TEDxLondon
Eugenia Cheng: An unexpected tool for understanding inequality: abstract math
Judžinija Čeng (Eugenia Cheng): Neočekivano sredstvo za razumevanje nejednakosti - apstraktna matematika
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Kako da nađemo smisao u svetu koji nema smisla? Tražeći na neočekivanim mestima, kaže matematičarka Judžinija Čeng. Ona objašnjava kako nas primena koncepata iz apstraktne matematike u svakodnevnom životu može dovesti do dubljeg razumevanja stvari poput uzroka besa i funkcije privilegija. Saznajte više o tome kako nam ovo iznenađujuće sredstvo može pomoći da saosećamo jedni sa drugima.
Eugenia Cheng - Mathematician, pianist
Eugenia Cheng devotes her life to mathematics, the piano and helping people. Full bio
Eugenia Cheng devotes her life to mathematics, the piano and helping people. Full bio
Double-click the English transcript below to play the video.
00:13
The world is awash
with divisive arguments,
with divisive arguments,
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Svet je prepun razdornih rasprava,
00:18
conflict,
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konflikata,
00:20
fake news,
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lažnih vesti,
00:22
victimhood,
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žrtava,
00:25
exploitation, prejudice,
bigotry, blame, shouting
bigotry, blame, shouting
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iskorišćavanja, predrasuda,
netrpeljivosti, okrivljavanja, vikanja
netrpeljivosti, okrivljavanja, vikanja
00:30
and minuscule attention spans.
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i suženog opsega pažnje.
00:34
It can sometimes seem
that we are doomed to take sides,
that we are doomed to take sides,
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Ponekad se čini da smo osuđeni
da zauzimamo stranu,
da zauzimamo stranu,
00:40
be stuck in echo chambers
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da budemo zaglavljeni u eho-komorama
00:42
and never agree again.
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i da se nikada više ne složimo.
00:45
It can sometimes seem
like a race to the bottom,
like a race to the bottom,
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Ponekad se može činiti kao trka do dna,
00:48
where everyone is calling out
somebody else's privilege
somebody else's privilege
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gde svi prozivaju nekog zbog privilegija
00:52
and vying to show that they
are the most hard-done-by person
are the most hard-done-by person
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i nadmeću se da pokažu
da su prošli najgori tretman
da su prošli najgori tretman
00:57
in the conversation.
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od svih uključenih u razgovor.
01:01
How can we make sense
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Kako da nađemo smisao
01:02
in a world that doesn't?
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u svetu koji nema smisla?
01:07
I have a tool for understanding
this confusing world of ours,
this confusing world of ours,
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Imam sredstvo za razumevanje
ovog našeg zbunjujućeg sveta,
ovog našeg zbunjujućeg sveta,
01:12
a tool that you might not expect:
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sredstvo koje možda niste očekivali:
01:16
abstract mathematics.
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apstraktnu matematiku.
01:19
I am a pure mathematician.
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Ja sam čisti matematičar.
01:22
Traditionally, pure maths
is like the theory of maths,
is like the theory of maths,
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Tradicionalno, čista matematika
je kao teorija matematike,
je kao teorija matematike,
01:26
where applied maths is applied
to real problems like building bridges
to real problems like building bridges
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gde se primenjena matematika
upotrebljava za stvarne probleme
upotrebljava za stvarne probleme
poput izgradnje mostova, letova aviona
01:31
and flying planes
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01:32
and controlling traffic flow.
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i kontrole protoka saobraćaja.
01:35
But I'm going to talk about a way
that pure maths applies directly
that pure maths applies directly
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Ali ja ću govoriti o načinu
na koji se čista matematika
na koji se čista matematika
direktno primenjuje
u našem svakodnevnom životu
u našem svakodnevnom životu
01:40
to our daily lives
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01:42
as a way of thinking.
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kao način razmišljanja.
01:44
I don't solve quadratic equations
to help me with my daily life,
to help me with my daily life,
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Ne rešavam kvadratne jednačine
da mi pomognu u svakodnevnom životu,
da mi pomognu u svakodnevnom životu,
01:49
but I do use mathematical thinking
to help me understand arguments
to help me understand arguments
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ali koristim matematičko razmišljanje
da bi mi pomoglo da razumem argumente
da bi mi pomoglo da razumem argumente
01:54
and to empathize with other people.
