all right do any of you have a question that you absolutely hate to be asked I
that you absolutely hate to be asked I
that you absolutely hate to be asked I do and it typically comes up in a social
do and it typically comes up in a social
do and it typically comes up in a social setting typically when I’m meeting
setting typically when I’m meeting
setting typically when I’m meeting people that I only know and often it’s
people that I only know and often it’s
people that I only know and often it’s often we’ve been chatting for a while
often we’ve been chatting for a while
often we’ve been chatting for a while something you know we’ve talked about
something you know we’ve talked about
something you know we’ve talked about sports we’ve talked about the weather
sports we’ve talked about the weather
sports we’ve talked about the weather we’ve exchanged some witty banter and
we’ve exchanged some witty banter and
we’ve exchanged some witty banter and then somebody has to go ruin at all by
then somebody has to go ruin at all by
then somebody has to go ruin at all by asking so what do you do
asking so what do you do
asking so what do you do all right and local you’re all I love
all right and local you’re all I love
all right and local you’re all I love what I do absolutely love what I do but
what I do absolutely love what I do but
what I do absolutely love what I do but what I don’t love is the response and
what I don’t love is the response and
what I don’t love is the response and that’s what I open up and tell somebody
that’s what I open up and tell somebody
that’s what I open up and tell somebody else what I do knowing this I go into
else what I do knowing this I go into
else what I do knowing this I go into the question I’m a mathematician and I
the question I’m a mathematician and I
the question I’m a mathematician and I usually get one of three responses one
usually get one of three responses one
usually get one of three responses one is for the person I’ve been successfully
is for the person I’ve been successfully
is for the person I’ve been successfully communicating with for maybe up to 30
communicating with for maybe up to 30
communicating with for maybe up to 30 minutes becomes neat I get this sort of
look and maybe they can muster out
look and maybe they can muster out something like well I must be really
something like well I must be really
something like well I must be really smart or I’m kind of intimidated right
smart or I’m kind of intimidated right
smart or I’m kind of intimidated right now all right the next person all the
now all right the next person all the
now all right the next person all the worst is the one who’s not intimidated
worst is the one who’s not intimidated
worst is the one who’s not intimidated whatsoever about what I do and they have
whatsoever about what I do and they have
whatsoever about what I do and they have no qualms telling me about it
no qualms telling me about it
no qualms telling me about it all right so I get this I I’ve always
all right so I get this I I’ve always
all right so I get this I I’ve always taken math I hated all our math teachers
taken math I hated all our math teachers
taken math I hated all our math teachers I don’t wanna take a math where we ever
I don’t wanna take a math where we ever
I don’t wanna take a math where we ever get to use this stuff right and then I
get to use this stuff right and then I
get to use this stuff right and then I get the third sort of unusual response
get the third sort of unusual response
get the third sort of unusual response that our little doggy with glasses
that our little doggy with glasses
that our little doggy with glasses represents and the occasional person who
represents and the occasional person who
represents and the occasional person who almost embarrassingly not letting
almost embarrassingly not letting
almost embarrassingly not letting anybody else to hear says I actually
anybody else to hear says I actually
anybody else to hear says I actually like that okay so I’m trying to combat
like that okay so I’m trying to combat
like that okay so I’m trying to combat that and this I’m trying to
that and this I’m trying to
that and this I’m trying to the way that you think about mathematics
the way that you think about mathematics
the way that you think about mathematics okay so that’s the goal tonight but
okay so that’s the goal tonight but
okay so that’s the goal tonight but first we have to talk about sports
first we have to talk about sports
first we have to talk about sports because the less force its March so we
because the less force its March so we
because the less force its March so we have to talk about basketball right so
have to talk about basketball right so
have to talk about basketball right so when I say basketball what comes to your
when I say basketball what comes to your
when I say basketball what comes to your mind probably not this right it’s it’s
mind probably not this right it’s it’s
mind probably not this right it’s it’s completely supposed to be something that
completely supposed to be something that
completely supposed to be something that you can’t really see but if you’ve been
you can’t really see but if you’ve been
you can’t really see but if you’ve been involved in basketball you know this is
involved in basketball you know this is
involved in basketball you know this is an integral part right if you play
an integral part right if you play
an integral part right if you play basketball or you’ve known something
basketball or you’ve known something
