Jonen C
F.M.D.G.
- Location
- Lincopense, Ostrogothia, Suecia
Ergo she can donfalse color imaging overlays on real life.
And all this talk if math apples.
I feel like [BGM: Bad Apple]
Ergo she can donfalse color imaging overlays on real life.
Maths! I love maths!
Alright ladies and gentlemen! Step up and learn about the Banach-Tarski paradox!
Let's imagine we have a ball. This is a mathematical ball, not a physical one, so it's made out of grid lines and geometry, not rubber and matter.
Our ball is made of infinitely many points. There are different kinds of infinity, and the one we have here is "uncountable". That's important because it means that while we can hope to put the points in some kind of order on a line, we can't make progress down it. I can count by finite numbers to get to 4. "1, 2, 3, 4." I can at least TRY to count towards the countable infinity of the integers. "1, 2, 3, 4..." but I'll never finish. I can even count by the rational numbers through a pretty nifty and clever diagonalization method that has me go "0, 1/1 and its negative, 1/2 and its negative, 2/1 and -, 1/3 and -, 2/2, 3/1, 1/4, 2/3, 3/2, 4/1..." and so on. And that will make sure I don't miss any, even though I still can't ever finish because I don't have infinite time.
But against the uncountable infinite of the real numbers, I can't even get started. I mean, sure, zero is the obvious place to start. And whenever we say a number the next one should automatically be its negative, so we count both ways at once. But where do you go next? Any choice is just as wrong. If we try our clever diagonalization again, we can prove we're missing some of the points.
Uncountable doesn't mean there's so many of them that you'll never finish if you try. It means you can't try.
So, we have this ball. And it has uncountably infinite points. It has that many points in a finite volume which is what makes it different from an apple.
We're going to cut it in half. But we're not going to cut it in half like a knife through a melon. We're going to pixel blur it, grab apart the even and odd pixels, and then increase the resolution of that pixelation to infinity to get uncountably infinite pixels, to decide which ones are part of which ball.
If I take this ball:
And I divide it like that, you intuitively expect it would be half as dense, since I took every "even" point, and we expect conservation of mass.
Except that's how real apples work, not math apples. Math apples have an infinite density of points. So when we make it half as dense to cut our second ball from, the new density is still infinite. Which means nothing has changed but now we have two balls.
The step where you increase the pixel resolution to infinity to map pixels to points is the part where you need infinite computing power. If you have the axiom of choice, you assume someone's done that for you and you can just declare your sets as you wish by defining your means to pick them, even if it would take forever to do. If you try it with a real apple, you get two piles of apple-smelling ashes of equal size. Or possibly some kind of nuclear binding force reaction that blows you up for E=(apple)C^2 of damage. Which is a lot.
It's correct, and more rigorous than my explanation.
Actually, if he can do that and is not returning the cleansed grief seeds, then he is artificially creating a scarcity.
But also for staging kaiju battles.We need to ask Yuki if she can make her buildings animate and walk around.
For science reasons. Not so that we can stage kaiju battles.
What's Yuki's magic's definition of a building? Can she control a dollhouse?
"Holy shit she did it."All this math dicussion with apples is going to result in Sabrina ordering apple pie or something and wondering if she can make the pie into TWO pies.
Everyone else: Sabrina....
Yuki: Is she always like this?
Mami: Yes
"Holy shit she did it."
*Nods nods*
*Passes 'second' pie to Sayaka*
*Shares 'original' pie with Mami*
*Noms pie with Sabrina*
*Looks at 'second' pie*
*Also looks at pie*
*Shoves pie into Yuki's hands*
"Here, courtesy."
*Shoves pie back*
"No need, I'm fine."
*Shoves pie back*
"I insist."
*Shoves pie back*
"No need!"
*Pie is shoved back and forth*
"Seriously, you must have this pie!"
"I must not have this pie!"
"Well I'm not gonna eat this thing of mysterious origins!"
"And I should?"
"You're a meguca, you'll be fine!"
"I'm a what?!"
"A magical girl!"
"YOU are a magical girl, too!"
"Just take the pie!"
*Shoves!*
"No!"
*Shoves!*
"Shit-!"
*Pie goes flying...*
*Catches pie with a claw*
*Eats pie whole*
"Hmmm! Fractal pie! No calories!"
*Leaves*
"..."
