What a retarded paradox. Why wouldn’t infinity fit inside infinity? That’s the whole point. There’s no such thing as infinity + 1
>>17010544>There’s no such thing as infinity + 1mostly true>Why wouldn’t infinity fit inside infinity?it does>What a retarded paradoxWhich one?
>>17010545Based on the image, I'm pretty sure he's talking about Hilbert's Hotel.Probably some simp-bait pop-sci YouTuber made a bad video on it.
>>17010544>picGod, I wish I could find a chick as cute and actually had personality like her
A singularity fits inside an infinity large Universe. Checkmate Chuds. >>17010544In mathematics and physics, infinity does not mean a single "gigantic number." Instead, it describes a boundless state where a value grows or shrinks without any limit.Here is how the same mathematical concept applies to both the infinitely large and the infinitely small.Mathematically, infinity is the absence of a limit. It is a concept, not a place or a number. It describes any quantity that surpasses every assigned boundary. To say something is infinite means you can never finish measuring it.The Universe (Infinitely Large): This is divergent infinity. If you travel in a straight line forever, you will never hit a wall. Space keeps adding more space. The quantity of volume grows without boundA Singularity (Infinitely Small): This is convergent infinity. A singularity contains a massive amount of matter crushed into a point with zero physical size. The volume shrinks without bound Because density is mass divided by volume, dividing by a volume of zero forces the density to become infinitely large.Why They Are Mathematically Identical Both concepts share the exact same mathematical definition because both represent the collapse of measurement.The Loss of Scale: In standard math, numbers only have meaning when compared to other numbers.
>>17010592who?
>>17010592>>17010544Doesn't this chick have an OF?
>>17010544infinity is jewish magic you cant question it
>>17010622Then why does the paradox treat infinity as if it were a number?
>>17010729Infinity is literally not a number, as I stated it's a word that means "a boundless state where a value grows or shrinks without any limit."I was studying Penrose's CCC model of The Universe and the concept came up. In Conformal cyclic cosmology The Universe ends it's cycle after all matter has been sucked into black holes and all the black holes then disappear via Hawking Radiation. leaving a completely blank void of matter. Since you then loose all reference to size you have nothing to compare it to, no ruler exists to measure. So in Conformal Geometry this makes that state of The Universe identical to the singularity of the Big Bang, and The Universe cycle repeats. I was very confused how both could be the same until I realized "infinity" isn't a number it's simply a description of a type of void that exists outside all numbers and math who's main property is it can't be measured since it has nothing to measured against. Forgive me if I messed up any CCC description i'm still learning. Anyways, when you realize this a whole new world of ideas opens up like the idea that a black hole singularity is not a tiny point, it's literally nothing. Mathematically speaking a singularity and a boundless expanse are the same thing. So you could, in theory, have a boundless universe inside a black hole's center.>Hilbert’s Hotel ParadoxNonsense and applying flawed logic and reasoning to an abstract math concept. It proposes "every room is filled, then another guest comes." But if "every room is full" it can't be infinite. In reality once a person checks in a new empty room would spawn. It could never be full in the first place. >Galileo's ParadoxI don't understand this, look into it later, sounds stupid. >The Ross-Littlewood Paradox (The Infinite Vase)Confusing, need to look into it, but seems to follow what I said above. > Zeno’s Paradoxes (The Infinite Race)seems illogical on it's base, but I will look into it and report back
>>17010640Kool Cammy
>>17010729>https://en.wikipedia.org/wiki/Extended_real_number_line
>>17010737>>17010737I'm not a physicist and can't speak for any of that but this isn't how mathematicians describe infinity at least. "Infinity" is just the size of a nonfinite set. For instance, the integers, natural numbers, and the rational numbers are all "countably" infinite. They have the same size, denoted aleph_0.You can prove the real numbers are strictly bigger in terms of how we define different sizes of infinity, and even do arithmetic like addition and multiplication of infinities and have it be well-defined.Google "cardinality", "cardinal", "bijection", and "Cantor's diagonal argument" for more.
>>17010728>>17010737>>17010823The problem with modern math is that cantor defined actual infinity as existing, when it clearly isn't. Only potential infinity exists. You can't say: Oh yeah we a assume this thing exists and has infinite many parts.So yes as you said, the Hilbert hotel can't actually be ful. In fact it would take an infinite amount of time to get every guest move one room. So after one extra guest moves in, one person would always be switching rooms having none forever. So it would be a trick to get the illusion everyone has a room now but it would just be changing people with no room.>>>17010787
>>17010993>it would take an infinite amount of time to get every guest move one roomNot if they all move at the same time, genius
>>17011003How can they all know? They cant. Since there is a real distance between every room and information cannot be send instantly it take an infinity to notify everyone. So if the first waits until everyone gets the memo he is dead before he can move in. So this is not possible, which means it has to work per induction as i described earlier which also means if 1 moves in its just constantly one changing room.
