Tag Archives: natural numbers

Smooth or Bumpy

vu metersLast time I wrote about analog recording and how it represents a physical chain of proportionate forces directly connecting the listener to the source of the sounds. In contrast, a digital recording is just numbers that encode the sounds in an abstract form. While it’s true that digital recordings can be more accurate, the numeric abstraction effectively disconnects listeners from the original sounds.

In the first month of this blog, I wrote about analog and digital and mentioned they were mutually exclusive Yin and Yang pairs (a topic I wrote about even earlier — it was my seventh post).

Today I want to dig a little deeper into the idea of analog vs. digital!

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Infinity is Funny

You probably have some idea of what infinity means. Something that is infinite goes on forever. But it might surprise you to know that there are different kinds of infinity, and some are bigger than others!

As an example, a circle has an infinite number of points. (Yet the circumference of the circle has finite length.) Compare that to a straight line with infinite length. Both have infinitely many points but does the finite length circle have fewer? [The answer is no.]

To understand all this, we have to first talk a bit about numbers.

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