[Applause]
imagine an art class at school in
which will zap paint and
stars but nothing else
so rather than learn from them takes
time to study works of art
picasso van go finish our domains if
you spend the night refined you stars
like this one is what it gives the
taste continue what it would do to me and
millar as a whole in the
painting
I think at the world finance things
like art classes at school is a
waste of time makes you realize what
point I did not like painting but this
what did it mean with that?
how much I do not like painting
stars okay but go after some
spring python canvases to look under
all its aspects so to inform any
the ball and that we are not our vision to
incense the immensity of the space that makes them
surrounded
would the results not be
more attractive I think that’s where
we can see the beauty so
the vastness of space in which we
lives
believe it or not it may be that which
matent teach us in the West so
what we see in school and only one
Small party
this science there and accordingly
can have a lot of difficulties to
so before the relevance the outcome
of what we study good some
could draw a conclusion from
jarret the math class at school is
a waste of time I really took
my sisters and I will answer you
and that we feel that we really between
acted my analogy so we feel that you
who you are not yet at
Foreign step painting sports
are well off but that your talents of
painter on being contented up
now still stars so
my goal today is going to be so of
show you to guide you through
this space of this science the he
there is more present in our society without
we realize for as much and for the
skeptical and or for those who have not
have been doing the game for a long time I think
not that we really need to be
mathematician to be able to benefit
so of this science so in what
regards I’m here in medicine so I
am not pretending to be at the
height the mathematician but that prevents
so can passionate about these
areas which in my opinion allows
really understand the phenomena that
surrounds us
it’s to tell you that the science of which
I speak
this science that studies collections
and number and read everywhere and it allows
first of all to satisfy both so a
desire more global curiosity but
also to answer the question really
fascinating people are starting over that flow
blood works or respond to
existential questions of the kind in
France is my bank account which
is always free
ok so an example so increases our
stars when I was little I got
always asked a question okay this is
too much how a star is good since
I do not have an answer but decided
to find by month – and this before
know now if netoyer spirit
it’s in three dimensions and not in
starry shape with spikes
like this one who so how else
a star like this, in other words
what’s his r if i think they
will emit its width and length are
of 2 m so we all did together at
the school how to calculate the figure art
at the formula is not it so for
a customer we will make them go to
tall and arduous yet and we can do
run alongside for a drive we’re going
make them pif to the radius squared well
other formulas of that but that’s where
let’s get out to our first that’s
existential ie there are no formulas
for a star
so what are we doing future no
it is true I will rather invite you
tried to practice reasoning
who strikes at the match in which was
take what you already know and
apply it to the new situation
so our heads to the laundry that is this
that we can see four points city
counted before I did not say what I’m coming
to say
side jumped in France and some
full circle
it’s a record we have done so far
Yes No Maybe
so I call the question you see a
disk disks on the image so so
how am I going to see we are positioning
like that what am I going to do
simply cut my star in
four identical pieces and then after
just place or four corners
symmetric way and we get this
figure here and there all that remains to me
to have evaded the hall of the
al-askari record
and we get you know now
how to calculate the air of a mike star
so in this problem there his request has
also a little creativity
so much develops two sides of
logical thinking reasoning
mathematical also said m at the same time
to elbow and creative who really cool and
the example here was to show that
often the matches allow us to
understand things so
different and in fact it gives us
often a better understanding of
things
so it’s cool to have a good
understanding but what ali mathlouthi
help us make their decision
so good news today on TV
quebec
you have the chance to win a
car or nice animals ok here
how does it work in there the paw
on the sheep and the pig are distributed
alarming behind three doors
that would be so one and you leave with
what’s behind but watch out
see that we cover only one
which door are you going to choose from?
with a show of hands all agree
those who want to wear it and on every
brings report 3 the majority seems
have door number 3 but it’s a
such majority
but well then his who you take the
door number 3 putting in my turn so
years the two mates who stays months is
animator and knowing where the
car
I renew them a bet in the number
2 which contains a pig and now
ladies and gentlemen I offer you a
opportunity to innovate keep your
choice
the door number 3 or rather change to
the number one door
so anyone who wants to win on
initial one would like and all those who
want to change the door
ok good this time the people talked
we will keep the door when we see this
so he separates the door number 3
ok so 11 open the doors and you
win the sheep good it’s not fake the
wrist of the made
in short you will surely have what choice
was he between door changy or
kept in imports into this
situation there I think that actually
the judgments seem as good
the probability antenna enclosure years so
we have a car on the door
50/50 then promises well cognitive
waiting for him with me who are trying to
to pervert changing skin
on behalf of the children we are left to do
no longer twisted here but to avoid
any source of bié a simple solution
and that expressed the situation of a
mathematical point of view
in fact there are two scenarios
possible so in the first scenario
beautiful things and not just anyone
contains the car then I open it
another one and I hear that you have to
keep this door there to be able to
to win
this agreement is this scenario the claw a
times out of three as a value and 3
doors
but no in the second scenario you
originally chose a door that you
do not know the car in an old
sheep pigs and me a day or
the other particular the other animal and
the atmosphere that France you are
taggart you have to change your door
change your choice to win the car
and that’s the second scenario you get
feats urtois com
in e2 animals among the three gates and
so here we have two-thirds of the chances of
win the battle if you change your door
he’s laughing went lucky if we
retain our initial choice
I think a way to illustrate his would
so in the form of a tree of
probability so if we look here the
branch in to rap in the center and the
golden scenarios and the two branches of the spa
the scenario of and all we have to
to do now is to multiply
possibilities on each board so on
every way
from left to right to get the
total probability that the event is
boosted by the branch is realized
here we sum up on yonne tis
the total probabilities we feel when
again that there would be two thirds
