Chris Liss on Nostr: A line is not a physical thing, so the imaginary ruler is not either, so the Planck ...
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.
Published at
2025-01-04 10:28:30Event JSON
{
"id": "8ea0fc956bbbf0ac2ffe0b35a4fe92a0e08ea0e6584e2081ef847e8a1861a548",
"pubkey": "6ad3e2a34818b153c81f48c58f44e5199e7b4fc8dbe37810a000dce3c90b7740",
"created_at": 1735986510,
"kind": 1,
"tags": [
[
"e",
"79e2e021c8b8af490f1e2f6cdc3ad9c184cc1c49472ce9510cd34446af911430",
"",
"root"
],
[
"e",
"05fdb122fc950c10993a9ffbcbf3e28058b530c8257a1825d850d784610626fb",
"",
"reply"
],
[
"p",
"21580a98aaf64f7d66705abe7bf7a7acf4ee440fcf6b59d0b76e16217824d895"
],
[
"p",
"6ad3e2a34818b153c81f48c58f44e5199e7b4fc8dbe37810a000dce3c90b7740"
],
[
"client",
"Nostur",
"31990:9be0be0fc079548233231614e4e1efc9f28b0db398011efeecf05fe570e5dd33:1685868693432"
]
],
"content": "A line is not a physical thing, so the imaginary ruler is not either, so the Planck length limit isn’t really relevant. \n\nPi is absolutely a number on the line, and the imaginary ruler can’t mark it, no matter how fine its units of measurement.\n\nThe 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. \n\nThe ratio of rationals to reals is zero. The ratio of map to territory is zero. AI to Tao is zero. ",
"sig": "cfb3c2548ee7b8f1f70643cf879ca1d3c98ede4cb7d2a15a2e6aa9c421a3edba99242d30ee9f923cde745061326a771cac651940af98cdb44ac8dbceb2c80854"
}