A visual guide to Bayesian thinking
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- เผยแพร่เมื่อ 16 มิ.ย. 2024
- I use pictures to illustrate the mechanics of "Bayes' rule," a mathematical theorem about how to update your beliefs as you encounter new evidence. Then I tell three stories from my life that show how I use Bayes' rule to improve my thinking.
If a repair man wants to rob you, he'll do it when he's writing the bill.
Good One!
TRUE..the repairman was looking to see if there were males in the household or someone else
who might know he was gouging you when he did the repairs and billed
you. i know LOTS of trades repair companies (especially plumbers and
heater/AC) that permit their installers to keep half of the take.
their crooked tradesmen will look around to gauge the ability of the
customer to call BS on unnecessary or bogus repairs...especially on
women who are unlikely to know if there even is such a thing as a
conibbler pin or a fragistat. years ago my wife got a bid for $750 for
new brake pads on a small car. when i called the guy to ask if that
included the rears and new rotors and bearing he said no...JUST PADS,
front only...no fluid bleed, no bearing regrease, not even a rotor
resurfacing. i told him he should be ashamed of himself as i had a bid
from the local legit repair shop for $130 including surfacing, repair
persons are incentivized to overcharge but are smart enough to do it so
they don't get caught
Mortimer Snead He likes the way you decorate?
VALID POINT !
You should tell your wife to have her Veyron serviced somewhere else.
before video : chances of me being a millionaire 0.1%
after video : i applied bayesian thinking (remembered my priors) , now the chance is 0.0001%
What was the new piece of information you used to update your priors? I'd love to see the full calculation. ;)
Reality bites!
asdfghyter fact that he is wasting his time on TH-cam might be one of them :p
yeah in America there's 10M millioniares. That's 3.33% of the population. If you save your money not becoming a millionaire is impossible unless you are 50 yrsold, or have an IQ below ~90ish probably
Sudhamsu
You live to the ripe old age of 125 :)
Great, explanation. Your real world examples were very useful for me to think through. Thanks.
You are a naturally gifted teacher, thank you very much. This will come in useful for certain areas of interest, in particular biases. If you've not covered Henry George yet, go down that rabbit hole and you may just find something.
Good. I've "known" Bayes' rule for 50 years but your explanation was the best visual one I've seen. I like the way you apply it to everyday life. Thank you.
Most people are really good at "Biasian" thinking.
genius pun ... duh
I see what you did there.
...which is to say, really good at fear mongering and mystical belief.
But they have to weigh up how true it is first.
bahaha i love puns. really helps that its spelled out lol
Think more when I know what's the right thing if you show your dissatisfied about me...
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Think more if you don't wanted me to hide anything from you
Very informative and probably useful as an introduction. Neat presentation, especially the graphics.
Four years since I first watched this video and for some reason, it is #1 on my recommendations today. Much appreciation. Watching this is bringing back fond memories of a summer long gone.
woah, that's SO strange because the same happened to me!
I got recommended this video and the thumbnail gave me de ja vu, because I've seen it before. And I think it was four years ago as well.
I've noticed a lot of comments dated "2 weeks ago". Maybe this youtube channel is making a big comeback.
I realize I've been using this intuitively for years to fight my, or others' fears. But being able to quantify and codeify it is such work work of brilliance, I'm astounded. That's a smart person.
Think more to not be fool either by how others testedly testing my way of knowledge perceiving life...
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Think more just like I know what my hands did in an hour, a day, a week, a month, a year and how I bestowed on the outcome of it regularly
This was exactly what i was searching for. Thanks Julia!
You are a naturally gifted teacher, thank you very much. This will come in useful for certain areas of interest, in particular biases. If you've not covered Henry George yet, go down that rabbit hole and you may just find something.
The fact that none of those stories were completed shakes me to my core.
I wanna know wtf the repairman was doing because I peek around a lot and i dont have a lot of social experience, so i like to know what things people are doing wrong
Ikr?
These personal experience examples were amazing, helped understand it more intuitively. Thank you! Came here after crunching through some equations but these real world examples showcased the theorem in a very simple way.
Think more the hardest way of how I abstract the point of view, that instinct traits of most of us elaborated the different perceives...
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Think more as wise as how I become personally persuasive by not forcing anyone in what I believe, as the system wish
Very good video. I m learning statistics and this has helped me a lot
I have absolute no idea why this was recommended to me but here’s a new subscriber.