chances of winning the car if we
change of doors and only a third
if we keep the same door then
that your editions take you to believe
maybe the opposite
28 games allowed to take a
enlightened decision here so the moral of
history is really climate ” can
help us to take better
decisions
good I’m talking about morals it’s in the process of
to become a bit philosophical my business
you know sometime the maths and the
philo was one so a lot of
great mathematicians so I’m thinking of
people like m
pascal blaise and cards or even
livni what is creative which some
10 years the integral lions have been or are
eventually became philosophers
I think it’s the song that
complement because males
can tie mentioning had had
answers or results that are a
little disturbing destabilizing even
scary it would be that we will turn
to philosophy so to give a
justification an explanation to these
answers like for example if I you
say any movement is impossible in
the crowd because I’m moving right now
but that’s what we come
to go there a philosopher
Greek mathematician managed to find
thanks to a race between the family
achilles against a turtle so the
situation unfolds as to being
a humble and kind and kind man who
gives an advanced length to the
twist let’s say 10 meters and so the
turtle starts running to cover and
when she reaches the little mch he
so also starts running and
quickly walk the 10 meters that the
separate the turtle but you are still
that during that time the torture in
the old one by m so he stays on
in 11th meters to go before
catch up with the turtle and hide it
the course at makes the twist at
counting so maybe we do not mention
a body of m ok but there achilles he
will have to catch a tortuous while browsing
this year because of m and while they
were only the turtle still has as much
advanced a bit but is also small or
a remote film is the one feels that one
hide and the weight I rowed catch up with the
turtle because every time that covers
the distance separates the turtle but the
turtle time to move on a bit more and
therefore a figure never
linger the attention good you are going to me
to say that my situation is totally
absurd because it is obviously if we
do the test in real life we get
reports that Olympic runner
market the case part so easily the
turtle but yet the weight of
mathematics that seems to indicate the
opposite
so let’s take the situation but I
simplifies even more they’ve experienced a
piece I ‘m not going to run left to
right then the piece is an act so
to start he will go through the
first half and he stays the other
half to go 50
but here it’s me if you’re second
half there before you go all the way
I tap his half so
still ok so these facts remain
forbidden because to go but this
last quarter there before traveling to
complete and to go through his half so
8th he stays eighteenth
but to get to the end of
time to 8th before that I do not have that his
half so a 16th and so on
to infinity
so no matter how far we
remains to be traveled in fact she will be
always used to an infinity half
anyway and finally I can
not to go next to the room at
the other side actually by speeding up everything
movement is possible knowing that before
to make a move ben jaffar the
half of the movement but in fact she has
lie I have to redo the foam and the
half and so on
so how to explain this paradox there
who are so convincing if I tell you
that the evidence is before you because
whose causes are known here
okay actually this assertion is
finished
this agreement so an addition is finished of
number like 2100 because its 8th 16th
until nice ok the key here in fact it’s
that an infinite summation of number can
lead to a finished result that they have I
repeat one can be so a line because
it’s infinite number and lead to some
finished thing as a taste of 50000 little
does not matter it’s a year our case I think
that the best way to you can
it’s the illustrated good let’s even take
situation
but this time every number
represents 1 st and therefore have to trace
rectangles and decorations they correspond to
the of each number they see you that
even though they have an infinite amount the
rectangle italy if they have they in
drink water symmetrically
it’s going to make a total body and
eyepieces that finish an hour of a meter
square here following the recent this calculation
a bad son that mathematicians have
could result this hardox the young man
actually did that when we got here
it’s called syria
geometric a sawmill that can be
convergent ie that will lead
to a finished result and he wants a
formula for calculating convergence or
the divergence of a geometric sawmill
formula that teaches today in
all cegeps quebec and everywhere
around the world including gerard meys before
106 scientific mathematical terms
but in fact you understand that it’s
just
words that were asked to describe the
principle of summation we will
explain principle that you start
surely to understand but no there is
not had his tactical science was
arrested by the tyrant for cause this
betrayal and that would have been executed
one asks killed before his direct death
ranchi his own language with sita and the
spitting on the ground to get
avenge but good that language has
returned to the penalty shootout only the
half of the half we will never have
committed two touchdowns here is a
mat board
it allows me to work with
infinitely small thanks to the calculus
differential is in our code
infinitely big because this integral calculus
so if easily fascinating
matches could not touch that and
so a kind of dizziness that we feel
juggle that the finishes the trick of
launch like to understand a
situation that exceeds the limits
physical of our body I think that
it’s this maths can bring
so to finish this is really so
of a vast field of knowledge in
which can travel through
fascinating worlds without even needing
to lift a finger
so everything is really going on here
good I inform them without it but
understand libya so today we have
talked a little about geometry of
probabilities of financial calculation
integral but one must also know that
the world and matt is far from stopping
so at the level of the masts we prepare
the telemetry damian theory of
sets and we can also apply that
to make statistics of
the math economy applied to the
physical chemistry the bio so that’s
true a science that brings together a lot
of domains so connect big knife
but overall and that’s what he
Either really cool white look good
sales all of a sudden like that it can
look a little maybe big or even
ambitious you know I’m a big fan
Music plays many cut
piano and jules it’s luck
to teach to click so stands in
my free time
but what all my students aspire to
become a concert pianist years because
at ten o’clock and ten o’clock each day
no, it’s sure, but we’ll take back
piano basics like the linnet rhythm this
allows to play a lot of pieces so
it does not make them the mechanism in the world
certainly but it enriches their
life and it brings a lot of pleasure
so in the same vein I think
not that we should create maths for
clarified that this discipline can we
to bring
so just have an open mind
and devote time and passion
so invite you to enter this
world there knowing that its doors are
wide open and that no matter what
that you will find inside that
you would come out with a vision
renewed from the world and who knows
maybe a new passion thank you
[Applause]
”
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