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i da saosećam sa drugima.
01:57
And so pure maths helps me
with the entire human world.
with the entire human world.
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Tako mi čista matematika pomaže
sa čitavim svetom ljudi.
sa čitavim svetom ljudi.
02:04
But before I talk about
the entire human world,
the entire human world,
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Ali, pre nego što počnem da govorim
o čitavom svetu ljudi,
o čitavom svetu ljudi,
02:07
I need to talk about something
that you might think of
that you might think of
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moram da govorim
o nečemu što možda smatrate
o nečemu što možda smatrate
02:10
as irrelevant schools maths:
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nevažnom školskom matematikom:
02:13
factors of numbers.
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o činiocima brojeva.
02:16
We're going to start
by thinking about the factors of 30.
by thinking about the factors of 30.
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Počećemo razmatranjem činilaca broja 30.
02:19
Now, if this makes you shudder
with bad memories of school maths lessons,
with bad memories of school maths lessons,
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Ako vas ovo tera da se naježite
zbog loših sećanja
na časove matematike u školi,
na časove matematike u školi,
02:24
I sympathize, because I found
school maths lessons boring, too.
school maths lessons boring, too.
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saosećam sa vama, jer sam i ja mislila
da su časovi matematike dosadni.
da su časovi matematike dosadni.
02:29
But I'm pretty sure we are going
to take this in a direction
to take this in a direction
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Ali prilično sam sigurna
da ćemo sa ovim otići u pravcu
da ćemo sa ovim otići u pravcu
02:33
that is very different
from what happened at school.
from what happened at school.
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koji se vrlo razlikuje
od onog što se odvijalo u školi.
od onog što se odvijalo u školi.
02:37
So what are the factors of 30?
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Dakle, koji su činioci broja 30?
02:39
Well, they're the numbers that go into 30.
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Pa, to su brojevi
kojima je broj 30 deljiv.
kojima je broj 30 deljiv.
02:42
Maybe you can remember them.
We'll work them out.
We'll work them out.
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Možda možete da se setite. Navešćemo ih.
To su jedan, dva, tri,
02:45
It's one, two, three,
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02:48
five, six,
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pet, šest,
02:51
10, 15 and 30.
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10, 15 i 30.
02:53
It's not very interesting.
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To baš i nije zanimljivo.
To je gomila brojeva na pravoj liniji.
02:55
It's a bunch of numbers
in a straight line.
in a straight line.
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Možemo da ovo učinimo zanimjivijim
02:58
We can make it more interesting
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03:00
by thinking about which of these numbers
are also factors of each other
are also factors of each other
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ako razmislimo koji od ovih brojeva
su takođe činioci jedni drugima
su takođe činioci jedni drugima
i tako što ćemo nacrtati sliku,
nalik porodičnom stablu,
nalik porodičnom stablu,
03:04
and drawing a picture,
a bit like a family tree,
a bit like a family tree,
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03:06
to show those relationships.
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da bismo prikazali te odnose.
03:08
So 30 is going to be at the top
like a kind of great-grandparent.
like a kind of great-grandparent.
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Dakle, broj 30 će biti na vrhu
kao neki pradeda.
kao neki pradeda.
03:12
Six, 10 and 15 go into 30.
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Brojevi 6, 10 i 15 su delitelji broja 30.
03:15
Five goes into 10 and 15.
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Broj 5 je delitelj brojeva 10 i 15.
03:18
Two goes into six and 10.
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Brojem 2 su deljivi brojevi 6 i 10.
03:21
Three goes into six and 15.
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Broj 3 je delitelj brojeva 6 i 15.
03:24
And one goes into two, three and five.
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A brojem jedan možemo podeliti
brojeve dva, tri i pet.
brojeve dva, tri i pet.
03:29
So now we see that 10
is not divisible by three,
is not divisible by three,
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Sada vidimo da broj 10
nije deljiv brojem 3,
nije deljiv brojem 3,
03:32
but that this is the corners of a cube,
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ali to su temena kocke,
03:36
which is, I think, a bit more interesting
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što je, rekla bih, malo zanimljivije
od gomile brojeva na pravoj liniji.
od gomile brojeva na pravoj liniji.
