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The Lisps
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Thinking
I view mathematics not merely as a body of abstract and immutable truths,
But as a world whose beauty and symmetry should
Command the interest of the elders and the youth.
No other language exists through which we can better 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 laws imposed upon it.
Labor, which belongs to the various branches of the mathematical sciences—
Although, on first consideration maybe it seems to be the province of the human intellect.
Mathematical meaning may be expressed by the movement of material things;
Just like the fingers on your hand, the gears of the machine count the songs the equation sings.
Just like the fingers on your hand, the gears of the machine count the songs the equation sings.
But a machine is not a thinking being—
It simply acts according to the laws imposed upon it.
Thinking—I know, I know; I know, I know;
I know, I know; I know, I know;
Thinking—I know, I know; I know, I know;
I know, I know; I know, I know;
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Let us imag'ne a vertical column made out of a hundred metal circular discs
All peirced through their center by an axis allowing each disc to independently spin.
If around the edge of every disc is written the numbers zero, one, two and up to nine,
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 imag'ne another vertical column just like the one described before.
One could relate them arithmetically displaying the solutions on a column number three or number four.
Proceeding ad infinitum duplicating these rigid mathematical machines,
They could interact in a way more complex than any of us could possibly have dreamed.
They could interact in a way more complex than any of us could possibly have dreamed.
But a machine is not a thinking being—
It simply acts according to the laws imposed upon it.
Thinking—I know, I know; I know, I know;
I know, I know; I know, I know;
Thinking—I know, I know; I know, I know;
I know, I know; I know, I know;
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