If the algorithm recommended it, think of it as good fortune. If it was a friend's recommendation then maybe it was a hint to be more open minded?
Yep
Think like me who doesn't fall in love to you, but who never allow you to be in love with anybody...
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Think like I still sense some emotional gamblers trying to snatching you from me
I had a rudimentary understanding of Bayes theorem prior to this video, but now I feel like I really understand it. thank you
Think more it's the only reason to have a strong argument with what I stand...
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Think more as wise as possible it's the hardest way to evaluate life as scout mindset
Isn't it amazing how personality and the subsequent psychology factors into not only the type of career path one may choose to do but also their attitude in life? Some people naturally tend to be shy while others are predisposed to be extroverted and thereby inclined to have greater degree of social success - these are the business and management types and are often well suited to their role. Perhaps this could be taken as an indication of what career an individual might be better suited for rather than lumping everyone into a uniform set and expecting them to perform in an identical way in accordance akin to a one dimensional academic expectation. Its like throwing out the baby with the bath water. In education, many will display a greater inclination toward a specific interest that presents itself as a good reflection of what they are really curious about. These subsequently aspire toward achievement in their chosen fields that is often associated with quiet study and solitude (think library) often resulting in an excellence in both attitude and performance. Additionally however, such a generalized performance model or KPI can exclude an individual from achieving their true potential as the expectation is in accordance to a generalization rather than specialization.
What would the personality traits of someone have to be for you to suggest they become a career criminal?
I've always liked to use something close to this general thought to keep my analysis, general guesses and knowledge of stuff updated and changing, avoiding fixed preconceptions or prejudices. This is quite similar in many ways to my personal system, although I haven't put it down in numbers or created clear rules and patterns, it was more psychological and simple.
It's very interesting to find something close, and makes me even more interested in the possibility of studying statistics, something I already like a lot, but don't know if I like enough to live on it.
Thanks for this, I think I first saw you with Matt Parker on Bayes. Keep up the great job. Every detail can have a small influence on coming to momentary (?) conclusions, always doubt yourself.
The fact that there's so many comments here along the lines of "wow, this totally changed my perspective on everything" is quite unsettling to be honest.
But positive.
Didn't find any, and that's unsettling too
well, It is reflected in the politicians most people choose.
ok why did a bunch of people get this video in their feed... pls comment.. what did u last watch?
@@sasisarath8675 "How to rob people by pretending to be a repairman"
This is really nice way to convey how statistics can be fallable and misunderstood
not to mention how they are purposefully misrepresented in propa pieces, being reported as percentages without absolute numbers and vice versa..
Think more as wise as how I stopped here
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Think more as wise as how I understandably win a particular argument with you
The trouble with updating beliefs while encountering new evidence today is we can all find evidence to support any belief. It really depends where one looks for said evidence. We all have so many information sources to tap now. So everyone can easily find whatever echo chamber they need, to reinforce whatever belief they hold dear.
Your statement is fully correct. It looks that statistics become more stable if you get more and more data. However the quality of data matters a lot too! And this is also included to the Bayes theory! The simplest example is having two Gaussian distributions, if you put them together, the tighter one will win, i.e. the more uncertain one has little impact. Indeed it is hard to quantify everything, but with the Bayes theory all is combined at least in a consistent way. If you want to get on something, the theory helps you not to loose.
Yes, you have to be honestly self aware to be able to use the principle - ie you have to ask the question "how would the data look in my personal echo chamber if I was wrong" vs "how would the data look in my personal echo chamber if I was right"? And you would honestly have to draw the conclusion that my echo chamber will still only resound the message I already have taken as true, wether my belief is true or not.
I've done a lot of repair work, and I know what's it's like to be in the category: "looks like he's going to rob you but really he's just doing his job." Let me tell you - every place is built differently, and you should always keep your eyes open.. One time I found a gas line going into a bedroom and not even capped off. The place would have filled up with explosives at the turn of a knob, well if not for my "snooping about" that is. But it's also part of the job description to not freak people out. I just said, "I need to look around a bit to make sure I know where all the gas lines are going."
That girl did not provide adequate background on stove repair. Like, old house, gas or electic stove. Why is this critical information? A good repair-man/woman, would look around to not only fix the point but also all connected to that point. Also, it would be so easy to inquire, why are you looking into bedroom/s? She phrases it snooping, which is secretly done, which did not seem to the situation/
Uh, I think that might have been because the video wasn't about stove repair. The details are rather incidental to what she was actually explaining.