"..."
"I swear she exists to make my life worse."
"... I kind of want pie now."
#########[x] Yes, that's right Airi, it's indeed me
-[x] I know that really you'd rather be free
-[x] But your behaviour remorse doesn't indicate
-[x] When it comes to plots you're totally implicate
-[x] I made a deal, got you some plush confinement
-[x] Let me know if you're gonna switch alignment
-[x] Till then just please sit tight in Fukushima
-[x] Brainstorm yourself a less awful schema
-[x] Hold your questions to the end I'm not done yet
-[x] I'll keep up my promise for Yuuri don't you fret
-[x] Clear or Salted, really up to you to decide
-[x] Pick how you want her Seed it'll be supplied
-[x] And while I'd appreciate your cooperation
-[x] This is gonna be a slow and careful operation
-[x] You can pout and call me arrogant
-[x] But your behaviour's pretty unintelligent
-[x] So, wanna be free?
-[x] Don't test me.
150 words, asGodFirnagzen intended.
I mean, being able to use it as a mnemonic to generate (volume of) grief is still a win. I'm honestly curious if we can generate even a simple fractal, though.
We need to house our computation device in a mundane anchor. We use a book. Then, it is time to share enchantment with Homura to program our construct. Between our "arbitrary book generation ability" and Homura's "protect Madoka" imperative and info skills, it's a lock. With amazing effort, the book will become our first active Grimoire. The "Young Ladies Book of Grace." A strong AI that exists to advise and support the owner to perfectly anticipate and avoid any hazard from the supernatural system, while training her emotions and reasoning through education until Kyuubey cannot manipulate her.infinite computation, then what you need is a mechanical computer, made of grief, that can itself control grief.
(It's rod-logic all the way down)
And, thus, exactly it is a good idea!I'll point out that, to the best of our knowledge, our grief may well have infinite energy. The actual limits of our energy supply and power-output are difficult and dangerous to test --- and formulating a safe test would be quite valuable --- but we can certainly apply oodles of force and enough light to vaporize a car without appreciably diminishing the volume of a marble.
I put that as session-two goals.
More seriously, I think the ability to apply our grief-kinesis to an enchantment depends a lot on exactly how it works and so I kinda want a better handle on what exactly our grief-kinesis is doing in order to provide a basis for such an enchantment.
After all, if we're taking control of our own barrier and witch-flesh that implies very different things than if we're turning grief into a solid substance. In the first case the metaphysics may require a thinking being to control it --- necessitating either an A.I. or a item to imbue others with our own power --- while the second might not and can be applied to essentially just a rock.
What I think we should make is an object that removes Grief from a Soul Gem and expels it as a grief cube.
Once we've made that, we need to copy it a bunch -- perhaps Sayaka can make us an enchantment-copying enchantment?
Combine those two magic items and we can adfligo the system pretty thoroughly.
Last time, we were just generally trying to produce an enchanted object, and we had no intent to use it for grief control:
We are not going to steal the statue of liberty for the ultimate showdown against Walpufft marshmallow.We need to ask Yuki if she can make her buildings animate and walk around.
For science reasons. Not so that we can stage kaiju battles.
The claims that Azure Sanfrancisco has anything to do with Sabrina Vee are nothing but cruel slander!We are not going to steal the statue of liberty for the ultimate showdown against Walpufft marshmallow.
Or any other monunent.
I realise you should never explain the joke, but I'm genuinely confused...is that a reference to Carmen Sandiego?The claims that Azure Sanfrancisco has anything to do with Sabrina Vee are nothing but cruel slander!
Yes, it's been joked about in story before.I realise you should never explain the joke, but I'm genuinely confused...is that a reference to Carmen Sandiego?
I realise you should never explain the joke, but I'm genuinely confused...is that a reference to Carmen Sandiego?
It's come up in the story.
For the record, I'm English. I don't know if that show ever aired over here. Literally everything I know about it came from vague internet rumours and in-jokes.Nah. Some other guy. Name of Shit Sherlock, first name No. [/dbza]
Huh. Checking, it did come up. All of twice, in throw-away lines. I think I can be forgiven for not remembering it.
And as much as anything else, you're terrified of what she might blurt out, with Mami here. One of the biggest reasons you need to get Anri away is to keep the nature of Witches away from Mami and Sayaka and Madoka.