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# /sci/ - Science & Math

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is this mathematically true?

 >> Anonymous Sat Sep 5 12:17:33 2020 No.12088149 >>12088145depends on how you get infinitely many of them
 >> Anonymous Sat Sep 5 12:17:39 2020 No.12088150
 >> Anonymous Sat Sep 5 12:18:11 2020 No.12088154 >>1208814520*inf=inf
 >> Anonymous Sat Sep 5 12:18:14 2020 No.12088155 >>12088150prove it
 >> Anonymous Sat Sep 5 12:18:40 2020 No.12088157 >>12088145Urogynecologist speaking, possibly.
 >> Anonymous Sat Sep 5 12:23:24 2020 No.12088184
 >> Anonymous Sat Sep 5 12:25:32 2020 No.12088193 File: 16 KB, 249x198, OIP (1).jpg [View same] [iqdb] [saucenao] [google] [report] >>12088145u havent realized by now that math is just logical rules invented by humans? anything can be equal to anything if you say so
 >> Anonymous Sat Sep 5 12:25:59 2020 No.12088195 File: 27 KB, 112x112, 1579695308827.gif [View same] [iqdb] [saucenao] [google] [report]
 >> Anonymous Sat Sep 5 12:30:01 2020 No.12088208 >>12088193the smoothest brain
 >> Anonymous Sat Sep 5 12:35:32 2020 No.12088230 File: 37 KB, 300x300, maf.png [View same] [iqdb] [saucenao] [google] [report] >>12088193Dae 2 + 2 = 5???
 >> Anonymous Sat Sep 5 12:40:06 2020 No.12088247 File: 37 KB, 300x201, Example-Limit-Hole-300x201.png [View same] [iqdb] [saucenao] [google] [report] >>12088145both are infinitiesYou have to use the limit of infinities to understand this question. If you do not understand limits then gladly ask away.the limit of 1/∞ = 0the limit of ∞/1 = ∞the limit of 3∞ = ∞the limit of -5∞ = ∞the limit of both 1∞ and 20∞ are the same, but!lemme give you this example (image)y = (x3-1)/(x-1)if you look for the value of y if x is 1, is undefined because the value is 0/0but if you take the limit of y as x approaches 1, the value is 3meaning the limit of 1∞ is equal to the limit of 20∞, but 1∞ may or may not be the same as 20∞I hope this answers your question anon, you can't simply multiply and compare infinities to each other without special functions. Unfortunately for this one the answer is syntax error.
 >> Anonymous Sat Sep 5 12:40:34 2020 No.12088249 >>12088145lim(x->inf) (20x)/x = 20
 >> Anonymous Sat Sep 5 12:50:49 2020 No.12088283 >>120881451 + 1 + 1 + 1 + ... = (1 + 1 + ... + 1) + (1 + 1 + ... + 1) + (1 + 1 + ... + 1) + ... = 20 + 20 + 20 + ... = -1/12 = i/sqrt(6) = infinity
 >> Anonymous Sat Sep 5 12:51:00 2020 No.12088286 >>12088247>limit of -5∞ = ∞this is a mistake sorry, it should be -∞
 >> Anonymous Sat Sep 5 12:53:10 2020 No.12088291 >>12088145Personally I would pay more money to have infinite $20 bills than infinite$1 bills.
 >> Anonymous Sat Sep 5 12:56:17 2020 No.12088301 >>12088145Yes, they would both be worthless
 >> Anonymous Sat Sep 5 12:57:08 2020 No.12088303 >>12088145False. The infinite number of $20 bills would be worth more. Because our earth is finite, we can only fit a finite number of bills on our planet.$20 and $1 bills are the same size, so filling the earth with$20 bills would result in greater value.
 >> Anonymous Sat Sep 5 13:00:48 2020 No.12088315 File: 28 KB, 499x481, download (5).jpg [View same] [iqdb] [saucenao] [google] [report] >>12088303>imagine infinity>NOOOOOOOOOOOO INFINITY CAN'T EXIST NOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
 >> Anonymous Sat Sep 5 13:01:09 2020 No.12088318 >>12088145Yes, and both would be cheaper than toilet paper and it will mean for US dollar to have no value beyond toilet paper.
 >> Anonymous Sat Sep 5 13:01:59 2020 No.12088320 >>12088315Ah yes, the brainlet replies with a frog image, like clockwork. The point is not that infinity can't exist, it's that they wouldn't be worth the same because "value" is determined by us humans.