She's in her thirties.
As a repairman also, I'll throw in my 2 cents worth. When you enter a house to do repairs you should always examine your surroundings to identify any potential exit points or hidden dangers such as friendly dogs that don't bite (been bitten twice).
Brew Sauce+ I've done a lot of electrical repair work, and it becomes second nature when entering an unfamiliar place to glance around looking for potential problems, to a point where one may not even be aware of it. And btw, I've spotted many problems -- shock and/or fire hazards -- that the homeowner was oblivious to. It is the responsibility of the electrician to spot these hazards, point them out, and recommend (even insist) appropriate remedies. I imagine it's the same for someone coming to repair your gas range (assuming it is a gas range). He would want to know if there any other gas appliances in the house, any lines/valves/couplings that might be problem, etc. It would be irresponsible to not ascertain this info.
very important what you did on thinking
Think more when I can't sleep
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Think more the only person I feel secured to tell to
Repairman snooping around for the circuit breaker: Appliance repairmen sometimes have this weird preoccupation with turning off the electricity to an appliance before they work on it. 220 volts can really ruin your day.
In the UK at least, by law there has to be a circuit breaker within reach of the stove. In the US it will be split phase, so pretty hard to get the full 220v.
@@Tensquaremetreworkshop Most stove are run on 220V as well as electric dryers. Fools and high voltages can soon be connected.
Maybe he was looking for a bathroom.
@@walkergarya Yes, I know. And that is split phase, so 110 to ground. If you are not familiar with split phase, look it up.
It's not the VOLTAGE that kills you, it's the cardiac arrest.
Wow! This was very insightful. Even the way you calculated the conditional probability without using the formula and just using the areas instead.
@Julia very good explanation. What is the tool you used to draw the things on screen?
Think more when I'm wise enough to be more than being busy...
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Think more when I'm wise enough to not be fool by entertaining hardworking people
I was reading an old newspaper and came across this theorem, thank you for clarifying!
why were you reading an old newspaper?
I got an odd sense of deja vu while reading your comment.🤔
do you even know what a theorem is?
Old newspaper? As in, TH-cam would only play at 480p in it?
Ever in your life did you wish you had a Hurdy Gurdy?
Julia I'm guessing you're the math PhD because I would have just straight up asked Tom what his major is.
maeve main?
NOT BAD
damn maeve mains every where
lol
i didn't know people still played paladins lol
great vid. What's the joint probability prior of shifty eye repairmen?
Think more as wise as possible to not be discourage when everyone says bad things on my back
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Think more as wise as possible to learn how to finish my own scheduled duty in a day and bother not with everybody else's businesses
As someone who uses Bayesian systems professionally, in daily life thinking, and also to show why other people's arguments don't land, I have to say that this is a fantastic video. It very clearly illustrates to the layperson why Bayes is what is and what the messages are. I will be sharing this with others.
Let me guess, you're one of those geniuses that predicted that there was no way for Donald Trump to win? because after all, Hillary got the women vote, the latino vote...lol
Let me guess, you're one of those people that mocks people a lot and ends their sentences in...lol
I've often seen Bayesian analysis in the title of academic papers, and this explained the basic principle. But instead of offering five very similar examples, perhaps she could have moved on to some more advanced applications in scientific inquiry and statistics.
_"As someone who uses Bayesian systems professionally"_
It's funny, because for people with any amount of intelligence these kinds of methods would just be completely intuitive, obvious or logical when working out decisions, it's incredibly basic mathematics. But then I guess I should never be surprised by how low the bar can be.
+jamma246
If you think this sort of thinking is intuitive, then you might want to check out LessWrong.com so you can see how deep the rabbit hole goes. Fallacious and biased reasoning is the norm in 98% of the population. Most humans are extremely weak at rationality by default. This makes the world a rather frustrating place.
Your videos have added that extra weight to my priors I need to convince me of the merit of Bayes Theorem. I'm committing myself to practice Bayes thinking. Thank you!
My friend; Bayes Theorem is running and operating regardless of your commitment status. To me, the video is a statement and not a proposal.
@@gyrojomo
Your perspective is of equal relevance to me, a 3rd party stranger. And perhaps OP's statement can nudge one more person into accepting the rationally sound choice of incorporating Bayes Theorem into their lives. That is a non-trivial post, but yours seems negatively intended and leaves me wondering, for what purpose?