>>17010993>>17011025>>17010823I spent HOURS deep diving all the alleged paradoxes of infinity and all were based on semantic word games and misrepresentations of what infinity is and other such verbal tricks paired with logical fallacies. "Countable Infinity" and many other buzz word terms that make mathematicians hard but are a meaningless words. Infinity is a boundless state beyond measure. For example I present the following. Zeno's Paradox, Achilles and the Tortoise:The paradox is a misrepresentation of reality to confuse and invent a paradox where non exists. It simply explains how time is infinity divisible. This is not a paradox, it's the nature of time. Just like there are an infinite amount of numbers between 0-1 so there are an infinite moments in time from 0 minutes to 1 minute. There is no paradox and Achilles over takes the tortoise quickly. Hilbert's Hotel Paradox:As I stated, if it has infinite rooms it can never be full, no guests would ever have to move, there would simply always be a new unused vacant room both before and after every guest arrived. So here again we've twisted the facts to make a paradox where none exists. Ross-Littlewood Paradox:Also just showing how time is infinitely divisible using the same trick as Zeno's Paradox to confuse smooth brains. It, like Hilbert's Hotel, is logically inconsistent to make a paradox where none exists using this logic, "You repeat this forever. When noon arrives, how many balls are left in the vase?" So how can one "repeat this forever" and also "noon arrives"?? Both can't be true. If noon arrives you haven't repeated it forever and if you repeat it forever noon never arrives. Not a paradox
>>17011078Thomson's Lamp: THE EXACT SAME LOGICAL FALLACY/TRICK AS ROSS AND HILBERT! It's just showing time is infinitely divisible and then telling you to do an infinite amount of tasks and asking you the result at the end of the infinite amount of tasks but if it ends it's not infinite and if it's infinite you can't measure it's end state because you never stop doing the task. Simple, no paradox. Gabriel's Horn (Torricelli's Trumpet):A mathematical fiction that tries to apply an esoteric math graft to the idea of real world 3 dimensional paint. nonsense and not a paradox as much a schizo ramblings of a made man that mean nothing. The Infinite Dartboard Paradox:It's only a paradox if the dartboard is infinite and the starting position of the dart being thrown has an infinite set of places it can be thrown from. Even if you say both the dart board and the dart thrower can occupy an infinite number of throwing and receiving positions it solves the "paradox" as the chance of hitting the dart board mathematically is 0, when both the starting position and the ending position are from an infinite set we can safely conclude the dart DOES NOT HIT THE DART BOARD as the math tells us so. HOWEVER! If the dart is thrown from a known position or even a finite set of known positions, say from anywhere on Earth, this limits the scope of the infinite dart board the dart can land on as the dart has a starting position, Earth, a known angle and speed and we can calculate the effects on it in flight to find the exact spot or area it will hit. NOT A PARADOX!!It's already too long. Post more paradoxes and I will try to deboonk them. K?
>>17011025Any hotel like that obviously has spukhafte technology they can use to communicate things. Otherwise almost every guest would die before they could find the complimentary breakfast buffet, and the estates of all the dead guests would sue for wrongful death and false advertising, and the hotel would already be out of business. Dumb ass.
>>17010622>a boundless state where a value grows or shrinks without any limitThat violates the Laws of Thermodynamics. This is as real as Maxwell's demon.
>>17011156It doesnt have to be about feeding and things like that. Thats not what the paradox is about. Its about filling up, and my physical argument shuts you completely down. Eighter you have always one moving or you need instant information travelling through extreme distances.Oh and if your argument is "but dude its not about the real world its some fictionary math world" then yes, thats exactly my point. Actual infinity doesnt exist, its some fictionary math that should never have been defined.
>>17011214I mean you say it should never have been defined but it's objectively helped us do plenty of physics. Physics is just modelling real phenomena with math, and if certain definitions help us model and predict real phenomena, isn't that good?Cardinality of certain hilbert spaces comes up in QIT for instance
>>17011214>instant information travelling through extreme distancesLol. What do you think spukhafte technology means?Dumb ass /biz/ bear. Are you mad that you liquidated your extended family's entire net worth on your leveraged-long shitcoin position?
>>17011232I think math should stay on the basis of common sense and reality. I dont know enough about QIT to comment on that.>>17011238Oh i did not know you gave spukhafte a new meaning...im German and it just means spooky, thats how i did understand it. But if you means that quantum entanglement, it actually cant transport information instantly. Exept you say relativity is bullshit.
>>17011293>Oh i did not know you gave spukhafte a new meaning>...im German and it just means spookyYou have already annihilated your own claimed identity in this one sentence; no need to keep beating the rest of your dead comment.