basketball or you’ve known something thanks basketball what do you do more
thanks basketball what do you do more
thanks basketball what do you do more than play game you should go to practice
than play game you should go to practice
than play game you should go to practice yes right so we go to practice you do
yes right so we go to practice you do
yes right so we go to practice you do all these crazy drills that if you put
all these crazy drills that if you put
all these crazy drills that if you put cones down when you dribble around the
cones down when you dribble around the
cones down when you dribble around the cones you dribble around your legs you
cones you dribble around your legs you
cones you dribble around your legs you do suicides you do free-throw drills you
do suicides you do free-throw drills you
do suicides you do free-throw drills you do ball handling drills you play bumper
do ball handling drills you play bumper
do ball handling drills you play bumper knock out or whatever you call it which
knock out or whatever you call it which
knock out or whatever you call it which to me seems like a monumental waste of
to me seems like a monumental waste of
to me seems like a monumental waste of time then why in the world would the
time then why in the world would the
time then why in the world would the coach just do this stuff that you’re
coach just do this stuff that you’re
coach just do this stuff that you’re never actually going to use in a game
never actually going to use in a game
never actually going to use in a game you see where I’m going with this
you see where I’m going with this
you see where I’m going with this okay so my my claim is there’s a purpose
okay so my my claim is there’s a purpose
okay so my my claim is there’s a purpose behind the drills on the repetition not
behind the drills on the repetition not
behind the drills on the repetition not because can you imagine in the middle of
because can you imagine in the middle of
because can you imagine in the middle of a basketball game I guess on a fast
a basketball game I guess on a fast
a basketball game I guess on a fast break from and on the court throws down
break from and on the court throws down
break from and on the court throws down without Chicago
without Chicago
without Chicago dribbles around them goes into the layup
dribbles around them goes into the layup
dribbles around them goes into the layup probably not going to happen but the
probably not going to happen but the
probably not going to happen but the drills have made the person more
drills have made the person more
drills have made the person more comfortable with the basketball it’s
comfortable with the basketball it’s
comfortable with the basketball it’s more into natural reaction to the to the
more into natural reaction to the to the
more into natural reaction to the to the game right so probably with us at
game right so probably with us at
game right so probably with us at basketball
basketball
basketball he’s also something more like this
and so what I would like to do tonight
and so what I would like to do tonight is try to take you mathematically on the
is try to take you mathematically on the
is try to take you mathematically on the same dirty right to go from thinking
same dirty right to go from thinking
same dirty right to go from thinking about it as the practice to the game
about it as the practice to the game
about it as the practice to the game right that’s the classroom to the real
right that’s the classroom to the real
right that’s the classroom to the real life all right so what I want to do is
life all right so what I want to do is
life all right so what I want to do is talk about mathematical thinking versus
talk about mathematical thinking versus
talk about mathematical thinking versus mathematics it’s just what most of you
mathematics it’s just what most of you
mathematics it’s just what most of you think of what to say
think of what to say
think of what to say mathematics all right so what is
mathematics all right so what is
mathematics all right so what is mathematical thinking great question and
mathematical thinking great question and
mathematical thinking great question and it seems like a real big idea to say you
it seems like a real big idea to say you
it seems like a real big idea to say you don’t want to thank you for all thinking
don’t want to thank you for all thinking
don’t want to thank you for all thinking about what you did in the classroom to
about what you did in the classroom to
about what you did in the classroom to how you think about math in real life
how you think about math in real life
how you think about math in real life okay so the math I would think is up
okay so the math I would think is up
okay so the math I would think is up among view you’re probably saying that’s
among view you’re probably saying that’s
among view you’re probably saying that’s always great lady can you give us an
always great lady can you give us an
always great lady can you give us an example I’m so glad you asked
example I’m so glad you asked
example I’m so glad you asked right and it’s three stop enough there’s
right and it’s three stop enough there’s
right and it’s three stop enough there’s a wonderful book called how not to be
a wonderful book called how not to be
a wonderful book called how not to be wrong to how the power of mathematical
wrong to how the power of mathematical
wrong to how the power of mathematical thinking can check that off and see a
thinking can check that off and see a