 >> Anonymous Sat Sep 5 13:02:37 2020 No.12088323 >>12088291>pay money>to have infinite bills
 >> Anonymous Sat Sep 5 13:04:47 2020 No.12088335 File: 216 KB, 181x179, 1596719443692.gif [View same] [iqdb] [saucenao] [google] [report] >>12088320Literally not what he said though, all he talks about is how the earth is finite, not that value is determined by humans. And I will have you know that I will frogpost whenever I want to faggot.
 >> Anonymous Sat Sep 5 13:05:30 2020 No.12088339 >nobody itt referencing zeta function. y
 >> Anonymous Sat Sep 5 13:06:32 2020 No.12088346 >>12088323infinite bills, not infinite storage
 >> Anonymous Sat Sep 5 13:06:37 2020 No.12088348 >>12088335>Literally not what he said though, all he talks about is how the earth is finite, not that value is determined by humans.Impressive, so you did read my post! Unfortunately, you forgot to actually think about it.What is an infinite stack of bills worth to us humans? Only as much as we can even fit on our planet right now, right? There's no point in us determining the value of dollar bills that are floating in space light years away from us. So it only makes sense to think about dollar bills on earth, and in this case picking the $20 bills is obviously the choice that is 20x better.  >> Anonymous Sat Sep 5 13:06:47 2020 No.12088351 >>12088145yeah, because they're only worth toilet paper at that point.  >> Anonymous Sat Sep 5 13:09:28 2020 No.12088358 >>12088351Based economics Chad  >> Anonymous Sat Sep 5 13:10:25 2020 No.12088363 File: 47 KB, 644x960, covid-19_panicroom.jpg [View same] [iqdb] [saucenao] [google] [report] >>12088351so more than gold?  >> Anonymous Sat Sep 5 13:12:52 2020 No.12088371 File: 12 KB, 200x196, 1599149371934.jpg [View same] [iqdb] [saucenao] [google] [report] >>12088348You're not making a deep point. This whole thread is retarded, as per usual on /sci/.Here I can say something retarded too:>If you had so many dollar bills that they would litterally be lying everywhere on the earth, they would both be equally worthless pieces of paper. We'd probably use them as a fuel source! Isn't that deep?! Think about it!  >> Anonymous Sat Sep 5 13:22:59 2020 No.12088415 File: 27 KB, 640x359, 626.jpg [View same] [iqdb] [saucenao] [google] [report] >>12088303>problem involves hypothetical scenario>"lemme tell you why that couldn't actually happen"Do you want to tell everyone that the Planck length disproves the existence of the real numbers next?  >> Anonymous Sat Sep 5 13:25:12 2020 No.12088426 >>12088303>we can only fit a finite number of bills on our planet.who said anything about having to store the bills on earth?  >> Anonymous Sat Sep 5 13:32:24 2020 No.12088456 File: 27 KB, 700x467, 1583878742628.png [View same] [iqdb] [saucenao] [google] [report] >>12088145Yes. You can group the$1 bills into piles of 20 and there would be exactly as many* piles of $1 bills as individual$20 bills. This quantity is denoted $\aleph _0$*formally, this means you can create a bijection between them https://en.wikipedia.org/wiki/Bijection
 >> Anonymous Sat Sep 5 13:44:30 2020 No.12088491 >>12088247Not a number, and not a limit.
 >> Anonymous Sat Sep 5 14:54:14 2020 No.12088669 >>12088145Infinity isnt a number
 >> Anonymous Sat Sep 5 15:00:21 2020 No.12088690 >>12088154No. you are basically what is 20 times larger than infinity which is undefined
 >> Anonymous Sat Sep 5 15:23:57 2020 No.12088767 >>12088145>is this mathematically true?no, it is not.>>12088155>prove it1 * infinity = infinity20 * infinity = infinitytherefore 1 = 20, which is wrong.>>12088669>Infinity isnt a numbercorrect, infinity is a concept, not a number.
 >> Anonymous Sat Sep 5 15:26:14 2020 No.12088777 >>12088767$\frac{\infty}{\infty}\neq 1$
 >> Anonymous Sat Sep 5 15:29:38 2020 No.12088791 >>12088767continued....forgot the second half of the proof.> 1 * infinity = infinity> 20 * infinity = infinityTherefore:infinity / infinity = 1orinfinity / infinity = 20which is it?