Think more when I'm wise enough to stick with treasure....
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Think more it doesn't mean I can be easily fool by those who die-hardly tried to teach me morally lesson
Think more as I grow old...
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Think more as automatically regretter once I came across and encountered with stuffs that makes me Reasonable regarding with our daily behaviours
This popped up in my recommendations. Never have I been so instantly hooked.
Never did think of Bayes Theorem as a way of life, but it does seem fun.
Think more as wise as possible the hardest way when I learnt how to trust none when everyone doubted or confused me...
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Think more when I learnt how not to trust to those whom I trusted either when they make fun about me
Think more the hardest way as wise as how I'm honest to myself, with every details of how I spend my precious seconds of every minutes of every hours....
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Think more the hardest way even when I was supposed to be happy in a framely set-up man-made time-line schedule
Bayes' Rule is an important component of critical thinking. The ability to think critically is a skill that needs to be learned. The challenge is that common sense and intuition are often very wrong, and there's no trivial way for knowing when. It's on a case-by-case basis, and all those cases are about patterns that need to be recognized and examined.
This is such an amazing explanation. Thank you so much!
Think more the hardest way when I'm wise to be protective as mother to father, as father to mother...
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Think more although most of the time they complain to each other
Think more the hardest way as how a pile of *Grasshopper* looks like when we cooked them with simple method by attached them in proper arrange on a bamboo piece
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Think more as the gold color appearance when they are perfect for having them
I never update my priors.
In fact I would have assumed the repairman was wondering where he was gonna lay me out after eating my liver with some fava beans and a nice chianti.
Fake repairman is the oldest cannibal trick in the book.
which is why you're still here to tell the tale ...she's trying to lead us astray ...thank you
I just phone for a pizza delivery -guy-
That's seems like adaptive bias, where we adapt to minimize the cost instead of the actual probability
i laughed out loud at this
I like a nice Chianti. Am I a cannibal? D:
I've been struggling to "get" bayesian stats for a couple of years, sorry to say, because even in my technical work (biomedical informatics) I need visual representations of abstract relationships to help me think through problems. So your visual aids were extremely helpful to me. They took a rather wobbly abstract concept of priors and offloaded them to a visual concrete representation to reduce cognitive load. Thanks so much and I've subscribed to see what else I can learn!
To me, it's a cognitive load even after visual representations. One is either numerically/scientifically predisposed or isn't. I don't think you can force yourself to become adept at something you're not naturally adept at.
Think more as wise as how I didn't appreciated myself for scoring a good mark in English and Social Science when I did my Matriculation in 2009, as well as how I didn't appreciated myself for falling in the Second position list in my Science background Pre- University result in 2011, as well as how I didn't appreciated myself for getting a B-Grade in my Journalism and Mass communication Graduation, as well as how I didn't appreciated myself for getting a 50% in 1stSem Post Graduation in Journalism and Mass communication report card...
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Think more as wise as how I weighed my self educating process in the last 13 years
How do we make balanced/accurate estimates for the figures used in the Bayesian reasoning framework?
_sees repairman checking out my bedroom_
_slams him against the wall_
"8% chance you're gonna rob the place, huh punk?"
"but sir, I'm here to repair your bed"
"Bayes would disagree .... get out before I call the police"
That would mean there's a 92 percent chance you're just an a-hole ; )
for some reason, the 'but sir' immediately made the repairman British in my internal narrative, making your story even more absurd, thank you sir!
Odds are he either likes your house, or is shocked to disbelief at the mess!
I just read:
sees repairman checking out my bedroom
slams him against the wall
1% chance this is an adult film
Why is "Bayes would disagree" both the toughest and nerdiest line at the same time.
a similar method I've used since I read about it in childhood: when the Wright brothers were debating methodologies they'd switch positions and argue for the other idea on the table. it's also a great tool just for building empathy and considering viewpoints that you don't currently, natively inhabit.
If anyone did think that Bayes Rule *was* the be-all-and-end-all of ways of thinking, then wouldn't that mean they don't understand Bayes Rule?
Think more the hardest way as *•Seeing, •Hearing, •Touching, Smelling, •Tasting as key features of CHANEL* in David Berlo's model of Communication
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Think more the hardest way as *•Communication skills, •Attitudes, •Knowledge, •Social System, •Culture as key features of RECEIVER* in David Berlo's model of Communication
I can't believe I took so long to find this channel.
