ฝึกพูดภาษาอังกฤษด้วยเทคนิค Shadowing จากวิดีโอ: How would Alan Turing have played the Traitors?
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So you might have heard that I am part of this little TV programme called Celebrity Traitors, no big deal, but because I am a massive,
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gigantic nerd, cut me open,
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I bleed equations, I obviously wanted to approach this in the most scientific way ever.
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So before I went into the castle I spent a frankly
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ludicrous amount of time trying to come up with the most statistically perfectly perfect approach to catch me some traitors
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and um and I think I found one I think I found something really good
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so uh I thought you might like to see it
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so you can know what is going on in my head
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while I'm in the castle uh and here is what follows the mathematical way to try and catch a traitor.
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Now one science you think that you might be tempted to try is uh the sort of behavioral clues of people lying.
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This is what pop psychology tells you.
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You can spot somebody's lying if they're sweaty or their pupils are dilated, or they look up and to the left as their mouth is moving.
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Unfortunately, all of the evidence unequivocally says that you can't do it.
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The TSA, who are the people who run airport security in America,
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people whose literal job is to spot people trying to deceive them,
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they once spent hundreds of millions of dollars trying to train
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their officers to spot behavioral indicators of deception to spot lying essentially and then
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and then there came a point where they were like should
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we should we check whether any of this actually works
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so they went through and they reviewed 400 different studies over six decades
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and they found no valid scientific evidence whatsoever
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that you could reliably detect lying
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so basically they've ditched the whole thing the csa don't even bother doing
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and if the professional security officers are not using
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that tactic um well it's not going to work for me
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so i'm going to need something else there is one other
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interesting thing from a study in 2024 in korea where a group of scientists wanted to see
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if you could catch traitors based on what they said
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so not what their face was doing but their actual words
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so they recorded people playing the game mafia
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which is sort of like a dinner party version of traitors
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and they ran the transcripts through AI
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and asked it to predict who the traitors were
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and it managed to do it much better than the humans
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did it could predict the traitors 50 % more often than humans could
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and crucially the AI got better the longer the game went
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on unfortunately I think I think bringing in recording devices in an AI model into the car
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so I think that's I think that's off the off the table I don't think I think Claudia will come
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and strangle me with some leather gloves if I try and do anything like that.
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So if psychology is out and if tracking people's words is out, I'm going to need something else.
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I'm going to need another tactic to catch me some traitors.
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So before I went into the castle, I had catch up with my good friend Matt Parker while we plotted the best strategies to use.
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And the goal here is to determine who is a traitor.
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Yes, and I think that the way that people have played this in the past is they're looking for definites.
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You did this, therefore you must be a traitor.
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Right.
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And ultimately, I don't think that there are really hardly any signals that are absolutely deterministic.
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I think you are looking at indications of direction.
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Right.
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So I wanted to run the maths on the cleanest, you know, verifiable signal.
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You only want unambiguous, costly signals.
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Absolutely.
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None of this people just chatting.
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None of this human nonsense.
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Exactly, exactly like as we all aspire to you've approximated social
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interactions with numbers to a few key binary decisions that's exactly what i've done okay before we get to
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that though yes you can try and work out who is a traitor
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but another way to approach this is to think about who is not going to be a traitor
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or more accurately which combinations of people would not work together as traitors.
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So if you imagine all of the possible universes of all of the possible combinations of three traitors
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and then all I've got to do is eliminate those possibilities
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one by one by one by one to hopefully lead me to the correct three people.
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I should tell you I stole this method from Alan Turing.
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This is exactly how he approached cracking the Enigma machine.
