын
Just made my list of binge watched science channels! Sweet 🍫 Thank you Sabine!
@i18nGuy
@i18nGuy 4 жыл бұрын
Another brilliant video Sabine! Accessible to laypeople and important for everyone to understand. Sharing to my social media friends.
@richardcottone6620
@richardcottone6620 3 жыл бұрын
Thank you for this vido . It will allow me to explain more precisely why, and how climate change is such a serious problem.
@cat-.-
@cat-.- 4 жыл бұрын
Even if I click on the topics I thought I already knew about, you keep me surprised how much there is I need to learn
@zestyorangez
@zestyorangez 3 жыл бұрын
it's amazing when you realize how so much of our world can be described with differential equations.
@0x90meansnop8
@0x90meansnop8 4 жыл бұрын
Ihre Videos sind so toll! Sie wählen sehr interessante Themen aus!
@RCrosbyLyles
@RCrosbyLyles 4 жыл бұрын
Chocolate coated truth bomb! Right, changes in flow can happen suddenly and persist for a long time. And yes, this is the thing that most people understand vaguely enough to be washed over with nonsense. Thank you for talking about it, Sabine!
@williamschacht
@williamschacht 4 жыл бұрын
Definitely a nice video with lots of concepts to think about. It's interesting to see the same concepts emerge in different phenomena, e.g., the hysteresis. I have seen this in friction models. Always interested in "tipping points" and nonlinear dynamics.
@kingof.london
@kingof.london 4 жыл бұрын
She is the best scientist on KZbin.
@wolfwerner2887
@wolfwerner2887 4 жыл бұрын
Liebe Sabine Ein hervorragender Vortrag,und ganz ohne Formeln (smil Wolf
@thedoomedheroes
@thedoomedheroes 4 жыл бұрын
Mam, I see you have taken more interest in climate change models. I wish to have more answers in Physics within my lifetime. And I observe you as one of the lighthouse in achieving it.
@landsgevaer
@landsgevaer 4 жыл бұрын
@Goran Vukovic You mean that climate change is just in the mind, you think? I'm pretty sure Sabine would stick with the pretty clear data that it isn't, and these tipping points paint a pretty critical picture. Her video is also very clear on that.
@IanGrams
@IanGrams 4 жыл бұрын
@Goran Vukovic What predictions have not come to pass? Evaluations of the climate models have shown them to be accurate at predicting warming. "We find that climate models published over the past five decades were generally quite accurate in predicting global warming in the years after publication, particularly when accounting for differences between modeled and actual changes in atmospheric CO2 and other climate drivers." agupubs.onlinelibrary.wiley.com/doi/10.1029/2019GL085378
@landsgevaer
@landsgevaer 4 жыл бұрын
@Goran Vukovic Indeed the scientists have recently started to admit that they underestimated the speed of climate change, if anything. You are a dieing breed as a climate change denier; but you managed to delay countermeasures so much that I firmly think we're all a dieing breed now. If you cannot see the huge changes, even by just watching the news, then you are seeingly blind.
@landsgevaer
@landsgevaer 4 жыл бұрын
@Goran Vukovic Those "youtube commenters" can say what they want too. Rather ignorant than knowingly wrong. That attitude explains a lot of our problems.
@landsgevaer
@landsgevaer 4 жыл бұрын
@Goran Vukovic Then you understand zero of the scientific method, my dear fellow man. Theories never get confirmed, they get disproved when they are wrong, and the longer a theory isn't disproved and the more accurate it proves to be, the more trust it gains. But I see this basic understanding is way beyond what you accept. I can't disprove god to a believer just like I can't disprove your ideas to you. On the heap with flat Earthers, moonlanding deniers, and 5G conspiracists this discussion goes. Farewell, I'm out.
@davedsilva
@davedsilva 4 жыл бұрын
Fantastic. Will incorporate tipping points into my Oct 21 Washington Quantum Computing meetup presentation as a solution to climate change. I inspire to be Sabine like caring.