This is great, particularly the animation of updating your priors after receiving new information like in the meditation example. Most people only update their priors when they get a result that confirms their previous bias.
I reluctantly agree. And I perceive that social media, with its stovepiping algorithms, exacerbates this. One can, almost without noticing, end up in silos where there is a high degree of conformity of opinion, and where differing views are subtly, or not so subtly, marginalized.
In my own case...though I try to avoid confirmation bias, I have no doubt that I'm afflicted with it. It's easy, maybe even comforting, to be surrounded by people who agree with you, and to latch on to tidbits of info that confirm one's vested position. OTOH, when I re-think a position, based on new evidence, or even a compelling personal testimony or someone eloquently putting forth a different view, it feels liberating.
But remember, she has the scout mindset (and not the soldier mindset) !
Think more when I learnt how to be busy instead of how to be sexy
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Think more when I learnt how to be sensitive instead of how to be sensual
Think more the hardest way to fool not by the unsuccessful challengers
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Think more as wise as how I trusted my deep rooted instincts
The willingness or openness to challenge your initial impressions, and subsequently alter them, is a component of the attribute we used to call "humility". It has more to do with wanting to see things accurately, than it does with some false sense of being humble.
I have wondered what happened to Tom, he was my first friend on MySpace.
tchrisou812 oh Tom
Have you got him locked in your basement?
Tom is in the unemployment line.
He was my only friend on MySpace
Here I is
Think more as wise as possible with Computing W is for Wide Area Network...
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Think more as wise as possible with Computing X is for Xperia
Think more when I'm wise enough to stick with the last updating photos...
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Think more when I cannot be fool like I wasted my day as Social media addicters
As to the final part, "Update incrementally", it is good to keep in mind when doing so that forming a general principle based on personal exposure, even if to many adherents, is still anecdotal not empirical, and thus influenced by the persons own biases or the context of the social norms. So in Berkley, where there is a lot of new-agey sentiment there are more people who feel that meditation is beneficial and this in and of itself can increase ones own personal perception of benefits, or if formulating opinions based on informal tallies of personal interactions, lead you to think, well it must actually have positive benefits because so many of those I encounter say it does. It is much like if you went to Brigham Young you would find many more people who said that prayer caused changes in the world or if you were at a Rainbow Gathering you would find a high percentage of people who felt LSD expanded your mental abilities and capacities.
Well said! That incremental exposure to an idea is how advertising works. One would be better off to let the positive words from a respected friend lead them to research the scientific evidence of the changes that, in this case, meditation makes in the brain as shown in brain imaging/scanning..
Excellent video. Really makes the theory understandable.
Damn. You're a good teacher, I actually learned something.
Thinking, fast and slow is a book that also explains this topic well
Think more the hardest way as a person who always managed to complete the task with deadline...
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Think more the hardest way to not be fool by the delayers' tactics
This seems like a good way to justify your position while also being wrong. I like it.
Late to the party, but best comment. This is Bayesian Feelings. Even got the formula wrong.
maybe he was just nosey, it sounds like an episode of law and order
Maybe he's in the middle of designing a new house/decorating ... bottom line, assume nothing. At the same time though, trust no one ... ...
I had the same thought when she mentioned meditation. How can sitting down and doing nothing be 'fake'? More like 'I dont have what it takes to do it, so I'm gonna call it fake to convince myself it doesn't work'
Why would you like something that encourages falsity and error? Are your feelings more important than discerning the truth (which is the basis for this whole video)?
It was the 'university campus' bit that got me. If you'd said 'federal prison' it would have been perfectly obvious.
Where have you been for the last year, Julia? I love your brilliant videos.
Think more as wise with 98 minutes ago since 03:00 PM
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Think more as wise as how I stopped having evening refreshment tea and lunch at home, yet with a somehow little effort I managed to cut the grasses as I was assigned to
Good logic. I've cultivated this in myself, though I never knew a particular name for it.
Got a good chuckle out of the mathematician joke actually.
+Daniel Korolev that was good joke
Couldn't help smiling when I head the words 'Berkley' and 'snowflake' in the video. Hard to imagine extremely intelligent people becoming snowflakes. But may be there is no correlation between intelligence and wisdom.
Not saying the presenter is a snowflake. But I see a lot of young people take positions that would be considered 'progressive' in their eagerness to 'look' elite among their peers.
