[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,The world is awash\Nwith divisive arguments, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,conflict, fake news, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,victimhood, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,exploitation, prejudice,\Nbigotry, blame, shouting, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,and minuscule attention spans. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,It can sometimes seem Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,that we are doomed to take sides, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,be stuck in echo chambers, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,and never agree again. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,It can sometimes seem\Nlike a race to the bottom, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,where everyone is calling out\Nsomebody else's privilege Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,and vying to show that they Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,are the most hard-done-by person\Nin the conversation. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,How can we make sense Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,in a world that doesn't? Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,I have a tool for understanding\Nthis confusing world of ours, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,a tool that you might not expect: Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,abstract mathematics. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,I am a pure mathematician. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,Traditionally, pure maths\Nis like the theory of maths, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,where applied maths is applied\Nto real problems like building bridges Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,and flying planes Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,and controlling traffic flow. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,But I'm going to talk about a way\Nthat pure maths applies directly Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,to our a daily lives as a way of thinking. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,I don't solve quadratic equations\Nto help me with my daily life, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,but I do use mathematical thinking\Nto help me understand arguments Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,and to empathize with other people. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,And so pure maths helps me\Nwith the entire human world. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,But before I talk about\Nthe entire human world, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,I need to talk about something\Nthat you might think of Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,as irrelevant schools maths: Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,factors of numbers. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,We're going to start by thinking\Nabout the factors of 30. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,Now, if this makes you shudder\Nwith bad memories of school maths lessons, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,I sympathize, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,because I found school\Nmaths lessons boring too. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,But I'm pretty sure we are going\Nto take this in a direction Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,that is very different\Nfrom what happened at school. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,So what are the factors of 30? Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,Maybe you can remember them.\NWe'll work them out. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,It's one, two, three, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,five, six, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,10, 15, and 30. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,It's not very interesting. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,It's a bunch of numbers\Nin a straight line. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,We can make it more interesting\Nby thinking about which of these numbers Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,are also factors of each other\Nand drawing a picture, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,a bit like a family tree Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,to show those relationships. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,So 30 is going to be at the top\Nlike a kind of great grandparent. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,Six, 10, and 15 go into 30. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,Five goes into 10 and 15. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,Two goes in six and 10. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,Three goes into six and 15. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,And one goes into two, three, and five. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,So now we see that 10\Nis not divisible by three, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,but that is this the corners of a cube, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,which is I think a bit more interesting Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,than a bunch of numbers\Nin a straight line. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,We can see something more here.\NThere's a hierarchy going on. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,At the bottom level is the number one, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,then there's the numbers\Ntwo, three, and five, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,and nothing goes into those\Nexcept one and themselves. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,You might remember\Nthis means they're prime. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,At the next level up,\Nwe have six, 10, and 15, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,and each of those is a product\Nof two prime factors. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,So six is two times three, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,10 is two times five, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,15 is three times five, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,and then at the top, we have 30, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,which is a product of three prime numbers, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,two times three times five. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,So I could redraw this diagram\Nusing those numbers instead. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,So we see that we've got\Ntwo, three, and five at the top, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,we have pairs of numbers\Nat the next level, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,and we have single elements\Nat the next level, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,and then the empty set at the bottom. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,And each of those arrows shows\Nlosing one of your numbers in the set. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,Now maybe it can be clear Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,that it doesn't really matter\Nwhat those numbers are. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,In fact it doesn't matter what they are. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,So we could replace them with\Nsomething like A, B, and C instead Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,and we get the same picture. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,So now this has become very abstract. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,The numbers have turned into letters. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,But there is a point to this abstraction, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,which is that it now suddenly\Nbecomes very widely applicable, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,because A, B, and C could be anything. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,For example, they could be\Nthree types of privilege: Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,rich, white, and male. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,So then at the next level,\Nwe have rich white people. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,Here we have rich male people. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,Here we have white male people. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,Then we have rich, white, and male. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,And finally people with\Nnone of those types of privilege. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,And I'm going to put back in\Nthe rest of the adjectives for emphasis. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,So here we have rich white\Nnon-male people, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,to remind us that there are\Nnon-binary people we need to include. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,Here we have rich non-white male people. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,Here we have non-rich white male people, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,rich non-white non-male, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,non-rich white non-male, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,and non-rich, non-white male, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,and, and at the bottom\Nwith the least privilege, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,non-rich, not-white, non-male people. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,We have gone from a diagram\Nof factors of 30 Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,to a diagram of interaction\Nof different types of privilege, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,and there are many things\Nwe can learn from this diagram, I think. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,The first is that each arrow represents\Na direct loss of one type of privilege. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,Sometimes people mistakenly think\Nthat white privilege means Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,all white people are better off\Nthan all non-white people. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,Some people point at superrich\Nblack sports stars and say, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,"See? They're really rich.\NWhite privilege doesn't exist." Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,But that's not what the theory\Nof white privilege says. Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,It says that if that superrich sports star\Nhad all the same characteristics Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,but they were also white, Dialogue: 0,9:59:59.99,9:59:59.99,Default,,0000,0000,0000,,we would expect them\Nto be better off in society.