thinking can check that off and see a lot more examples all right so that the
lot more examples all right so that the
lot more examples all right so that the idea of a faculty P is that you look at
idea of a faculty P is that you look at
idea of a faculty P is that you look at an area of your life that really does
an area of your life that really does
an area of your life that really does have anything to do with mathematics but
have anything to do with mathematics but
have anything to do with mathematics but try to see it from the through the lens
try to see it from the through the lens
try to see it from the through the lens of a mathematician alright so we’re
of a mathematician alright so we’re
of a mathematician alright so we’re going to do roll freak easy topics war
going to do roll freak easy topics war
going to do roll freak easy topics war politics and religion all right
we’ll start with more so the question
we’ll start with more so the question being posed was what can we do these
being posed was what can we do these
being posed was what can we do these rear rollers ooh what can we do to
rear rollers ooh what can we do to
rear rollers ooh what can we do to that’ll protect these planes right the
that’ll protect these planes right the
that’ll protect these planes right the planes of our pilots in there right we
planes of our pilots in there right we
planes of our pilots in there right we wanted to come back and and so they they
wanted to come back and and so they they
wanted to come back and and so they they realize that they can armed with the
realize that they can armed with the
realize that they can armed with the planes a little bit better but they also
planes a little bit better but they also
planes a little bit better but they also laws with can’t armor the whole point
laws with can’t armor the whole point
laws with can’t armor the whole point okay because if the be too heavy we’re
okay because if the be too heavy we’re
okay because if the be too heavy we’re probably burn out too much cool all
probably burn out too much cool all
probably burn out too much cool all right we can’t do that so you can choose
right we can’t do that so you can choose
right we can’t do that so you can choose what are we going to reinforce this
what are we going to reinforce this
what are we going to reinforce this plane right so they collected some
plane right so they collected some
plane right so they collected some information looked at web versus the
information looked at web versus the
information looked at web versus the penguin being shot up right and so they
penguin being shot up right and so they
penguin being shot up right and so they looked at the main three areas that
looked at the main three areas that
looked at the main three areas that engine the fuselage on the fuel system
engine the fuselage on the fuel system
engine the fuselage on the fuel system in realize it looks like the fuselage
in realize it looks like the fuselage
in realize it looks like the fuselage was taking the biggest hint all right
was taking the biggest hint all right
was taking the biggest hint all right and then the rest of the plane they
and then the rest of the plane they
and then the rest of the plane they looked at that I thought really thinking
looked at that I thought really thinking
looked at that I thought really thinking home did on those and the weeks okay so
home did on those and the weeks okay so
home did on those and the weeks okay so that’s such a week night they approach
that’s such a week night they approach
that’s such a week night they approach the mathematician Abraham Wald who was a
the mathematician Abraham Wald who was a
the mathematician Abraham Wald who was a Jewish mathematician who escaped from
Jewish mathematician who escaped from
Jewish mathematician who escaped from Austria and comes the United States and
Austria and comes the United States and
Austria and comes the United States and they don’t really trust him with a lot
they don’t really trust him with a lot
they don’t really trust him with a lot of information okay but they didn’t take
of information okay but they didn’t take
of information okay but they didn’t take in this and so what we like you to do is
in this and so what we like you to do is
in this and so what we like you to do is help us to figure out how to do this
help us to figure out how to do this
help us to figure out how to do this opportunity what’s the best way for sad
opportunity what’s the best way for sad
opportunity what’s the best way for sad honor
honor
honor she’s a fuselage and maybe or something
she’s a fuselage and maybe or something
she’s a fuselage and maybe or something in order to protect the plane and he
in order to protect the plane and he
in order to protect the plane and he said you’ve got it all wrong which
said you’ve got it all wrong which
said you’ve got it all wrong which criest not petitions love to say all
criest not petitions love to say all
criest not petitions love to say all right so he said you need to armor the
right so he said you need to armor the
right so he said you need to armor the engine you need to armor the place where
engine you need to armor the place where
engine you need to armor the place where you don’t find the locals why is that
you don’t find the locals why is that
you don’t find the locals why is that okay great question I have to ask these
okay great question I have to ask these
okay great question I have to ask these for you since is not interacted so
for you since is not interacted so