+B-Rad that's exactly what I am talking about - Classic elitism. I should have also added that this behavior has to do with conforming with 'views' spread by the progressives elites, so one could look like them. It is implied in my statement, but seems some people need more clarification.
Let me guess, you 'think' to care about animals & environment means to not eat them, because you have 'learned' this info from material that you read or watched on T.V or the internet. If you tell me you have a psychological problem to kill and eat another living, breathing thing, I will probably excuse you. But, the loving animals and earth etc is baloney. You just don't realize it is baloney - that's all.
If I prove to you that vegetables and plants also perceive pain..... my bad, this has already been proven. (Read about scientist Bose's work from more than a 100 years ago) Will you stop eating food altogether?
Those studies which claimed to prove that plants experience pain have been debunked. It's not true.
sez who sbunny ?
Think more the hardest way to satisfy not only at the level of how others perceived me morally...
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Think more the hardest way about how I believed in the positiveness of why I didn't have to agree with all they elaborated their point of views
Think more the hardest way no matter what, although how much time I was framed to struggle with, for the deceivers' techniques virtually for more than 1/4 portion of a day
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Think more just as wise as how I'm still proud of your body to me though how much I was being pulled to like what that distracted my focus, especially when everyone thinks they can easily ruin my weaknesses...
Don' know why this suddenly showed up in my feed, but I'm very happy it did. Very well explained!
Man I can't wait for this to be implemented in the next patch.
Think more as wise as possible after completing another meal of a day before 12:16 PM
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Think more as wise as possible the hardest way to believe not in some strange stories that anybody somehow managed to fool during lunch, breakfast, tea or dinner time
Think more the hardest way with some common backup tools available in the market such as
•Backup Home, •Auto back-up, •Taskzip, •Backup Platinum etc...
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Think more the hardest way as how several methods for data backup can be included such as Full Backup, Incremental Backup, Online Backup, Drive Imaging etc
beautifully explained. The face draws you in the mind keeps you there.
Fascinating. I think this will definitely help me with making judgments in the future.
Think more the hardest way as how the journey of Hindi Journalism began on 30 May 1826 from Calcutta with the first issue of *Uddant Martant* under the editorship of *Pandit Jugal Kishore Shukla*
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Think more the hardest way as how Jugal Kishore Shukla was known as an excellent editor and had mastery on many languages including English, Bengali, Urdu and Persian...
Think more to always go with the flow...
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Think more yet not to always be over-confident
Another important clue that Tom is a Math PhD student: He's walking. MBA students travel around campus in golf carts that they stole from the campus maintenance department.
Exactly.
Remember your priors!
remember your priors, how likely is it that a math PhD has the courage to venture outside of their room and into the savage social environment of the campus
What kind of watch is Thom wearing? Is he wearing a vintage Casio calculator watch from 1985?
Think more the hardest way as how the human emotions, ideas and thoughts are in the form of psychic image and they have to be first converted into signs capable of being articulate in the form of speech which is later encoded into different kinds of signals like radio waves or script depending upon the medium one wants to use
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Think more the hardest way as the encoding and decoding on further analysis become even more complex when the factors like individual's personal experience and the social hierarchy and sub cultures are included in the process
Great video! What is the software used to create those images?
I think people should learn Bayesian from its statistical development. Bayesian method in psychology is just scratch the surface.
Sources?
I don't know much about meditation, but as far as I do know, meditation is nothing more than you practicing to control your racing thoughts. And as we all may know, the more you practice something, the better you get at it.
@Fernando Cunha I'd actually say that it is incredibly simple once you get the hang of it. What could be simpler than winding down? I've done it for 10 years and I love it.
I'd also just say that it is more about being attentive and open to yourself than about actually wanting to controlling your thoughts, though it's true they will become calmer and more focused.
I would agree however, that without some practice in a meditation centre under a proper teacher it can be difficult to get the hang of it by yourself.
I highly recommend the books and talks (a lot of them are in youtube) by Thich Nhat Hanh (vietnamese zen master). He speaks plainly and powerfully, in a way akin to science. He likens zen theory to Lavoisier's principle of the conservation of mass. And you can feel that he is largely free from attachment and dogma.
Think more even if I had nothing in mind to say...
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Think more yet I can't be repeatedly fool like I still have times to happy with others when I'm actually not for one reason
Think the quickest intuitively way as B is for *Bind* again
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Think more the quickest intuitively way as T is for *Tied* again
Critical and analytical thinking... a virtue possesed by only a very few. It was refreshing to watch. Good to know like minded people exist.
