not merely as a body of abstract
but as a world whose beauty
should command the interest of
the elders and the youth.
through which we better can express the
facts of the natural world.
Because of this I value anything
that translates the numbers
into practical and usable forms.
Because of this I value anything
that translates the numbers
into practical and usable forms.
But a machine is not a thinking being.
It simply acts according to the
of the mathematical sciences
Although on first consideration,
maybe it seems to be the province
by the movement of material things
Just like the fingers on your hand,
count the songs the equation sings
Just like the fingers on your hand,
count the songs the equation sings
But a machine is not a thinking being
It simply acts according to
I know, I know, I know, I know
Let us imagine a vertical column
made of a hundred metal circular disks
All pierced through their center
allowing each disk to independently spin
If round the edge of every disk is written
the number 0, 1, 2, and up to 9
We can arrange the figures vertically,
expressing them in matter
just like we can express them in the mind.
We can arrange the figures vertically,
expressing them in matter
just like we can express them in the mind.
Now let us imagine a second
just like the one described before.
One could relate them arithmetically,
displaying the solutions on a column
duplicating these rigid numerical machines.
But a machine is not a thinking being.
It simply acts according to the
I know, I know, I know, I know,
I know, I know, I know, I