for you since is not interacted so so they women and he somebody explained
so they women and he somebody explained
so they women and he somebody explained was what you’re basing your assumptions
was what you’re basing your assumptions
was what you’re basing your assumptions on is that you’re looking at all of the
on is that you’re looking at all of the
on is that you’re looking at all of the planes but you’re not the reality is a
planes but you’re not the reality is a
planes but you’re not the reality is a lot of the Pyke’s didn’t come back and
lot of the Pyke’s didn’t come back and
lot of the Pyke’s didn’t come back and so what he saw as the fuselage can get
so what he saw as the fuselage can get
so what he saw as the fuselage can get pretty shot up the rest of the plane can
pretty shot up the rest of the plane can
pretty shot up the rest of the plane can get pretty shot up and it would come
get pretty shot up and it would come
get pretty shot up and it would come back as you’re looking at it the engine
back as you’re looking at it the engine
back as you’re looking at it the engine however could not and the reason there
however could not and the reason there
however could not and the reason there were super bullet belts one of two
were super bullet belts one of two
were super bullet belts one of two reasons either the Germans were really
reasons either the Germans were really
reasons either the Germans were really bad shots or when the engine got hit the
bad shots or when the engine got hit the
bad shots or when the engine got hit the plane were often like that so he
plane were often like that so he
plane were often like that so he readjusted their thinking and they went
readjusted their thinking and they went
readjusted their thinking and they went with it they were heard the engine and
with it they were heard the engine and
with it they were heard the engine and they did it begin the Korean War the
they did it begin the Korean War the
they did it begin the Korean War the Vietnam War
Vietnam War
Vietnam War okay so this is not happening you’ve got
okay so this is not happening you’ve got
okay so this is not happening you’ve got to challenge your assumptions when
to challenge your assumptions when
to challenge your assumptions when you’re trying to make a decision
you’re trying to make a decision
you’re trying to make a decision Thanks what am I is doing here as I’m
Thanks what am I is doing here as I’m
Thanks what am I is doing here as I’m trying to make this decision
trying to make this decision
trying to make this decision this one actually saved lives right the
this one actually saved lives right the
this one actually saved lives right the rest not so much right so next politics
rest not so much right so next politics
rest not so much right so next politics all politics so this is not really going
all politics so this is not really going
all politics so this is not really going to solve any problems this can explain
to solve any problems this can explain
to solve any problems this can explain to you why mathematicians know better
to you why mathematicians know better
to you why mathematicians know better that they go into politics or it really
that they go into politics or it really
that they go into politics or it really into any fuel that has to do with
into any fuel that has to do with
into any fuel that has to do with people’s public opinion I guess the
people’s public opinion I guess the
people’s public opinion I guess the problem is we dig ourselves on all
problem is we dig ourselves on all
problem is we dig ourselves on all making it up all right so the question
making it up all right so the question
making it up all right so the question might be how many of you think you ought
might be how many of you think you ought
might be how many of you think you ought to actually answer this how do you think
to actually answer this how do you think
to actually answer this how do you think that we should try to cut the deficit
that we should try to cut the deficit
that we should try to cut the deficit well if you ask the American population
well if you ask the American population
well if you ask the American population they’re going to the majority you’re
they’re going to the majority you’re
they’re going to the majority you’re going to say yes I guess we should cut
going to say yes I guess we should cut
going to say yes I guess we should cut the deficit the deficits terrible it’s
the deficit the deficits terrible it’s
the deficit the deficits terrible it’s huge we need to get cut
huge we need to get cut
huge we need to get cut great politicians make a great that’s
great politicians make a great that’s
great politicians make a great that’s all I think too let’s go for it second
all I think too let’s go for it second
all I think too let’s go for it second question how we do this we’re really got
question how we do this we’re really got
question how we do this we’re really got two options right we can raise taxes or
two options right we can raise taxes or
two options right we can raise taxes or we can cut spending well most people
we can cut spending well most people
we can cut spending well most people really don’t want their taxes raised all
really don’t want their taxes raised all
really don’t want their taxes raised all right so they’re like yes cut spending
right so they’re like yes cut spending
right so they’re like yes cut spending we want to cut spending we’re all over
we want to cut spending we’re all over
we want to cut spending we’re all over with that too here’s the problem people