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He started off with the list of all of the possibilities
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and then eliminated everything that wouldn't work um to sort of get him to the final answer
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and honestly if this is
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if this is good enough for alan jerry i think i
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think it's good enough for me um there's just just one
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one tiny glaring problem there's 21 people there's three traitors the
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number of possible universes is it's kind of huge it's 1330 however
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what i can say from the off is
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that i'm gonna ask to be a faithful
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so i can um i can eliminate a lot of those universes where i'm included which then gives me 1140. so
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when you start the game in front of you is a
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huge space yes of 1140 possible realities you could be living in
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and you're is is way too high to be useful
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but luckily there are some ways to bring it down quite quickly i don't think
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that claudia will pick three traders who are just all the
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same person i don't think it's going to be three male
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comedians i don't think she's going to pick three mathematicians all between 35
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and 45 years old you know i don't think she is so
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what i've done is i've gone through
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and i've worked out called it a homogeneity flag i've worked out all the universes in
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which all three traitors share similar traits
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that are too similar for them to all be picked and
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when you do that actually the number of universes come down really quickly
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if you get rid of all of the universes with three comedians
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or three actors or whatever it might be it drops down to 618.
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now we're talking that's that's much more like it
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but now here comes the big assumption because i don't think
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that three traitors will want to hang out together i don't
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think you'll see three traitors sitting next to each other at
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breakfast i don't think you'll see three traitors sitting next to each other at the round table
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and i don't think
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that you will see three traitors sitting together in the cars there might be two traitors in a car sure
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but i don't think you'll ever have three so
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if there are four people in a car i get to delete four universes
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because there's four choose three yeah those four
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so they're all gone yeah those four universes are gone cross
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them off there's five cards delete those universes um at breakfast
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there's uh these you know four people in a breakfast group
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delete those universes four at a time yeah four at a time
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and then on the round table i can basically go around
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and write right not those three those three those three those
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three those three those three those three those it's gonna be like 20 -ish of them right exactly
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so if this is what's happening on the start by day two
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this number comes down a lot
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thanks to those cars and those chance meetings but even more than
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that it starts to come down
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because people get kicked out of the game every day one person gets murdered one person gets banished
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and all their universes leave with them all of their universes leave with them
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so they start coming down coming down coming down by the very next day
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if you started on 618 you go down to 442 live universes.
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By day four you're down to 72 universes
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and it's gonna be difficult you know to say
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because sometimes people get into the same car over and over again
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but I think
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that by day five i think you'll be down to just a handful of potential universes
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so now i've got this much smaller set of groups
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which in theory i mean if this works means
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that i should be getting quite close to who the traitors are by day five um
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but remember i'm gonna i'm gonna try
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and hit this from both ends okay as well as as well as noting all of the things
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that traitors don't do and eliminating those possibilities i also want to be looking at the things
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that traitors do do here's the thing
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what you really care about is the chance
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that somebody is a traitor i mean that's that's literally the whole game right there
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and before anything happens before you get any information whatsoever you know
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that the sort of baseline chance of this is three traitors out of 21 people in total
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which is roughly 14 percent right at the beginning everyone's got
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a 14 chance of being a traitor now what you want
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to do as the game goes on as you get collectively
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more evidence is you want to update your probability of somebody being a traitor now the temptation
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when you're playing the game is whenever something happens you know someone cries at the round table
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or somebody is caught out in a lie the temptation is to say oh well you did
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that therefore you're a traitor the problem is the masters doesn't work
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that way around because for every action
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that a traitor might do there is a chance
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that a faithful might do it as well can i give
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you an example yes please of the messiness of faithfuls
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so um i've called them burn votes so i've noticed this tendency of traitors to throw a vote, essentially.
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When they're in the first three, four episodes, when they're feeling really anxious, they will just pick somebody, anybody, just pick.
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Because they don't want to go with the majority.
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They don't want to start their own thing.
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They don't really know what to do.
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They don't want to bring anyone with them.
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They don't want to bring anyone with them, so they throw a burn vote.
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So if you look in the first three
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or four episodes at who has voted for somebody that nobody else has voted for, you will often find a traitor hiding there.
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Or let me do it the other way around.
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The traitors are always hiding in that group.
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The problem is, is it's not a deterministic signal because the faithfuls are also just all over.
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Also spraying boats everywhere.
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Yeah, right.
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Exactly.
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So there is no way to statistically find anything that is definitely pointing towards a traitor.