03:38
than a bunch of numbers
in a straight line.
in a straight line.
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03:41
We can see something more here.
There's a hierarchy going on.
There's a hierarchy going on.
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Ovde možemo videti nešto više.
Postoji hijerarhija.
Postoji hijerarhija.
Na donjem nivou je broj jedan,
03:44
At the bottom level is the number one,
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zatim su tu brojevi dva, tri i pet,
03:46
then there's the numbers
two, three and five,
two, three and five,
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a oni nisu deljivi nijednim brojem
osim broja jedan i samim sobom.
osim broja jedan i samim sobom.
03:48
and nothing goes into those
except one and themselves.
except one and themselves.
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03:51
You might remember
this means they're prime.
this means they're prime.
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Možda se sećate da to znači
da su prosti brojevi.
da su prosti brojevi.
03:54
At the next level up,
we have six, 10 and 15,
we have six, 10 and 15,
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Na sledećem nivou imamo 6, 10 i 15,
03:57
and each of those is a product
of two prime factors.
of two prime factors.
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a svaki od njih je proizvod
dva prosta činioca.
dva prosta činioca.
04:00
So six is two times three,
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Dakle, šest je dva puta tri,
04:02
10 is two times five,
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deset je dva puta pet,
04:04
15 is three times five.
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petnaest je tri puta pet.
04:06
And then at the top, we have 30,
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A potom na vrhu imamo 30,
04:08
which is a product
of three prime numbers --
of three prime numbers --
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koji je proizvod tri prosta činioca -
04:10
two times three times five.
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dva puta tri puta pet.
04:12
So I could redraw this diagram
using those numbers instead.
using those numbers instead.
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Tako mogu da ponovo nacrtam
ovaj dijagram koristeći ove brojeve.
ovaj dijagram koristeći ove brojeve.
04:18
We see that we've got
two, three and five at the top,
two, three and five at the top,
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Vidimo da imamo brojeve
dva, tri i pet na vrhu,
dva, tri i pet na vrhu,
04:21
we have pairs of numbers
at the next level,
at the next level,
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imamo parove brojeva na sledećem nivou,
04:24
and we have single elements
at the next level
at the next level
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imamo pojedinačne elemente
na sledećem nivou
na sledećem nivou
04:26
and then the empty set at the bottom.
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i zatim prazan prostor na dnu.
04:29
And each of those arrows shows
losing one of your numbers in the set.
losing one of your numbers in the set.
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Svaka od ovih strelica
pokazuje gubitak jednog broja u skupu.
pokazuje gubitak jednog broja u skupu.
04:34
Now maybe it can be clear
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Možda će biti jasno
04:37
that it doesn't really matter
what those numbers are.
what those numbers are.
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da nije bitno koji su to brojevi.
04:40
In fact, it doesn't matter what they are.
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Zapravo, nije bitno koji su.
04:42
So we could replace them with
something like A, B and C instead,
something like A, B and C instead,
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Zato ih možemo zameniti,
recimo, sa A, B i C,
recimo, sa A, B i C,
04:46
and we get the same picture.
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i dobijamo istu sliku.
04:49
So now this has become very abstract.
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Ovo je sad postalo vrlo apstraktno.
04:51
The numbers have turned into letters.
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Brojevi su se pretvorili u slova.
04:54
But there is a point to this abstraction,
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Ali, ova apstrakcija ima poentu,
04:57
which is that it now suddenly
becomes very widely applicable,
becomes very widely applicable,
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a to je da sada odjednom ovo postaje
vrlo široko primenjivo,
vrlo široko primenjivo,
05:02
because A, B and C could be anything.
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jer A, B i C mogu biti bilo šta.
05:06
For example, they could be
three types of privilege:
three types of privilege:
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Na primer, mogu biti
tri vrste privilegija:
tri vrste privilegija:
05:10
rich, white and male.
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biti bogat, belac i muškarac.
05:14
So then at the next level,
we have rich white people.
we have rich white people.
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Onda na sledećem nivou imamo bogate belce.
05:18
Here we have rich male people.
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Ovde imamo bogate muškarce.
05:20
Here we have white male people.