with that too here’s the problem people
with that too here’s the problem people really like the things that the
really like the things that the
really like the things that the government spends money on okay so if
government spends money on okay so if
government spends money on okay so if you try to dig a little deeper and
you try to dig a little deeper and
you try to dig a little deeper and suggest what we should cut
suggest what we should cut
suggest what we should cut guess what happens you can’t find a
guess what happens you can’t find a
guess what happens you can’t find a majority of people that can agree on any
majority of people that can agree on any
majority of people that can agree on any one thing to be cut because they
one thing to be cut because they
one thing to be cut because they those programs they like the things that
those programs they like the things that
those programs they like the things that the government supporting this is a
the government supporting this is a
the government supporting this is a little simplistic version of it where
little simplistic version of it where
little simplistic version of it where I’ve just gotten into stutters right so
I’ve just gotten into stutters right so
I’ve just gotten into stutters right so third people want to raise taxes third
third people want to raise taxes third
third people want to raise taxes third that people want to cut defense thirds
that people want to cut defense thirds
that people want to cut defense thirds of people want to cut Medicare all right
of people want to cut Medicare all right
of people want to cut Medicare all right so the agreements literally is to cut
so the agreements literally is to cut
so the agreements literally is to cut spending got to service the people that
spending got to service the people that
spending got to service the people that one has beneath the way you style okay
one has beneath the way you style okay
one has beneath the way you style okay we going to go with the majority and
we going to go with the majority and
we going to go with the majority and what Evan we gotta decide what where to
what Evan we gotta decide what where to
what Evan we gotta decide what where to cut so let’s kind of fill in so we got
cut so let’s kind of fill in so we got
cut so let’s kind of fill in so we got two things the people don’t want to do
two things the people don’t want to do
two things the people don’t want to do that right well ok we’ll cut Medicare
that right well ok we’ll cut Medicare
that right well ok we’ll cut Medicare mulching Thursday fall and do that
mulching Thursday fall and do that
mulching Thursday fall and do that either all right this is a simplistic
either all right this is a simplistic
either all right this is a simplistic version but it’s actually what’s
version but it’s actually what’s
version but it’s actually what’s happening right so in the previous
happening right so in the previous
happening right so in the previous administration there was a national
administration there was a national
administration there was a national agreement to cut the deficit there was
agreement to cut the deficit there was
agreement to cut the deficit there was national agreement to do it by cutting
national agreement to do it by cutting
national agreement to do it by cutting spending thirteen different programs
spending thirteen different programs
spending thirteen different programs were put forward as what could possibly
were put forward as what could possibly
were put forward as what could possibly be cut and the people voting voted to
be cut and the people voting voted to
be cut and the people voting voted to increase spending in eleven of those
increase spending in eleven of those
increase spending in eleven of those categories so not only did they not hope
categories so not only did they not hope
categories so not only did they not hope to cut the spending or keep it the same
to cut the spending or keep it the same
to cut the spending or keep it the same they wanted to have a go up the other
they wanted to have a go up the other
they wanted to have a go up the other two categories that they agreed to cut
two categories that they agreed to cut
two categories that they agreed to cut or such a miniscule part of the budget
or such a miniscule part of the budget
or such a miniscule part of the budget they really didn’t make any difference
they really didn’t make any difference
they really didn’t make any difference okay so here’s the problem right so it’s
okay so here’s the problem right so it’s
okay so here’s the problem right so it’s easy to get a group to agree on an end
easy to get a group to agree on an end
easy to get a group to agree on an end goal but it’s hard to do is get a group
goal but it’s hard to do is get a group
goal but it’s hard to do is get a group degree on how to reach that goal okay so
degree on how to reach that goal okay so
degree on how to reach that goal okay so you need to be like a mathematician and
you need to be like a mathematician and
you need to be like a mathematician and if we this all together or if you go to
if we this all together or if you go to
if we this all together or if you go to a leadership place that where you really
a leadership place that where you really
a leadership place that where you really do one of this in public opinion right
do one of this in public opinion right
do one of this in public opinion right which is probably good idea would be a
which is probably good idea would be a
