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The world is awash
with divisive arguments,
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conflict, fake news,
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victimhood,
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exploitation, prejudice,
bigotry, blame, shouting,
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and minuscule attention spans.
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It can sometimes seem
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that we are doomed to take sides,
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be stuck in echo chambers,
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and never agree again.
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It can sometimes seem
like a race to the bottom,
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where everyone is calling out
somebody else's privilege
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and vying to show that they
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are the most hard-done-by person
in the conversation.
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How can we make sense
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in a world that doesn't?
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I have a tool for understanding
this confusing world of ours,
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a tool that you might not expect:
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abstract mathematics.
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I am a pure mathematician.
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Traditionally, pure maths
is like the theory of maths,
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where applied maths is applied
to real problems like building bridges
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and flying planes
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and controlling traffic flow.
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But I'm going to talk about a way
that pure maths applies directly
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to our a daily lives as a way of thinking.
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I don't solve quadratic equations
to help me with my daily life,
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but I do use mathematical thinking
to help me understand arguments
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and to empathize with other people.
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And so pure maths helps me
with the entire human world.
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But before I talk about
the entire human world,
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I need to talk about something
that you might think of
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as irrelevant schools maths:
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factors of numbers.
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We're going to start by thinking
about the factors of 30.
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Now, if this makes you shudder
with bad memories of school maths lessons,
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I sympathize,
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because I found school
maths lessons boring too.
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But I'm pretty sure we are going
to take this in a direction
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that is very different
from what happened at school.
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So what are the factors of 30?