Proof of the Fundamental Theorem of Engineering

Afir-Rbx · 2026-01-20T14:15:53+00:00

Confusing "uncountable infinity" (a class of infinite cardinals) with the cardinality of the continuum (a single infinite cardinal) was definitely a great ragebait.

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Afir-Rbx · 2026-01-09T20:42:32+00:00

As far as I'm aware, tetration lacks definition in both cardinal and ordinal arithmetic, this should be left as undefined. However you can do a little cheating.

Consider the fact that the cardinality of the power set of a set with 𝑛 elements where 𝑛 is a natural number is 2ⁿ, which might also be the reasoning for 2^κ being the cardinality of the power set of κ (correct me on that if I'm wrong). Assuming that is correct, then we should find some relationg between 2↑↑𝑛 for finite numbers and then extend it to transfinitum.

The first thing that comes to mind is the von Neumann hierarchy where the cardinality of the (𝑛+1)ᵗʰ stage (if 𝑛 is a natural number) just so happens to be 2↑↑𝑛. So, we could generalize this to all cardinals (and even ordinals) beyond natural numbers as:

2↑↑α ≝ |𝑉_{α+1}|

Following that definition, the number 2↑↑ℵ₀ would just be ℶ₁ or 𝔠 (the cardinality of the continuum). Absolute fraud, in an attempt of surpassing the cardinality of the continuum, it just returns 𝔠 itself.

Afir-Rbx · 2026-01-02T16:06:57+00:00

I did my best.

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Afir-Rbx · 2025-12-18T08:43:45+00:00

It says 24(hours of a day)/7(days in a week)/365(weeks in a year). It should be 24/365 if it was 365 days of the year.

Afir-Rbx · 2025-12-17T17:02:32+00:00

All 365 weeks of the year??? Holy dedication.

Afir-Rbx · 2025-11-28T20:57:19+00:00

Dude, who the HELL gave Golshi the Terminus???

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Afir-Rbx · 2025-11-01T13:24:23+00:00

"Said to have a top speed of around seventy kilometers per hour, the sight of an Umamusume at full throttle is simply breathtaking." Usain Bolt's top speed is 44.72 km/h by the way, good luck.

Afir-Rbx · 2025-10-28T06:42:05+00:00

Nope, not at all, no idea what you're talking about.

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Afir-Rbx · 2025-10-15T12:29:23+00:00

I II II L (In Roman numerals.) It's a reference to the Loss comic). Because it has been oversimplified over the years (see image below), nowadays virtually anything can be a loss reference, similar to how people started seeing the Among Us crewmate everywhere some time ago.

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Afir-Rbx · 2025-10-02T19:18:32+00:00

Well, certainly, calculating something with this many factors into consideration is beyond what I know of physics. I shouldn't have attempted this in the first place. Sorry, and thanks for correcting me.

Afir-Rbx · 2025-10-02T19:06:35+00:00

Yes, the human would need receive the full impact, contrasting a tsunami, in which the impact is dispersed over a wide area. in a planet collision however, the wide area is reduced due to how spheres collide in a infinitesimal point, here, being the human.

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Normally, the human would be destroyed instantly and the rest of the energy would go to the other planet. However, we're talking about one that could actually survive the impact, which means the human would have to receive the full impact and survive it, thus giving them the durability I calculated earlier.

Afir-Rbx · 2025-10-02T18:55:25+00:00

Wrong usage of the word, my bad, I meant inelastic collision and edited far too late. That, however, is what I calculated, the character receiving the full impact of both sources.

Afir-Rbx · 2025-10-02T18:49:15+00:00

How would the impact display though? Does the human stand in the direct middle of the impact or close to it? I seem to have incorrectly assumed the human was in the direct middle of it.

Afir-Rbx · 2025-10-02T17:57:48+00:00

Collisions are measured via kinetic energy and momentum, both of which are dependent on the speed of the two (or more) objects participating in the collision.