which is probably good idea would be a dictator or maybe do but all tell me
dictator or maybe do but all tell me
dictator or maybe do but all tell me okay so if you want to get public
okay so if you want to get public
okay so if you want to get public opinion you have to be careful the more
opinion you have to be careful the more
opinion you have to be careful the more you ask
you ask
you ask the deeper you did the more likely you
the deeper you did the more likely you
the deeper you did the more likely you are to get into a place where now it
are to get into a place where now it
are to get into a place where now it doesn’t matter what you do the majority
doesn’t matter what you do the majority
doesn’t matter what you do the majority of people are going to be
of people are going to be
of people are going to be happy with okay so what’s going to
happy with okay so what’s going to
happy with okay so what’s going to happen if I decide not go after the
happen if I decide not go after the
happen if I decide not go after the deficit of majority of people are
deficit of majority of people are
deficit of majority of people are unhappy because they wanted us to cut
unhappy because they wanted us to cut
unhappy because they wanted us to cut the deficit if I do decide because the
the deficit if I do decide because the
the deficit if I do decide because the deficit much due to raising taxes
deficit much due to raising taxes
deficit much due to raising taxes majority of people are unhappy because
majority of people are unhappy because
majority of people are unhappy because they want the tax rate but if I do it
they want the tax rate but if I do it
they want the tax rate but if I do it through cutting spending a majority of
through cutting spending a majority of
through cutting spending a majority of people are unhappy because they don’t
people are unhappy because they don’t
people are unhappy because they don’t like what I cut okay so some point in
like what I cut okay so some point in
like what I cut okay so some point in the leadership all we have to realize
the leadership all we have to realize
the leadership all we have to realize this kind of drew that you can get into
this kind of drew that you can get into
this kind of drew that you can get into and just make a decision you have to be
and just make a decision you have to be
and just make a decision you have to be believed all right last one religion all
believed all right last one religion all
believed all right last one religion all right so I played with this one for a
right so I played with this one for a
right so I played with this one for a while
while
while moving probably heard of Pascal’s wager
moving probably heard of Pascal’s wager
moving probably heard of Pascal’s wager okay so this was the Pascal – and
okay so this was the Pascal – and
okay so this was the Pascal – and hopefully of these and so he not badly
hopefully of these and so he not badly
hopefully of these and so he not badly argued that the only logical thing to do
argued that the only logical thing to do
argued that the only logical thing to do is to believe in the God of the Bible
is to believe in the God of the Bible
is to believe in the God of the Bible it’s kind of a heavy argument but
it’s kind of a heavy argument but
it’s kind of a heavy argument but basically if you don’t leave and you’re
basically if you don’t leave and you’re
basically if you don’t leave and you’re wrong it’s a big penalty rise if you do
wrong it’s a big penalty rise if you do
wrong it’s a big penalty rise if you do expect about you’re doing better to
expect about you’re doing better to
expect about you’re doing better to believe all right a little heavy for
believe all right a little heavy for
believe all right a little heavy for tonight so let’s go with me sitting in
tonight so let’s go with me sitting in
tonight so let’s go with me sitting in church okay so we sit in church we’re
church okay so we sit in church we’re
church okay so we sit in church we’re singing the song and all the people
singing the song and all the people
singing the song and all the people around me are just amazed by Christ and
around me are just amazed by Christ and
around me are just amazed by Christ and I’m sitting there amazed at the grasp on
I’m sitting there amazed at the grasp on
I’m sitting there amazed at the grasp on infinity that the author of this hymn
infinity that the author of this hymn
infinity that the author of this hymn has okay so this is let’s read this it
has okay so this is let’s read this it
has okay so this is let’s read this it says when we’ve been there talking about
says when we’ve been there talking about
says when we’ve been there talking about heaven ten thousand years bright shining
heaven ten thousand years bright shining
heaven ten thousand years bright shining as the Sun we’ve no less days what we
as the Sun we’ve no less days what we
as the Sun we’ve no less days what we know those days to see you guys for
know those days to see you guys for
know those days to see you guys for anything when we first begun to
anything when we first begun to
anything when we first begun to investors arrived at heaven you’ve had
investors arrived at heaven you’ve had
investors arrived at heaven you’ve had five boy people streets of all it’s a
five boy people streets of all it’s a
five boy people streets of all it’s a pretty cool place you’re hanging there
pretty cool place you’re hanging there
pretty cool place you’re hanging there for days for weeks for months for years
for days for weeks for months for years