>>17011301Yeah i think you never could touch my point, this reply >>17011025 killed you and you had to propose a fantasy universe to save you, but exactly that fantasy is whats called actual infinity.
>>17010544she'd have many kalasha babies by me
>>17011337Well we know as a fact that you've already lied: you're either a lying German retard who isn't a physicist, a lying retarded physicist who isn't German, or an all-inclusive lying retard who is neither German nor a physicist. Which is it? Rofl
>>17010993>Only potential infinity exists.potential within what?, time?, that shit ain't infinite, so the so called potential infinity is but a figment in the imagination of the deranged
>>17011078 >>17011079does it fell that good for an LLM to eat you ass out?
>>17011078>So how can one "repeat this forever" and also "noon arrives"??easy>>17011078>This is not a paradox, it's the nature of time.use less LLM's next time and think for yourself at least once in your life
>>17011459Read up about potential infinity
>>17011462>>17011466That's an ad hominem attack and not a rebuttal to any of my points. How about you eat your own asshole with hot sauce or respond with some complete sentences about the paradoxes of infinity and why you think i'm wrong. How about that you low IQ toilet licker? NO? You're just going to pop off about how you hate AI? I mean the irony is rich you hating on LLMs when you literally can't speak more words than a parrot and can't form a cogent thought to save your life.I'm so sick and tired of the low IQ masses having zero to contribute to a conversation besides pointless squawking like some lesbian seagull stuck in a fishing net. Tell me why I'm wrong, why you are right, and then you can also insult me as much as you want but you need to discuss the topic at hand and use complete sentences you illiterate homosexual. >OMG HE POSTED AN AI MEME FROG, this is literally rape!>t. fags on /sci/
>>17011578pepe is nu-fag shit, you might realize some day eventually, cool OC though
>>17011578Not either of those anons, but isn’t the criticism that you HAVE no points? Just some garbage in garbage out you presumably didn’t even read yourself? Why would anyone else waste time even skimming through that word salad, let alone read it, let alone think about it, let alone reply to it? What a remarkably absurd suggestion.
>>17010544>There’s no such thing as infinity + 1pseud take.>have infinity apples>go to store, buy another apple>have infinity +1 apples.
>>17011804>all of my babby credit cards have a fixed limit
>>17011804>have infinity applesThats the problem, actual infinity doesnt exist, therefore you cant have "infinite apples".
>>17011589Don't care but thanks. It's Apu Apustaja not Pepe,it's right on his name plaque on the desk. Tarded. >>17011619I literally wrote 4000 characters of points, LLM's didn't write them, an LLM made the frog image, that's it. I went and looked up all the Infinity paradoxes and spent like 8-10 hours of time researching them and thinking why they could be wrong or not paradoxes at all. Every word in my post was written by me. So you faggots didn't even read it you're just sperging out because you have some irrational hatred of AI? Which didn't write my post, just made the images. Here I will TL;DR it for all you reddit tier serfs:The infinity paradoxes all suffer from logical fallacies and misrepresent the reality of infinity and contradict themselves, none are true paradoxes. They are only paradoxes because of these faulty premises. Many of the paradoxes simply use the idea "time is infinity divisible" to confuse and trick low IQ people, like you all. They simultaneously say you have to measure something forever, infinitely, and also asks you to determine the state of the system at the end of infinity, impossible. It's just a way of saying, "this is what infinity is". I have found zero paradoxes in all the infinity paradoxes I've looked up. For example:Saying "Tell me the last digit of Pi" This isn't a paradox, it's describing infinity. Just because you can't measure Pi's last digit doesn't mean it's a paradox. Now if you have a specific infinity paradox you think is a real paradox, tell me which one, and why. Please also see if I've already answered it above, as I did go through most of the common ones. If i've misunderstood something, tell me what, and why you think that. inb4 some maths only fags say some nonsense words like "countable infinity", basta.
>>17011922Lol, too funny. What do you think a paradox even means? Define "paradox."
>>17010544Infinity isn't real, it's just a concept to model things and solve finite problems
>>17011922ur apu looks too much like pepe and none like apu, downie
>>17010544Paradox oxymoron
>>17012184Paradoxymoron
>>17010544https://en.wikipedia.org/wiki/Ordinal_arithmetic
hate this smug cunt
>>17010993Is potential infinity in the room with you right now?
>>17013827https://en.wikipedia.org/wiki/Actual_and_potential_infinity
>>17014193once again retard, potential WITHIN WHAT???, time?!, that shit ain't infinite, as such there is no such thing as potential infinity, retard!!!
>>17014401Potential infinity just means the thing you look at has no boundery, no end. Thats it. Can be time, can be distance, can be subdevisions.
>>17014401>that shit ain't infiniteIm with you that infinite things dont exist as such. Its just that with some things, you can always add 1. So its potential infinite. It doesnt exist as infinite set.
