You laugh now, but just wait 3 years until this morphs into the next right-wing cult conspiracy theory…
i-anon
√-🤡
God I hate that this is an entirely plausible scenario.
Nah, I’m pretty sure they avoid maths like it’s dark magic
Well we did use it to carve runes into a rock and then convince said rock to think
Look at what mathematicians have been asking your respect for.
“Hello, I would like i potatoes”
How can we trust science when they say things like that?
You think one imaginary number is crazy? Just wait till you learn about quaternions. One real number and 3 imaginary numbers forming a four dimensional coordinate system. It’s the basis for quantum mechanics and most video game engines. Who thinks of this shit?
Quaternions? Basis of quantum mechanics? Pretty sure that’s not right at all. A lot of games use them for rotations in place of rotation matrices though I suppose.
Quaternions are not the basis for quantum mechanics. Biquaternions have some applications in quantum field theory, but there are many areas of quantum mechanics where there’s no need or space for anything above complex.
Oops my bad, it’s been a while. I thought the Hamiltonian used quaternions, but I guess that’s just complex numbers.
The Hamiltonian using Hamilton’s numbers? Now I think about it it is a bit silly that two entirely separate yet highly propinquitous concepts have such similar names. Physics really went downhill once humans started writing it down.
The general concept is called Spinors, Quaternions are just one representation. Here’s a great video on them. In physics they’re using them because they’re necessary (video explains), in computer graphics we’re using them because they’re algorithmically convenient, very cheap to compute and ignore that whole half-spin thing. It’s one of those instances where it’s cheaper to compute useless information and then throw it away as opposed to avoiding to compute it.
They’re also absolutely impossible to deal with when authoring stuff, as in rotating things in Blender, it’s just a representation on the backend. Quaternions would avoid gimbal lock but when authoring you really rather deal with that than a 4-dimensional hypersphere.
We owe “quatties” to hamilton, but there is a generalization of the process in case you’re curious: https://en.wikipedia.org/wiki/Cayley–Dickson_construction
Sounds like someone’s developing a…
( •_•)
( •_•)>⌐■-■
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C o m p l e x
Also mathematicians making them entirely self-consistent then using them in regular maths until we’re all forced to deal with them and accept them as normal
Instead of just admitting they were wrong
Imaginary numbers are math cope for when you’re too cool to just use two numbers.
I never got why they didn’t just introduce tuples in maths
They did, linear algebra and vector calculus are a thing, but complex numbers have certain properties that you don’t get with vectors and that are quite useful and worth studying.
For various math reasons you only get consistent systems with 2^n dimensions, so after complex you get quaternions with 4, then the next one that works is 8, then 16, etc. They become less useful because you lose various useful features, like you lose commutabiliy with quaternions (eg ab != ba), and every time you double you lose more things.
Jujutsu Kaisen characters pulling yet another ‘binding vow’ out their arse instead of learning to fight better.
It’s a long standing shonen tradition of ass-pulling
Actually it really looks like physic needs imaginary numbers to accurately explain reality.
https://www.sciencenews.org/article/quantum-physics-imaginary-numbers-math-reality
This was one of the points of contention with the quantum revolution of the beginning of the 1900’s, schrödinger came up with the equation, which fitted like a glove for a lot of scenarios, but it had an imaginary component, which baffled a lot of people since it could imply reality uses such numbers at a fundamental level
This is why some observers have noticed that religion, ‘the God of the gaps’ especially, is dying and losing any use or meaning, leading to less metaphysical thought in everyday life, that math and physics especially now use metaphysical thought is the primary tool of new understanding and discovery. Which is bringing it back into everyday life.
For some it’s the stock market instead of physics. Human brains are wired to invent patterns and meanings in places where there aren’t any.
Our theories fit reality only to some extent. Which is why they patch them with dark unicorns, even though it doesn’t help much.
And instead of admitting you can not solve a problem prove that it’s impossible to solve it
“Taravangian was here”
Taravangian the next day: “What was I thinking?”
Mmmmmm lies
Fucking pathethic, just admit you’re all wrong, they even made a bullshit-number-generator to keep making up new stupid-useless-made-up-numbers that serve no purpose at all in any discipline of science, it’s disgusting
I know this is a joke, but wrong about what, exactly? I don’t get it.
Also, and maybe this has something to do with the joke I’m not getting, the way complex numbers are motivated in school is a lie, and a stupid one. Mathematicians were perfectly comfortable with certain equations having no solutions; the problem was when their equations told them there were no solutions when they could see the solutions: the curve x3 - 15x + 4 crosses the x-axis, but Cardano’s cubic formula gives up due to negative square roots. Imaginary numbers were originally no more than an ephemeral reasoning tool, and were only reluctantly accepted as entities in their own right because of how damn useful they were.
Don’t read into it too much.
If I’m not meant to think about it until understanding emerges, then that means it should be immediately understandable without thinking. It is not.
It is, actually
The numbers are imaginary, thus theyte not real, thus the math magicians (not gonna undo autocorrect there) are wrong and refuse to admit it because they insist imaginary numbers are real
Don’t apply actual knowledge of what imaginary numbers are for this exercise
Ok, so this is a “joke” which is only funny to people who do not understand the context, and moreover jump to insane, unsubstantiated conclusions rather than expending an infinitesimal measure of effort to understand something they haven’t seen before. It’s active mockery of the very concept of being open to new ideas.
Little known fact: the imaginary numbers are the algebraic closure of the irrational numbers.
Is it not real numbers? eg x² + 1 = 0
Is this some joke I’m not getting? Cause yes, real numbers are the closure of irrational numbers, but imaginary numbers are just isomorphic to them.
You’re thinking of topological closure. We’re talking about algebraic closure; however, complex numbers are often described as the algebraic closure of the reals, not the irrationals. Also, the imaginary numbers (complex numbers with a real part of zero) are in no meaningful way isomorphic to the real numbers. Perhaps you could say their addition groups are isomorphic or that they are isomorphic as topological spaces, but that’s about it. There isn’t an isomorphism that preserves the whole structure of the reals - the imaginary numbers aren’t even closed under multiplication, for example.
You’re right, I mixed it up with the complex numbers being isomorphic to R^2. Thanks for clearing it up!
Love btw how I get downvoted for an honest mistake.
Like zero?
No, square root of -1. https://en.wikipedia.org/wiki/Imaginary_number
Bro, if you don’t like imaginary numbers then just don’t imagine them?
1*1=2 prove me wrong mathematicians.
If you have 1 of 1 bag of apples, you have 1 bag (1x1=1).
If you have 2 of 1 bag of apples, you have 2 bags (2x1=2).
If you have 3 of 1 bag of apples, you have 3 bags (3x1=3).
And so on…
