Dangerous Knowledge Page #2
- Year:
- 2007
- 89 min
- 112 Views
one after another, you get motion.
And it works. The whole thing
relies on infinity but it works.
And because it worked,
everyone said:
alright, we don't
understand infinity.
Just leave it alone.
no, if this whole thing
rests on infinity,
we have to understand it.
And now remember
Cantor is a religious man.
So for him, that symbol...
isn't just a scientific mystery.
It's a religious mystery as well.
Here's the maths that God uses
to keep creation in motion.
And at it's heart, lies the
deeper mystery of infinity.
But it was a mystery,
that had so far defied every
mind that had looked at it.
confront the infinite was Galileo.
And he tried to do it using the circle.
This is how he did it.
He said:
first of all,draw a circle.
then a square and keep on going.
Keep adding sides.
Eventually he realised that
what the circle is...
is a shape with infinately many,
infinitesimally small sides.
Which seems great.
Now you can hold the infinite
and the infinitesimal
in your hands.
But as soon as he done that,
he realised it actually opened up
Because he said:
alright, let'sAnd now with an infinitely sharp
pencil, draw from the center...
infinitely sharp lines. One for each
of the lines on the inner circle.
There's an infinate number of them,
that should be enough
for the inner circle.
But now extend those lines out
till they meet the outer circle.
Now, those lines are diverging...
which means when you
get to the outer circle,
if you look really carefully,
there will be gaps.
There won't be enough.
Galileo just said:
that makes no sense.
If there's an infinite number
it should be enough!
we just can't understand the infinite!
Maybe God can, but with
our finite minds, we can't.
So, let's use the
concept if we must...
but let's not try
and understand infinity.
And that's exactly
how they left it...
until Georg Cantor came along.
At first it must have
seemed to Cantor,
that God really was on his side.
In the space of only a few years,
he married, began a family,
and published his
first ground-breaking paper
about infinity.
Where previously infinity had just
been a vague number without end,
Cantor saw a whole
Cantor did a new step and he said:
i want to add one plus one.
And Cantor said:
ok, why can i not add
infinity plus infinity?
That's also possible!
And this was a starting
point of his theory.
and subtract infinities...
and in fact discovered there
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"Dangerous Knowledge" Scripts.com. STANDS4 LLC, 2024. Web. 29 Mar. 2024. <https://www.scripts.com/script/dangerous_knowledge_6286>.
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