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Ovde imamo bele muškarce.
05:22
Then we have rich, white and male.
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Onda imamo bogate, belce i muškarce.
05:27
And finally, people with none
of those types of privilege.
of those types of privilege.
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I najzad, ljude bez ijedne
od tih privilegija.
od tih privilegija.
05:30
And I'm going to put back in
the rest of the adjectives for emphasis.
the rest of the adjectives for emphasis.
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Ubaciću i ostatak prideva
radi naglašavanja.
radi naglašavanja.
Dakle, ovde imamo bogate belce
koji nisu muškarci,
koji nisu muškarci,
05:33
So here we have rich, white
non-male people,
non-male people,
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05:36
to remind us that there are
nonbinary people we need to include.
nonbinary people we need to include.
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da nas podseti da postoje nebinarni ljudi
koje moramo uključiti.
koje moramo uključiti.
05:39
Here we have rich, nonwhite male people.
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Ovde imamo bogate muškarce
koji nisu bele rase.
koji nisu bele rase.
05:42
Here we have non-rich, white male people,
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Ovde imamo bele muškarce koji nisu bogati,
05:45
rich, nonwhite, non-male,
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one koji su bogati
a nisu belci ni muškarci,
a nisu belci ni muškarci,
05:48
non-rich, white, non-male
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one koji nisu bogati,
belci su i nisu muškarci
belci su i nisu muškarci
05:51
and non-rich, nonwhite, male.
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i one koji nisu bogati ni belci,
a muškog su pola.
a muškog su pola.
05:53
And at the bottom,
with the least privilege,
with the least privilege,
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I na kraju, sa najmanje privilegija,
05:55
non-rich, nonwhite, non-male people.
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su ljudi koji nisu bogati,
nisu belci i nisu muškarci.
nisu belci i nisu muškarci.
05:59
We have gone from a diagram
of factors of 30
of factors of 30
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Prešli smo sa dijagrama činilaca broja 30
06:03
to a diagram of interaction
of different types of privilege.
of different types of privilege.
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na dijagram interakcija
različitih vrsta privilegija.
različitih vrsta privilegija.
06:08
And there are many things
we can learn from this diagram, I think.
we can learn from this diagram, I think.
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Postoji mnogo stvari koje možemo naučiti
sa ovog dijagrama, rekla bih.
sa ovog dijagrama, rekla bih.
06:11
The first is that each arrow represents
a direct loss of one type of privilege.
a direct loss of one type of privilege.
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Prva je da svaka strelica predstavlja
direktan gubitak jedne vrste privilegija.
direktan gubitak jedne vrste privilegija.
06:19
Sometimes people mistakenly think
that white privilege means
that white privilege means
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Ponekad ljudi pogrešno misle
da privilegije belaca podrazumevaju
da privilegije belaca podrazumevaju
06:23
all white people are better off
than all nonwhite people.
than all nonwhite people.
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da svi belci bolje prolaze
od svih koji nisu belci.
od svih koji nisu belci.
06:28
Some people point at superrich
black sports stars and say,
black sports stars and say,
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Neki ljudi ukazuju na sportske zvezde
koji su veoma bogati crnci i kažu:
koji su veoma bogati crnci i kažu:
06:32
"See? They're really rich.
White privilege doesn't exist."
White privilege doesn't exist."
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„Vidite? Oni su baš bogati.
Belačke privilegije ne postoje.“
Belačke privilegije ne postoje.“
06:36
But that's not what the theory
of white privilege says.
of white privilege says.
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Ali to nije ono o čemu govori
teorija o privilegijama belaca.
teorija o privilegijama belaca.
06:39
It says that if that superrich sports star
had all the same characteristics
had all the same characteristics
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Ona kaže da, kada bi ta prebogata
sportska zvezda imala iste osobine,
sportska zvezda imala iste osobine,
06:44
but they were also white,
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ali takođe bila i bele rase,
06:45
we would expect them
to be better off in society.
to be better off in society.
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očekivali bismo da će imati
bolji položaj u društvu.
bolji položaj u društvu.
06:51
There is something else
we can understand from this diagram
we can understand from this diagram
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Postoji još nešto što možemo
uvideti sa ovog dijagrama
uvideti sa ovog dijagrama
06:54
if we look along a row.