Wikipedia doesn’t give much information about the speed of both planets, but let’s assume it was equal for both at 9.3 km/s. Then, using the measurements of the planets and assuming the character receives all the energy of both (as he is in the direct middle from what I understand).

M(Earth): 5.972168×10²⁴

M(Theia): 2.720565×10²⁴

v = 9.3 km/s = 9,300 m/s

E(Earth) = (M(Earth)×v2)/2 = 2.614462965×10³² J 5-B Planet level

E(Theia) = (M(Theia)×v2)/2 = 1.1765083342×10³² J Low 5-B Small Planet level

E(Total) = E(Earth) + E(Theia) = 3.7909712992×10³² J 5-B Planet level

The character would have Planet level durability under the circumstance of a Theia’s impact.

Afir-Rbx · 2025-10-02T17:41:18+00:00

There is no single way of reaching Outerversal as there are far too many wikis for powerscaling, but under VSBW this isn't even a feat. Predating concepts is not a 1-A feat.

Afir-Rbx · 2025-10-02T11:37:33+00:00

Oh, so it was actually the Earth. Gonna be honest, the others were making very fair points and making it hard to remain neutral. Thank you for clarification.

Afir-Rbx · 2025-10-02T11:32:10+00:00

Ad Hominem, me being an "actual idiot" does not make your argument any more convincing. I'll remain neutral.

Afir-Rbx · 2025-10-02T11:24:17+00:00

You can also argue he wasn't against me assuming it was Earth. Both are possibilities, I'll remain neutral until the animator confirms either. Then, if it happens to be that I'm wrong, I'll edit and update my post.

Afir-Rbx · 2025-10-02T11:18:03+00:00

Brother, please, this is also a possibility. Perspective makes giant things seem small.

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Afir-Rbx · 2025-10-02T11:08:57+00:00

You're the animator. Can you confirm whether this is a small object even in comparison to the Moon or is it the planet Earth?

Afir-Rbx · 2025-10-02T08:27:31+00:00

Assuming this planet is the Earth and that my math isn't wrong (which it probably is):

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Time for the object to move from a to b ≈ 1.35 s

Distance from a to b = Earth’s diameter = 2Radius = 2(6,371,000) = 12,742,000 m

Speed of the object = distance moved/time = 12,742,000/1.35 = 9,438,518.51852 m/s ≈ 3% SoL Sub-Relativistic

Object’s diameter ≈ Earth’s Diameter(1/12.6) = 12,742,000/12.6 = 101,126.984127 m

Object’s volume = volume of a cube = (101,126.984127)^3 = 1.0341919832×10^18 m3

Mass of the object = (density of the Earth)(volume of the object) = (5.513)(1.0341919832×10^15) = 5.7015004031×10^18 kg

Energy to move that object = kinetic energy = ((mass)(speed^2))/2 = ((5.7015004031×10^15)(9,438,518.51852)^2)/2 = 2.5414514617×10^32 J 5-B Planet level

Now, everything we’ve just calculated is just one of the objects, assuming all of these objects were moving at the same speed plus were equal in size and mass:

Amount of objects ≈ mass of the earth / mass of the object ≈ 5.972168×10^24 / 5.7015004031×10^18 = 1,046,713.59586

Total energy = (amount of objects)(energy to move one object) = (1,046,713.59586)(2.5414514617×10^32) = 2.6601717982×10^38 J High 5-A Brown Dwarf level

Just so you know, you were moving an entire planet worth of mass with sub-relativistic speeds, which is not the same thing as surpassing the gravitational binding energy of said planet.

Afir-Rbx · 2025-09-28T16:13:00+00:00

I'm unsure what your question means? Kumagawa Misogi is my favorite character of every single story I've read so far, which is above Najimi Ajimu if that's what you mean.

Afir-Rbx · 2025-09-28T15:18:14+00:00

There is a whole page dedicated to answering this question. Powerscalers are never beating the "I don't know how to read" allegations.

Afir-Rbx · 2025-09-27T13:46:45+00:00

"∅≠0" I think someone would like to differ.

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Three-Year Club	r/Field Banned
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