Afaik, the Planck Length is not a “real-world pixel” in the way that many people think it is. Two lengths can differ by an amount smaller than the Planck Length. The remarkable thing is that it’s impossible to measure anything smaller than that size, so you simply couldn’t tell those two lengths apart. This is also ignoring how you’d create an object with such a precisely defined length in the first place.

Anyways of course the theoretical world of mathematics doesn’t work when you attempt to recreate it in our physical reality, because our reality has fundamental limitations that you’re ignoring when you make that conversion that make the conversion invalid. See for example the Banach-Tarski paradox, which is utter nonsense in physical reality. It’s not a coincidence that that phenomenon also relies heavily on infinities.

In the 0.999… case, the infinite 9s make all the difference. That’s literally the whole point of having an infinite number of them. “Infinity” isn’t (usually) defined as a number; it’s more like a limit or a process. Any very high but finite number of 9s is not 1. There will always be a very small difference. But as soon as there are infinite 9s, that number is 1 (assuming you’re working in the standard mathematical model, of course).

You are right that there’s “something” left behind between 0.999… and 1. Imagine a number line between 0 and 1. Each 9 adds 90% of the remaining number line to the growing number 0.999… as it approaches one. If you pick any point on this number line, after some number of 9s it will be part of the 0.999… region, no matter how close to 1 it is… except for 1 itself. The exact point where 1 is will never be added to the 0.999… fraction. But let’s see how long that 0.999… region now is. It’s exactly 1 unit long, minus a single 0-dimensional point… so still 1-0=1 units long. If you took the 0.999… region and manually added the “1” point back to it, it would stay the exact same length. This is the difference that the infinite 9s make-- only with a truly infinite number of 9s can we find this property.

Now that’s an idea!

This is awesome! Portable identity management is one of the holy grails of federated services IMO, and this seems like an immediately usable Fediverse-applicable way to do it (as opposed to something like Solid Pods)

I love Into the Breach, I played it for quite a while on my pc. Never thought about it but playing it on your phone makes sense

You can always tell they’re insane just by their eyes

Love this game!

Even if this were true (which it’s not) it’s still better to have rights than to not have them

Same with weary/wary

mysteriously he have been canceled and the media system make him look like a sexual abuser

Hmmmm I wonder why??

It looks like he is just in the middle between “god” and “devil”.

LOL

Blocked. I recommend others do the same. This person is bringing nothing positive to your lemmy experience.

That means it’s someone you blocked

What a load of reactionary contrarian bs

WHAT THE FUCK IS A KILOMETERRRRRRR

Better than not doing it at all

That’s not what “axiom” means

Math doesn’t care about physical limitations like the planck length.

No

https://killedbygoogle.com/

Wow, that’s more than I thought!

Dice

[edge of pic] …your game

Determination

With enough tries, you will eventually roll a twenty

Cognitive Dissonance

He has a degree in statistics. But he will still roll a d20 five times at the game store and declare, “This rolls high. I’ll take it!”

Randomness

Trust in the oracular power of the dice

Sometimes in Life

You don’t know if you rolled the dice nicely