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ako pogledamo duž jednog reda.
06:56
If we look along the second-to-top row,
where people have two types of privilege,
where people have two types of privilege,
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Ako pogledamo drugi red odozgo,
gde ljudi imaju dve vrste privilegija,
gde ljudi imaju dve vrste privilegija,
07:00
we might be able to see
that they're not all particularly equal.
that they're not all particularly equal.
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možda ćemo moći da vidimo
da nisu svi naročito jednaki.
da nisu svi naročito jednaki.
07:04
For example, rich white women
are probably much better off in society
are probably much better off in society
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Na primer, bogate žene bele rase
verovatno mnogo bolje prolaze u društvu
verovatno mnogo bolje prolaze u društvu
07:10
than poor white men,
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nego siromašni beli muškarci,
07:12
and rich black men are probably
somewhere in between.
somewhere in between.
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a bogati muškarci crne rase
su verovatno negde između,
su verovatno negde između,
07:15
So it's really more skewed like this,
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tako da je u stvari više nakrivljen ovako,
07:18
and the same on the bottom level.
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a isto je i na donjem nivou.
07:20
But we can actually take it further
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Ali zapravo možemo ići i dalje
07:23
and look at the interactions
between those two middle levels.
between those two middle levels.
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i pogledati interakcije
između ta dva srednja nivoa.
između ta dva srednja nivoa.
07:27
Because rich, nonwhite non-men
might well be better off in society
might well be better off in society
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Jer bogatim ljudima koji nisu belci
i nisu muškarci možda bolje ide u društvu
i nisu muškarci možda bolje ide u društvu
07:33
than poor white men.
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nego siromašnim belim muškarcima.
07:35
Think about some extreme
examples, like Michelle Obama,
examples, like Michelle Obama,
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Pomislite na ekstremne primere
kao što su Mišel Obama
kao što su Mišel Obama
07:39
Oprah Winfrey.
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i Opra Vinfri.
07:40
They're definitely better off
than poor, white, unemployed homeless men.
than poor, white, unemployed homeless men.
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Definitivno su u boljoj situaciji
nego siromašni, beli,
nezaposleni muškarci beskućnici,
nezaposleni muškarci beskućnici,
07:46
So actually, the diagram
is more skewed like this.
is more skewed like this.
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tako da je u stvari dijagram
više iskrivljen ovako.
više iskrivljen ovako.
07:49
And that tension exists
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A ta napetost postoji
07:52
between the layers
of privilege in the diagram
of privilege in the diagram
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između slojeva privilegija na dijagramu
07:55
and the absolute privilege
that people experience in society.
that people experience in society.
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i apsolutnih privilegija
koje ljudi doživljavaju u društvu.
koje ljudi doživljavaju u društvu.
07:59
And this has helped me to understand
why some poor white men
why some poor white men
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Ovo mi je pomoglo da razumem
zašto su neki siromašni beli muškarci
zašto su neki siromašni beli muškarci
08:02
are so angry in society at the moment.
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trenutno toliko ljuti u društvu.
08:06
Because they are considered to be high up
in this cuboid of privilege,
in this cuboid of privilege,
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Zato što se smatra da se nalaze visoko
u ovom kvadru privilegija,
u ovom kvadru privilegija,
08:10
but in terms of absolute privilege,
they don't actually feel the effect of it.
they don't actually feel the effect of it.
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ali u smislu apsolutnih privilegija
zapravo ne osećaju efekat toga.
zapravo ne osećaju efekat toga.
08:15
And I believe that understanding
the root of that anger
the root of that anger
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Smatram da je razumevanje
izvora tog besa mnogo produktivnije
izvora tog besa mnogo produktivnije
08:19
is much more productive
than just being angry at them in return.
than just being angry at them in return.
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nego prosto zauzvrat se ljutiti na njih.
08:25
Seeing these abstract structures
can also help us switch contexts
can also help us switch contexts
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Sagledavanje ovih apstraktnih struktura
nam može pomoći i da promenimo kontekst
nam može pomoći i da promenimo kontekst
08:29
and see that different people
are at the top in different contexts.
are at the top in different contexts.