for days for weeks for months for years ten thousand years you’re like this
ten thousand years you’re like this
ten thousand years you’re like this place is great how about I believe any
place is great how about I believe any
place is great how about I believe any person and you realize you’ve got
person and you realize you’ve got
person and you realize you’ve got exactly the no st. same amount of time
exactly the no st. same amount of time
exactly the no st. same amount of time left as you didn’t show them ten
left as you didn’t show them ten
left as you didn’t show them ten thousand years earlier if that’s not a
thousand years earlier if that’s not a
thousand years earlier if that’s not a beautiful picture of infinity I hope it
beautiful picture of infinity I hope it
beautiful picture of infinity I hope it is right so so we’ve looked at these
is right so so we’ve looked at these
is right so so we’ve looked at these examples of how half addicts can save
examples of how half addicts can save
examples of how half addicts can save wise or how just think of anything
wise or how just think of anything
wise or how just think of anything higher and all you can kick it out of or
higher and all you can kick it out of or
higher and all you can kick it out of or just appreciate something or just be
just appreciate something or just be
just appreciate something or just be weird okay this just scratches the
weird okay this just scratches the
weird okay this just scratches the surface all right but my goal here is to
surface all right but my goal here is to
surface all right but my goal here is to get you to realize that mathematics the
get you to realize that mathematics the
get you to realize that mathematics the drill leads to the ability to think
drill leads to the ability to think
drill leads to the ability to think mathematically okay so we’re going to
mathematically okay so we’re going to
mathematically okay so we’re going to look at the basketball clip one more
look at the basketball clip one more
look at the basketball clip one more time I’ve already got a minute because I
time I’ve already got a minute because I
time I’ve already got a minute because I can’t leave without counting all right
can’t leave without counting all right
can’t leave without counting all right so wrist account we’re going to count
so wrist account we’re going to count
so wrist account we’re going to count all the way to three all right one is
all the way to three all right one is
all the way to three all right one is that you’re all mathematical thinkers
that you’re all mathematical thinkers
that you’re all mathematical thinkers all of your mathematical thinkers you’ve
all of your mathematical thinkers you’ve
all of your mathematical thinkers you’ve been entirely too exposed to mathematics
been entirely too exposed to mathematics
been entirely too exposed to mathematics in your life not to me now we’re all
in your life not to me now we’re all
in your life not to me now we’re all along a spectrum right so we’re not all
along a spectrum right so we’re not all
along a spectrum right so we’re not all of Abraham Wald saving lives into the
of Abraham Wald saving lives into the
of Abraham Wald saving lives into the mathematical thinking spectrum right but
mathematical thinking spectrum right but
mathematical thinking spectrum right but anytime you can sit down with a group of
anytime you can sit down with a group of
anytime you can sit down with a group of your friends pull out a game you’ve
your friends pull out a game you’ve
your friends pull out a game you’ve never played before read instructions
never played before read instructions
never played before read instructions and actually play the game you’re
and actually play the game you’re
and actually play the game you’re thinking about matically okay you might
thinking about matically okay you might
thinking about matically okay you might say what just comes naturally well
say what just comes naturally well
say what just comes naturally well that’s because you’ve learned and been
that’s because you’ve learned and been
that’s because you’ve learned and been exposed to the way you have to think to
exposed to the way you have to think to
exposed to the way you have to think to do not that all right bring me if you
do not that all right bring me if you
do not that all right bring me if you can just have the thought that hey just
can just have the thought that hey just
can just have the thought that hey just because something’s good it doesn’t mean
because something’s good it doesn’t mean
because something’s good it doesn’t mean that more is better that’s not how I’m
that more is better that’s not how I’m
that more is better that’s not how I’m thinking okay so we’re all gonna have
thinking okay so we’re all gonna have
thinking okay so we’re all gonna have the figures number two it’s okay that
the figures number two it’s okay that
the figures number two it’s okay that we’re not all on the same place on the
we’re not all on the same place on the
we’re not all on the same place on the spectrum so I just argue that was hard
spectrum so I just argue that was hard
spectrum so I just argue that was hard to get agreement I think we can probably
to get agreement I think we can probably
to get agreement I think we can probably all agree that we don’t really want a
all agree that we don’t really want a
all agree that we don’t really want a world filled
world filled
world filled all the people that are really strong
all the people that are really strong
