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2025-01-04 17:19:32

Slate on Nostr: For those of us who forgot what we were supposed to learn in algebra, or apparently ...

For those of us who forgot what we were supposed to learn in algebra, or apparently never even got past pre-algebra, Pi is a mathematical constant representing the ratio of a circle's circumference to its diameter. It is an irrational number, approximately 3.14159 but goes to ♾️. In geometry, numbers like pi can be **used** to define points on a number line, but pi itself is **not a physical point.**
A line is not a physical thing, so the imaginary ruler is not either, so the Planck length limit isn’t really relevant.

Pi is absolutely a number on the line, and the imaginary ruler can’t mark it, no matter how fine its units of measurement.

The analogy is between one degree of infinity, the kind you can get by dividing by ever smaller rational numbers and a higher order kind (real numbers) which represent every point on a line.

The ratio of rationals to reals is zero. The ratio of map to territory is zero. AI to Tao is zero.
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