@miklov
@miklov 4 жыл бұрын
I don't know any other content creator with such high (interesting stuff)(time⁻¹) density. Thank you!
@MrKatana333
@MrKatana333 4 жыл бұрын
Sabine, thank you very much for this content!
@Ottbucket
@Ottbucket 4 жыл бұрын
Love your vids. "... Chocolate is not usually the example that physicists use as an example of path dependence..." What?! Made me smile.
@christinearmington
@christinearmington 3 жыл бұрын
The most elegant, factually based snark ever! 🤩💐✨🌊🔥🌍
@healinghub1112
@healinghub1112 4 жыл бұрын
Your analogy made my day professor! Thank you
@htannberg
@htannberg 4 жыл бұрын
Do you know what time it is?????? It's BIRTHDAY TIME!!! Happy Birthday Sabine !!! May you be happy, healthy and always have all your neurons connected in the right order because your amazing. I hope you post some sort of a birthday video, and thank you for all the wonderful content over the years. I really look forward to each new posting. Cheers!
@marklawes1859
@marklawes1859 4 жыл бұрын
I was aware of magnetic hysteresis but had not really made the connection between that and the concepts of path dependence as tipping points so thanks for that insight.
@dsc4178
@dsc4178 4 жыл бұрын
We have to get more information about the Medieval Warm Period to get a better idea of AMOC tipping points, plus understand more about how added energy affects dynamics on a global scale. And finally, if things change, does it have to be catastrophic or even for the worse?
@johnsmith1474
@johnsmith1474 4 жыл бұрын
Very nice, Atlantic Meridional Overturning Circulation is added to my list of concepts to review over time. The salt dilution factor was something of which I was not aware.
@MiniLuv-1984
@MiniLuv-1984 4 жыл бұрын
It's irrelevant that you are a woman, what is relevant is that you are fearless and call out bullshit without hesitation. Thank you Sabine.
@zerodivider4333
@zerodivider4333 4 жыл бұрын
This channel is growing. Sabine is making waves. No pun intended.
@Jhopsssss
@Jhopsssss 4 жыл бұрын
This is an excellent video. Thank you for taking the time to share these.
@TehJumpingJawa
@TehJumpingJawa 4 жыл бұрын
It's shameful this video has so few views; *everybody* needs to see it!
@macpr0c
@macpr0c 4 жыл бұрын
Great video as always Dr. Hossenfelder, giving an intuitive understanding of path dependent systems and the emergency of climate change at the same time, it was quite engaging.
@idebenginight3342
@idebenginight3342 4 жыл бұрын
Now I want everything to be explained by Sabine 😊 Everything.
@MCsCreations
@MCsCreations 4 жыл бұрын
Pretty interesting! Thanks a lot, Sabine!!! 😊 Stay safe there with your family! 🖖😊
@michaelcornish2299
@michaelcornish2299 4 жыл бұрын
Nice one. You just described a major part of my life as a physics teacher and it made my laugh. I always say to students that we investigate the pendulum to help get into the swing of things. It makes me laugh anyway.
@positronundervolt4799
@positronundervolt4799 4 жыл бұрын
This is my first time here on this channel. I couldn't subscribe fast enough. I think I'm in love. 🥰
@Zamicol
@Zamicol 4 жыл бұрын
Sabine, you are fantastic. Great video. Someone should post this on /r/physics. The mods there hate her. If they ban you come to /r/cosmology. We'll love you there.
@Krmpfpks
@Krmpfpks 4 жыл бұрын
I don’t think balls rolling down a plane are boring. But chocolate and umbrellas are interesting too, especially if they serve as examples for a very important point. Thank you again Sabine.
@flugschulerfluglehrer
@flugschulerfluglehrer 4 жыл бұрын
I LOVE your ambiguous sense of humor.
@iramkumar78
@iramkumar78 3 жыл бұрын
I was thinking singularity when she said tipping point. Glad it is that way. Sabine is sensible to me.
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