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Instead, you're looking for these traitor -ish signals. And given
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that there are way more faithfuls than there are traitors in
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the game i need to work out just how suspicious a particular behavior actually is
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and the goal is to pin down as many actions as i can
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that are more likely to come from a traitor than from
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a faithful this by the way also absolutely ripped off from alan turing he knew
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that that humans were operating this enigma machine and he knew
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that humans are an absolute sloppy mess
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so uh bletchley he kept a library of two million cards of everything
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that happened up until that point which they then used to predict likely new messages
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so what i'm going to need i'm going to need a
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version of my own library here i'm going to need a
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database of how humans have previously behaved during games of traitors
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oh i've been doing some work now i've been doing things okay
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so first of all what i did is i went
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and uh collected all of the data from the previous british shows shows plural shows plural
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so yeah i um i went back through every single previous
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episode of uh the uk version of the traitors civilian
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and celebrity and uh
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and i took took a lot of notes insane amount of
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notes frankly i fast forwarded through all the the wishy -washy chats
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and the challenges and just logged every choice and action um
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that counted as hard evidence
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so you know we're talking votes we're talking seating patterns we're
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talking where people are sitting in the car we're talking round tables we're talking you know all of the stuff
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that counts as hard evidence
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and i created this absolute beauty of a spreadsheet i know
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you sent me the csv file yeah you logged everything yeah oh it's
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so good and then i crunched all the numbers to see
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if there were you know if any of it would be any use to see
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if there were statistically significant patterns in the way that traitors behaved
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and it turns out there was some absolute gems in there um don't like to brag you guys
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but my burn vote theory was uh came out pretty strong
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went through all of the first three round tables for every single one of the uk series
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that had already existed in total those first three three round tables there were 205 votes
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that were made 34 of from traitors 171 of them from faithful
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and 33 of them were burn votes eight of those came from traitors
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and 25 of them came from faithful
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which kind of shows you the problem right the traitors are doing something
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that is deeply suspicious but the faithful are such an absolute mess
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that you can't spot that signal very clearly however because there are
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so many more faithful than there are traitors as a percentage this was eight out of 34 votes
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which is 23 .5 percent which means
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that a quarter of traitors are making a burn vote in
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the first three round tables right that's that's a massive signal
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there the faithful on the other hand this 25 was out of 171
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which is 14 .6 so this is like this is the extent of the signals
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that you're getting one in four traitors are going to make a burn vote
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and only one in seven of the faithful are going to do it and in In fact, on these two, if you do the ratio of those two,
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23 .5 over 14 .6, give you 1 .6.
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That number essentially tells you how strong this is as a signal.
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If it's really, really close to 1, then it's as likely to have come from a traitor as it's from a faithful.
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It doesn't give you any information.
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If this number starts getting really small, like 0 .0 or whatever, then it's much more likely to have come from a faithful than a traitor
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and it's a really good indication that you've got somebody in front of you that you can trust.
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But the bigger this number gets, the more likely it is that you are standing in front of a traitor.
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So here is the idea to find these numbers.
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You go back through the data of everything that has happened in previous series.
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You think of everything that might be even remotely traitorous and you calculate this number for that action.
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Some of my ideas for things that might be signals, unfortunately, turned out to be worthless because, and I'll say this again, the faithful are a complete mess.
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Maybe the traitors are voting in the majority, no more than the faithful, that one doesn't work.
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Maybe they're changing their vote between rounds more often, no more than the faithful, because faithful are all over the place.
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Maybe they're voting in pairs with another player, no more than the faithful, the faithful are like sheep themselves.
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But I did find a few that looked genuinely useful.
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And then I hit another problem.