Meditation is real, the mind is a real rabbithole. I accidently stumbled upon a type of walking meditation. It shifted my mood and how I prioritize things for a few weeks. I was very productive, the effect was acute and obviously to me had began after the meditation experience. But I was unable to reproduce it.
i believe you! ....that is because you can only move forward to the next level of meditation and can never remanufacture a previous season of it as it is a spontaneous newfound prayer which is nestled between two eternities which shall never occur again! we go from faith to faith and from glory to glory! Eventually, if one continues in meditation to its supernatural end, you graduate from meditation into contemplation, which is effortless perpetual spiritual prayer without the use of the natural carnal intellect!
@@clarkkent3730 It seems to me more of a natural thing, but to each their own.
a math professor i sort of knew meditates often
Think more the hardest way as *•Communication skills, •Attitudes, •Knowledge, •Social System, •Culture as key features of SOURCE* in David Berlo's Model of Communication (1960)
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Think more the hardest way as *•Elements, •Content, •Treatment, •Structure as key features of MESSAGE* in David Berlo's model of Communication.
Think more the hardest way to fool not by alternative secrets of the miraculous appearers
Vs
Think more as wise as how I didn't appreciate the everything comes in one tactics
In 2002, Angela Cannings of Salisbury in the UK was convicted of murder in the death of her second and third children, apparent victims of Sudden Infant Death Syndrome (SIDS). The prosecution argued that the probability of a single instance of SIDS is 0.004% and therefore probability of a second instance is so small that homicide is the only likely explanation. The conviction was overturned on appeal when a statistician testified that, while the probability of two SIDS deaths in one family was vanishingly small, the probability of two infanticides by a healthy middle-class mother was actually much smaller. This is what can happen when you don't remember your priors!
Jim McDonald that’s not what happened at all. The problem was with the assumption that sudden infant death syndrome events in a family are independent events. The expert witness in the first trial believed this. But on appeal they found a different expert witness that showed they are not independent events and that sudden infant death syndrome has been shown to be influenced by inherited genes. It wasn’t overturned because the probability was indeed vanishingly small but double infanticide less so, it’s the fact that it isn’t vanishingly small at all!
A better example is the early use of DNA evidence. Probabilities of marker matches were given as if the suspect were randomly chosen from the entire population the DNA database was based on (naive frequentist). Of course, the actual pool of plausible suspects was normally limited to people in a single community or sometimes even a single family, where the probability of sharing particular markers can be quite different. Gets even worse when talking about multiple markers and their joint probabilities. There are details I'm leaving out, but that is the very general idea.
This was all put in frequency language, but it blindingly obvious if you just use a Bayesian framing.
My PhD adviser (population genetics) actually testified in court as an expert witness against DNA evidence in some of those early cases; then turned around and testified in support of DNA evidence (including some Innocence Project stuff) once the FBI got their shit together on the statistics.
All this proves is that our society is incredibly gynocentric and women are allowed to get away with murder. The UK is known for being REALLY bad about this. I wonder what they did if she killed a 3rd later on: www.telegraph.co.uk/news/2017/05/16/oxford-student-spared-jail-extraordinary-talent/
Also, no statistician "proved" that the probability of 2 infanticides by a middle class mother is much smaller. If she kills once, she's FAR more likely to kill again than a RANDOM OTHER female member of the population. I don't believe for a MOMENT that this was legitimate math. This is gynocentrism. The pussy pass.
I would also imagine that multiple incidences of SIDS occuring in proximity wouldn't be a true statistical anomaly since the deaths could have been caused by the same factors.
This is one of those rare things which feels like a bug fix to the brain
machiavellian thinking is far superior to this crap
Rare? Mate, all I fucking do is troubleshoot this buggy piece of shit.
@@creamwobbly tomayto tomato
@@LowerYourExpectationsPleb what are you on about, those two don’t even have to exclude each other
I would assign a high probability that Tom is on the Autistic Spectrum (based on his behavior and my experience with people on the Spectrum), which would add to my confidence that he's a math student because I have noticed a high proportion of ASD persons tend to excel at math but have little interest in business.
Think more the hardest way with the same anointed computer mouse clicked hand that I communicatedly reached out to you with the flow of highly expressive commenting
Vs
Think more the hardest way when it's though for the readers to understand how I combat my normal mind