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i vidimo da su različiti ljudi
na vrhu u različitim kontekstima.
na vrhu u različitim kontekstima.
08:33
In our original diagram,
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Na našem prvobitnom dijagramu,
08:35
rich white men were at the top,
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bogati beli muškarci su bili na vrhu,
08:37
but if we restricted
our attention to non-men,
our attention to non-men,
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ali ako bismo ograničili pažnju
na one koji nisu muškarci,
na one koji nisu muškarci,
08:41
we would see that they are here,
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videli bismo da su ovde,
i sada su na vrhu bogati ljudi
koji su beli i nisu muškarci.
koji su beli i nisu muškarci.
08:42
and now the rich, white
non-men are at the top.
non-men are at the top.
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08:45
So we could move to
a whole context of women,
a whole context of women,
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Možemo preći na čitav kontekst žena,
08:48
and our three types of privilege
could now be rich, white and cisgendered.
could now be rich, white and cisgendered.
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i naše tri vrste privilegija
sada mogu biti bogati, beli i cisrodni.
sada mogu biti bogati, beli i cisrodni.
08:53
Remember that "cisgendered" means
that your gender identity does match
that your gender identity does match
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Upamtite da „cisrodni“ znači
da se vaš rodni identitet poklapa
da se vaš rodni identitet poklapa
08:57
the gender you were assigned at birth.
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sa rodom koji vam je dodeljen pri rođenju.
09:00
So now we see that rich, white cis women
occupy the analogous situation
occupy the analogous situation
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Sada vidimo da bogate i bele cis žene
zauzimaju sličnu situaciju
zauzimaju sličnu situaciju
09:06
that rich white men did
in broader society.
in broader society.
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kao i bogati beli muškarci
u širem društvu.
u širem društvu.
09:09
And this has helped me understand
why there is so much anger
why there is so much anger
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Ovo mi je pomoglo da razumem
zašto je toliko besa usmereno
zašto je toliko besa usmereno
09:12
towards rich white women,
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prema bogatim ženama bele rase,
09:14
especially in some parts
of the feminist movement at the moment,
of the feminist movement at the moment,
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naročito u nekim delovima
feminističkog pokreta trenutno,
feminističkog pokreta trenutno,
09:17
because perhaps they're prone
to seeing themselves as underprivileged
to seeing themselves as underprivileged
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jer su možda sklone
da sebe vide kao manje privilegovane
da sebe vide kao manje privilegovane
09:21
relative to white men,
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u odnosu na bele muškarce
09:23
and they forget how overprivileged
they are relative to nonwhite women.
they are relative to nonwhite women.
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i zaborave koliko su više privilegovane
u odnosu na žene koje nisu bele rase.
u odnosu na žene koje nisu bele rase.
09:30
We can all use these abstract structures
to help us pivot between situations
to help us pivot between situations
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Svi mi možemo koristiti
ove apstraktne strukture
ove apstraktne strukture
da nam pomognu da razlikujemo situacije
u kojima smo više ili manje privilegovani.
09:36
in which we are more privileged
and less privileged.
and less privileged.
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09:38
We are all more privileged than somebody
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Svi mi smo više privilegovani od nekoga
09:41
and less privileged than somebody else.
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i manje privilegovani od nekog drugog.
09:44
For example, I know and I feel
that as an Asian person,
that as an Asian person,
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Na primer, znam i osećam da sam,
kao osoba azijskog porekla,
kao osoba azijskog porekla,
09:49
I am less privileged than white people
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manje privilegovana od ljudi bele rase
09:52
because of white privilege.
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zbog privilegija belaca.
09:53
But I also understand
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Ali takođe shvatam
09:55
that I am probably among
the most privileged of nonwhite people,
the most privileged of nonwhite people,
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da sam verovatno među najprivilegovanijima
u grupi ljudi koji nisu belci,
u grupi ljudi koji nisu belci,
09:59
and this helps me pivot
between those two contexts.
between those two contexts.
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a to mi pomaže da se orijentišem
između ta dva konteksta.
između ta dva konteksta.
10:03
And in terms of wealth,
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A u pogledu bogatstva,
10:05
I don't think I'm super rich.
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mislim da nisam mnogo bogata.
10:07
I'm not as rich as the kind of people
who don't have to work.
who don't have to work.