 >> Anonymous Sat Sep 5 15:31:49 2020 No.12088799 >>12088145Yes because for any $n\in\mathbb{N}$ the series $\sum_{i=1}^{\infty}n$ diverges
 >> Anonymous Sat Sep 5 15:33:45 2020 No.12088810 >>120887992 diverging series does nor equate to being the same or equal
 >> Anonymous Sat Sep 5 15:35:41 2020 No.12088821 >>12088810Yes but the question was about the total value. You can say for both cases it is undefined or both ar infinite, the value is "the same":
 >> Anonymous Sat Sep 5 15:44:08 2020 No.12088850 File: 12 KB, 320x371, 1599211460480.jpg [View same] [iqdb] [saucenao] [google] [report] >>12088791You are such a retard.$\frac{\infinity}{\infinity}=\mathrm{undefined}$
 >> Anonymous Sat Sep 5 15:46:42 2020 No.12088855 >>12088850no shit it's undefined, that was my whole point.the multiplication operation isn't reversible with division to arrive at the original number.
 >> Anonymous Sat Sep 5 15:48:56 2020 No.12088862 >>12088850>>12088855actually, now that I think about it...infinity / infinity = 1because infinity can fit within infinity precisely once.however, as a sort of abstract concept, using infinity in mathematical operations is a bit foolish.
 >> Anonymous Sat Sep 5 15:51:41 2020 No.12088874 >>12088850\infty you phoneposting faggot
 >> El Arcón Sat Sep 5 15:54:51 2020 No.12088886 A bag with a infinite number of 20s in it would be worth more than a similar bag of 1s because you could pull money out of it faster. They would have the same amounts of money, but they would not be worth the same.
 >> Anonymous Sat Sep 5 17:44:28 2020 No.12089282 >>12088145The infinite 20 dollar bills would have the extra worth of not having to handle so many one dollar bills.
 >> Anonymous Sat Sep 5 17:46:01 2020 No.12089288 >>12089282that's not actual worth
 >> Anonymous Sat Sep 5 17:50:04 2020 No.12089298 >>12088145That's like saying both of the same times zero would equal the same amount.
 >> Anonymous Sat Sep 5 19:16:48 2020 No.12089502 >>12088145Its true. They are both worth nothing.
 >> Anonymous Sat Sep 5 19:51:20 2020 No.12089569 >>120887911*0 = 020*0 = 0therefore 0/0 = 1 = 20HUUUURRR HUUUUUUUURRRR DUUUHHHHfucking faggot
 >> Anonymous Sat Sep 5 19:54:37 2020 No.12089579 >>12088145Yes, they would be equally worthless. Fuck fiat currency.
 >> Anonymous Sun Sep 6 02:36:29 2020 No.12090456 >>12089288How is it not?
 >> Anonymous Sun Sep 6 02:40:01 2020 No.12090464 >>12088690you are basically retardedhttps://youtu.be/i7c2qz7sO0I?t=1m15s
 >> Anonymous Sun Sep 6 02:41:34 2020 No.12090468 >>120888621/inf = 01 + inf = inf1- inf = -infinf + inf = infinf/inf undefinedinf-inf undefined1^inf undefinedyou can't do everything with inf as with a number, doesn't mean you can do nothing tho
 >> Anonymous Sun Sep 6 02:43:19 2020 No.12090470 >>12088886>faster>numbers have clocks on themhurr durr
 >> Anonymous Sun Sep 6 02:49:57 2020 No.12090482 File: 981 KB, 252x263, BlindHugeAmericanalligator-size_restricted.gif [View same] [iqdb] [saucenao] [google] [report] >>12090468>1 + inf = inf
 >> Anonymous Sun Sep 6 04:38:09 2020 No.12090695 When will people learn that subsets of infinity exist?2 * infinity is greater than infinity, even though both have no limits.
 >> Anonymous Sun Sep 6 05:00:01 2020 No.12090757 >>12090482$\displaystyle\lim_{x \to \infty} \dfrac{x+1}{x} =\lim_{x \to \infty} 1+ 1/x = 1+0 = 1$
 >> Anonymous Sun Sep 6 05:02:30 2020 No.12090764 >>120906952(1+2+3+...) = 2+4+6+...only the even numbers is larger than all the numbers?
 >> Anonymous Sun Sep 6 06:09:47 2020 No.12090880 >>12090757cute but irrelevant, figure out why
 >> Anonymous Sun Sep 6 06:11:32 2020 No.12090882 >>12090880because you are home schooled?
 >> Anonymous Sun Sep 6 06:32:17 2020 No.12090907 >>12090695>2 * infinitySo, infinity?
 >> Anonymous Sun Sep 6 07:48:15 2020 No.12091059 >>12090764I wonder...Is 2(1+2+3+...) the same as 1*2+2*2+3*3+... ?