all the people that are really strong mathematical thinkers okay so they bring
mathematical thinkers okay so they bring
mathematical thinkers okay so they bring a good perspective but it’s one
a good perspective but it’s one
a good perspective but it’s one perspective
perspective
perspective all right so wherever you are on the
all right so wherever you are on the
all right so wherever you are on the spectrum just appreciate and number
spectrum just appreciate and number
spectrum just appreciate and number three for the love don’t be the heater
three for the love don’t be the heater
three for the love don’t be the heater right when you need don’t be number two
right when you need don’t be number two
right when you need don’t be number two right when you meet somebody at the
right when you meet somebody at the
right when you meet somebody at the party or wherever you are and they tell
party or wherever you are and they tell
party or wherever you are and they tell you in their mathematician are they
you in their mathematician are they
you in their mathematician are they majored in math or something along those
majored in math or something along those
majored in math or something along those horrible lines alright stop yourself
horrible lines alright stop yourself
horrible lines alright stop yourself before you get your knee-jerk reaction
before you get your knee-jerk reaction
before you get your knee-jerk reaction tell the person how much you hate it and
tell the person how much you hate it and
tell the person how much you hate it and stop for a minute and take a breath back
stop for a minute and take a breath back
stop for a minute and take a breath back up and think about the fact that there’s
up and think about the fact that there’s
up and think about the fact that there’s anything this is goes beyond mathematics
anything this is goes beyond mathematics
anything this is goes beyond mathematics if there’s anything that somebody loves
if there’s anything that somebody loves
if there’s anything that somebody loves right that they’re passionate about that
right that they’re passionate about that
right that they’re passionate about that they find beauty and there’s probably
they find beauty and there’s probably
they find beauty and there’s probably something there even if you don’t see it
something there even if you don’t see it
something there even if you don’t see it so rather than telling me how much you
so rather than telling me how much you
so rather than telling me how much you may need it and bring your perspective
may need it and bring your perspective
may need it and bring your perspective maybe just say wow that’s fantastic
maybe just say wow that’s fantastic
maybe just say wow that’s fantastic tell me about it what do you like what
tell me about it what do you like what
tell me about it what do you like what do you want to do with that okay so you
do you want to do with that okay so you
do you want to do with that okay so you be that person so we’re gonna look at
be that person so we’re gonna look at
be that person so we’re gonna look at the basketball clip we’ve gone way too
the basketball clip we’ve gone way too
the basketball clip we’ve gone way too long well talking about basketball so
long well talking about basketball so
long well talking about basketball so we’re going to go back to that same clip
we’re going to go back to that same clip
we’re going to go back to that same clip I showed you how much you think about
I showed you how much you think about
I showed you how much you think about the whole arena so the setup here this
the whole arena so the setup here this
the whole arena so the setup here this was the championship last year
was the championship last year
was the championship last year still no go North Carolina their tie
still no go North Carolina their tie
still no go North Carolina their tie their four point seven seconds left the
their four point seven seconds left the
their four point seven seconds left the low house ball two beautifully okay
low house ball two beautifully okay
low house ball two beautifully okay there’s only ten people at that moment
there’s only ten people at that moment
there’s only ten people at that moment playing basketball but there’s thousands
playing basketball but there’s thousands
playing basketball but there’s thousands of people there right and there are all
of people there right and there are all
of people there right and there are all different levels of basketball ability
different levels of basketball ability
different levels of basketball ability of basketball understanding and yet they
of basketball understanding and yet they
of basketball understanding and yet they can all appreciate what’s happening here
can all appreciate what’s happening here
can all appreciate what’s happening here right what’s happening and twelve more
right what’s happening and twelve more
right what’s happening and twelve more comments but everybody
comments but everybody
comments but everybody really appreciate what’s happening here
really appreciate what’s happening here
really appreciate what’s happening here whether or not they actually have to go
whether or not they actually have to go
whether or not they actually have to go need a CT right so next time we found
need a CT right so next time we found
need a CT right so next time we found out somebody’s a mathematician instead
out somebody’s a mathematician instead
out somebody’s a mathematician instead of throwing shade throw company
”
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