Post by twetch#1832

Replying to #d5036142, a post that isn't indexed yet.

1Jj8Ts…sGot Key · twetch

As I keep saying, you are trying to map Euclidean objects onto discrete space. That's a mistake. If space is discrete, lines are composed of points.

In this example, the "lines" are somehow magically between the points in continuous space.

What the chain says
Block
662 416
Time
2020-11-22T16:57:45Z
Signer
1Jj8TsZnm1bosAJFjkbS8J2MckEGx6sGot
App
twetch
Type
post
Content type
text/plain
Name in tx
twetch#1832

Fields the transaction did not carry are omitted. Open the payload to see the bytes as stored.

Signed by 1Jj8TsZnm1bosAJFjkbS8J2MckEGx6sGot Verified

Replies (7)

1Jj8Ts…sGot Key · twetch
Replying to@1Jj8Ts…sGot

Second, the Pythagorean theorem gives you a number that's relevant in Euclidean space. In discrete space, it doesn't work. There isn't enough information (i.e. there are changes in two dimensions that cannot be capture by a single number)

1Mi4SX…4SM2 Key · twetch
Replying to@1Jj8Ts…sGot

Mapping from euclidian to discrete space worked reasonably fine for quite a while now, and a few people used pythagorean theorem in this seemingly discrete world - no pi, no squares, no negatives, maybe it's fun, maybe it's true, don't think it's useful

1Mi4SX…4SM2 Key · twetch
Replying to@1Jj8Ts…sGot

Mapping from euclidian to discrete space worked reasonably fine for quite a while now, and a few people used pythagorean theorem in this seemingly discrete world - no pi, no squares, no negatives, maybe it's fun, maybe it's true, don't think it's useful

1Jj8Ts…sGot Key · twetch
Replying to@1Mi4SX…4SM2

Right - Euclidean geometry is arguably the most practical mathematical theory of all time.

But like the Ptolemaic model of the solar system, "practicality" often does not translate into "truth," and I'm interested in truth.

1Jj8Ts…sGot Key · twetch
Replying to@1Jj8Ts…sGot

Geocentricism worked just fine for a long time. But eventually, it needed to give way to superior theories.

Discrete space will be the same. Already useful in physics, and it will become more important as micro-microtech improves.