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Now, keeping track of it I mean yeah it's gonna be
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let's talk logistics yes are you allowed to walk around with
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a notebook like what's your here's the problem I can't bring
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in a phone laptop even a calculator to the castle
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so how on earth am I gonna manage to calculate these probabilities as I go I can't do
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that mass in my head you guys mathematicians not good at mental arithmetic
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so i'm going to need a shortcut
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but luckily i can steal from turing again
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because he had the same problem at bletchley um turing didn't have modern computers
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because well he hadn't invented them yet um and
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so he came up with this way to turn all of
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these really complicated probabilities into basically a point scoring system uh it's very mathematically rigorous
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and it's just um it requires no more than just adding things up as you go
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so obviously i stole the same trick you're not just picking
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these points from random you are calculating them precisely based on
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the historical data thank you very much alan turing um
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so here are the points as i work them out from the data
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uh right one if somebody makes a burn vote that earns them plus 0 .47 points
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doesn't sound that much but you're looking at tiny little signals here but one of the strongest moments, one of the moments where you get the most information is when the faithfuls manage to catch a traitor,
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because that reveals not just a really strong signal about the person who's got a traitor, but it also reveals stuff about everybody else who's sitting around the table.
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Shall I show you what I'm about?
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Do the traitors who are sitting around the table, who are safe that night, do they pile on?
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And the answer is absolutely yes they do.
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If somebody votes for a traitor on the night
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that a traitor goes down that gets them plus 0 .33 points
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and the even stronger signal is do they pile on despite having never voted for
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that traitor before great absolutely they get plus 0 .4 points
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now here's the thing right your traitors are going to be hiding in
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that group but the problem is that there's loads of faithful hiding in
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that group as well which makes it really hard to spot them okay
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so these are all the really strong traitor signals
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but it turns out
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when you look at the data the strongest signals of all are in the opposite direction towards people being faithful
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so you can account for that by taking points away
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when a traitor goes down yep
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if you look at the people who did not pile on they are faithful
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if the traitor is definitely going down everyone's voting for them
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only the faithful are stupid enough to stick their head above the parapet
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and say that they're still innocent so you get minus 1 .28 points
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if you do not vote for a traitor as they are banished next up
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if a traitor is banished and you look back at who they voted for historically
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if somebody's name appears on that list that is a really good signal that they are faithful.
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So you get minus 1 .69.
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What a whopper.
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The biggest one of all is actually one that the internet sort of found.
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In the early versions of the show people noticed that the last group in for breakfast were always faithful.
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So production started chucking in the occasional traitor in the last
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group for breakfast however they only ever chuck in one so
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if you were in the last group for breakfast with somebody who is then revealed to be a traitor
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that is the strongest possible signal that you are a faithful look it gets convoluted i'm not not lying
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that is minus 1 .73
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so it's not much to go on but it's something so here is my idea going in i have everybody's names
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hidden away somewhere as the game goes on
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and i keep this running tally of how many points everybody has
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and the people who have a bigger number are more likely to be a traitor
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and those have got a smaller number are more likely to be a faithful
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and then all you've got to do is you've got to combine those numbers with the potential universes
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that you've been going through and eliminating
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and hopefully the traitor identities are going to reveal themselves um that's at least in theory,
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although you've got to add to that fact
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that I've got to sort of convince people
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that I've worked all of this out without looking so suspicious that they either banished me or murdered me.
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This is going to be quite a difficult ask.
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This could be the most embarrassing, humbling experience.
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I could be murdered within four minutes.
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Do you know how many clothes I've packed?
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Oh my god.
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So here is hoping that all of this work wasn't in vain
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and you know stuff works out for me as well as
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it did for uh you know the enigma machine with turing um
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although i admit this one does have a slightly smaller global impact all right
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if that's the plan i also want to crunch these numbers
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as we go through the show i'm going to be doing it live in the castle i need someone
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who can run them alongside it.
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You called?
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I'm so excited.
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So once it's all finished, you can go to Matt's channel where he's going to run the numbers and see whether it actually worked or not.
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And you can also watch the series itself where you can see me trying to do this in real time.
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I can't wait.
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Yeah.
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And I will report back with how well it went.
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I believe in you.
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Okay.
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I'm down.
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I'll be honest.
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Thank you.
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คุณกำลังฝึกภาษาอังกฤษกับ "How would Alan Turing have played the Traitors?" ด้วยเทคนิค Shadowing — วิธีที่พัฒนาขึ้นสำหรับการฝึกนักแปลมืออาชีพ
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