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Nisam bogata kao ljudi
koji ne moraju da rade.
koji ne moraju da rade.
10:10
But I am doing fine,
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Ali mi dobro ide,
10:11
and that's a much better
situation to be in
situation to be in
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i to je mnogo bolja situacija
10:13
than people who are really struggling,
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u odnosu na ljude koji se baš muče,
10:15
maybe are unemployed
or working at minimum wage.
or working at minimum wage.
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koji su možda nezaposleni
ili rade za minimalnu platu.
ili rade za minimalnu platu.
10:20
I perform these pivots in my head
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Vršim te preokrete u svojoj glavi
10:24
to help me understand experiences
from other people's points of view,
from other people's points of view,
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da bi mi pomogli da razumem iskustva
sa stanovišta drugih ljudi,
sa stanovišta drugih ljudi,
10:30
which brings me to this
possibly surprising conclusion:
possibly surprising conclusion:
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što me dovodi do možda
iznenađujućeg zaključka,
iznenađujućeg zaključka,
10:35
that abstract mathematics
is highly relevant to our daily lives
is highly relevant to our daily lives
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da je apstraktna matematika
izuzetno značajna za naš svakodnevni život
izuzetno značajna za naš svakodnevni život
10:42
and can even help us to understand
and empathize with other people.
and empathize with other people.
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i da nam čak može pomoći
da razumemo druge i saosećamo sa njima.
da razumemo druge i saosećamo sa njima.
10:50
My wish is that everybody would try
to understand other people more
to understand other people more
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Moja želja je da svi pokušaju
da bolje razumeju druge ljude
da bolje razumeju druge ljude
10:56
and work with them together,
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i sarađuju sa njma
10:58
rather than competing with them
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umesto da se nadmeću
11:00
and trying to show that they're wrong.
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i pokušavaju da pokažu da nisu u pravu.
11:04
And I believe that abstract
mathematical thinking
mathematical thinking
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Verujem da nam apstraktno
matematičko razmišljanje
matematičko razmišljanje
11:08
can help us achieve that.
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može pomoći da to postignemo.
11:12
Thank you.
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Hvala.
11:13
(Applause)
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(Aplauz)
ABOUT THE SPEAKER
Eugenia Cheng - Mathematician, pianistEugenia Cheng devotes her life to mathematics, the piano and helping people.
Why you should listen
Dr. Eugenia Cheng quit her tenured academic job for a portfolio career as a research mathematician, educator, author, columnist, public speaker, artist and pianist. Her aim is to rid the world of math phobia and develop, demonstrate and advocate for the role of mathematics in addressing issues of social justice.
Her first popular math book, How to Bake Pi, was published by Basic Books in 2015 to widespread acclaim including from the New York Times, National Geographic, Scientific American, and she was interviewed around the world including on the BBC, NPR and The Late Show with Stephen Colbert. Her second book, Beyond Infinity was published in 2017 and was shortlisted for the Royal Society Insight Investment ScienceBook Prize. Her most recent book, The Art of Logic in an Illogical World, was published in 2018 and was praised in the Guardian.
Cheng was an early pioneer of math on YouTube, and her most viewed video, about math and bagels, has been viewed more than 18 million times to date. She has also assisted with mathematics in elementary schools and high schools for 20 years. Cheng writes the "Everyday Math" column for the Wall Street Journal, is a concert pianist and founded the Liederstube, a not-for-profit organization in Chicago bringing classical music to a wider audience. In 2017 she completed her first mathematical art commission, for Hotel EMC2 in Chicago; her second was installed in 2018 in the Living Architecture exhibit at 6018 North.
Cheng is Scientist In Residence at the School of the Art Institute of Chicago and won tenure in Pure Mathematics at the University of Sheffield, UK. She is now Honorary Fellow at the University of Sheffield and Honorary Visiting Fellow at City University, London. She has previously taught at the universities of Cambridge, Chicago and Nice and holds a PhD in pure mathematics from the University of Cambridge. Her research is in the field of Category Theory, and to date she has published 16 research papers in international journals.
You can learn more about her in this in-depth biographic interview on the BBC's Life Scientific.
Eugenia Cheng | Speaker | TED.com