How much fucking sense does fucking transfinite arithmetic actually makeThis feels like a hallucination from set theory when you squint at the definition of what a set really is and you realize that "the axiom of choice" means a whole lot. Maybe a whole lot of bullshit like thisHere's just a bunch of thoughts that I have in my head about this:1. The idea of what a number is has been re-established and blew everyone's mind into a million pieces more than once2. Topology is generally the bedrock of mathematics that's impossible to get around3. Topology is basically just homotopy type theory which re-evaluates all existing notions about what math is and says that it's all just made of spheres / circles4. Circles and spheres map onto eachother (infinitely)5. Integer numbers are not created equal and adding a new degree / dimension to something causes entirely new paradigm shifting algebraic propertiesAll of this gets around to saying that the idea of multiple / "bigger infinities" might make sense if it all of reality looks like a bunch of spheres stuck inside eachother. Like Russian nesting dolls.Loop goes around a 2-sphere like a hula-hoop forever. The addition operation is defined forever because it just goes in a circle for eternity.In no way in conflict with this is the fact that a 2-sphere is also infinite, it's "bigger" because it contains another thing with no bound and also it works differently. It is exactly one rung higher up on the ladder.For anyone that doesn't know much about transfinite arithmetic, it is 10x more fucked than you're even capable of imagining.You've heard aleph number and beth number, but there are probably 15 other numbers / functions / things that you have never even heard of. And it gets weirder every single time.
>>17033482its not useful in any way except for trolling schizophrenic miggers
>>17033737You can say nigger on 4chan, if you’re so inclined; changing the number of arches from n to m is neither necessary to sow your seeds of racism nor sufficient.
Bump
>>17033737you will never redefine MIGGER as math+nigger. It will always refer to MIGA niggers, that is Trump and his zionist sycophants.
>>17033482surreal numbers are superficially sane. They also have a straightforward way of highlighting transfinite applications that are less esoteric.Take any kind of system that has a priority metric. If an event of class A (for example a life threatening emergency) must be of a priority that is categorically unachievable for class B events (for example, a social commitment)
>>17033778>more politics-brained spamWow; yes; out of all the presidents in the last 33 years, Trump is so uniquely sycophantic to Israel that it's definitely worth worshipping him even further by inventing an parody acronym, spamming it into nonpolitical discussions, then circling back to explain your own parody in the third person.
>>17033791it's your slopsessed ilk that uses a term that was already common vernacular on 4chan before your faggot LLM shit became the newest hype garbage for pseuds, frauds and tourists to latch onto. Don't like the association? Come up with something original rather than appropriating existing assets- oh wait.
>>17033798No amount of ex post shoop will convince me that you >>17033798 and the other two posts I replied to >>17033737 >>17033778 aren't the same anon spamming your identical brand of hivemind, politics-brained garbage.
>>17033737you lost tranny
That's great anon but you gotta publish a paper or write an equation
>>17033816I'm just asking questions about what the fuck is happening.Someone tell me if that makes enough sense to write a paper about.
>>17033807>more politics-brained spamJesus fucking christ; what is it with politics-brained non sequuntur being shoved up our collective ass ever since the insectifacient zeitgeist of reality TV?
>>17033819Just the doomsday device of the attention economy doing its thing. Aren't you glad it's now Powered By AI
>>17033482Yes its jewish fever dreams basically.
We can renormalize by converting an axiomatic bound into a quantity but we cannot do it the other way. So "they" tell me.What the fuck is going on.
>>17033482>Circles and spheres map onto eachother (infinitely)you have a continuous map from the sphere onto the circle? may I see it?
>>17033911I think I fudged the terminology and what I meant was "double cover".It's certainly not an isomorphism.I can point you to the Riemann sphere. It claims that a point at infinity (like a function diverging linear function) is a valid mathematical object in a map like this.
>>17033911Bro thinks they are homeomorphic
Its useless , like most of math.
>>17033482Go research the Aleph series.