 >> Anonymous Sun Sep 6 07:52:25 2020 No.12091068 >>12091059what else?
 >> Anonymous Sun Sep 6 07:57:48 2020 No.12091080 >>12091068Well, I mean, in the first case you're multiplying the end result, while in the second case you're multiplying each number while adding them.Sure the end result might be the "same" because it's infinite and all that, but are both infinities really equal?
 >> Anonymous Sun Sep 6 07:58:42 2020 No.12091081 >>12091080>but are both infinities really equal?yes
 >> Anonymous Sun Sep 6 08:00:18 2020 No.12091087 >>12088145If money was infinite it would be worthless, so it's correct. Both are with $0.  >> Anonymous Sun Sep 6 08:11:18 2020 No.12091105 >>120907641+2+3+... isn't the same as 2+4+6+...I stated that 2x =\= x, while you're stating that 2x = y  >> Anonymous Sun Sep 6 08:18:00 2020 No.12091117 >>12091105>1+2+3+... isn't the same as 2+4+6+...wrong, both are inf  >> Anonymous Sun Sep 6 08:32:31 2020 No.12091141 >>12091117They are both infinities, yes, but they're different subsets of infinites and are therefore not equal.  >> Anonymous Sun Sep 6 08:33:27 2020 No.12091144 >>12091141what is "subset of infinity" ?  >> Anonymous Sun Sep 6 08:35:17 2020 No.12091148 yeah but using the$20 bills would make you rich faster
 >> Anonymous Sun Sep 6 08:36:38 2020 No.12091151 >>12090464>"Math is really into rules"Fucking women, that's not how you talk about math or any scientific topic.
 >> Anonymous Sun Sep 6 08:37:39 2020 No.12091155 >>120904681^inf is definitely = 1 you idiot
 >> Anonymous Sun Sep 6 08:38:41 2020 No.12091158 >>12088149Correct>>12088145Not true. Consider that you get a dollar bill every second and a twenty dollar bill also every second. Then after $x$ seconds you will have $x$ one dollar bills and also $x$ twenty dollar bills. The worth of each pile will be $1 × x$ for the one dollar bills and $20 × x$ for the twentt dollar bills. Now consider the value of their ratio as $x \to \infty$ it is:$\lim \limits_{ x \to \infty} \frac {20x}{x} = \lim \limits_{ x \to \infty} 0 = 20$Therefore the twenty dollar bills worth (as expected) 20 times more than the one dollar bills. You can easily show that if you got a twenty every 20 seconds it would worth the same. It does depend on how you get infinitly many of them.
 >> Anonymous Sun Sep 6 08:40:42 2020 No.12091162 >>12091158>limx∞20xx=limx∞0=20limx∞20xx=limx∞0=20I meant $lim \limits_{ x \to \infty} \frac {20x}{x} = \lim \limits_{ x \to \infty} 20 = 20$
 >> Anonymous Sun Sep 6 08:41:40 2020 No.12091167 >>12088145Proof.Let's asign our 1$and 20$ bills some serial numbers. Let's start with 1,2,3, ad infinitum...Now, let's imagine, we're mapping each 20 dollar bill to a heap of twenty 1$notes. That means, first twenty dollar bills gets mapped to #1 20$, serial numbers 21-40 to #2 20$etc. We have enough one dollar bills to do so, so there cannot be less money in 1$ bills stack. The other way it's trivial, there's no less money in 20$bills than 1$. This means they're equally infinite.
 >> Anonymous Sun Sep 6 08:41:50 2020 No.12091168 >>12091162$\lim \limits_{ x \to \infty} \frac {20x}{x} = \lim \limits_{ x \to \infty} 20 = 20$
 >> Anonymous Sun Sep 6 08:41:53 2020 No.12091169 >>12091155it's not you retard. why should it be 1?
 >> Anonymous Sun Sep 6 08:49:52 2020 No.12091183 >>12091144An infinity has only one value: infinity.For example, 1+1+1+... is infinite and 2+2+2+... is also infinite.But when looking at the make-up of the infinities, we can clearly see that the first infinity contains only 1s, while the second only contains 2s.That's how you differentiate between subsets of infinities.The make-up of the first infinity is infinitely smaller than the second infinity, even though they're both infinite.Does that answer your question?
 >> Anonymous Sun Sep 6 08:56:59 2020 No.12091197 >>12091155$\displaystyle\lim_{x \to \infty} 1^x = 1 \\1^ {\infty} ~~ undefined$
 >> Anonymous Sun Sep 6 09:15:44 2020 No.12091229 >>12091183no. what is "subset of infinity" ?
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