29:30 So these guys are suggesting that math is racist based on statistics. Statistics is a field of mathematics, therefore they used racist and unethical means to reach this conclusion
@vandel_3 жыл бұрын
Watching this video is way better than going on reddit and scrolling. It's way easier to listen to what Flammable Maths says than opening a new tab and searching stuff every time you don't understand something.
@PapaFlammy693 жыл бұрын
:D
@teifan66743 жыл бұрын
"Why be right when you can approximate" - engineers Ah, I see you are pandering to your ever increasing physicist audience
@PapaFlammy693 жыл бұрын
:D
@isi29733 жыл бұрын
I am a chemist, I calculate, then I realize I am too lazy, so I just approximate. Then I do the experiment and see that the appeoximation does not work in reality.
@Ryan-gq2ji3 жыл бұрын
@@isi2973 approximations: created to allow easier calculations in reality also approximations: fail to work in reality
@monad_tcp3 жыл бұрын
But engineers aren't wrong ; they just didn't run infinite steps in approximation to become right.
@danielmachado43893 жыл бұрын
I'm sure that he has more tan 2 physicist watching xD
@newwaveinfantry8362 Жыл бұрын
7:05 - Those are the fundamental operators. Addition, multiplication, exponentiation, tetration, pentation, hexation, etc. And in the case of 2{operator}2 it's always equal to 4. 27:25 - The graph is doing what drunk people do. Start doing something that they won't complete because they'll feel tired before they can even get going, they get hungry out of nowhere and they find others more attractive than usually.
@mattg000043 жыл бұрын
4:45 might want to be careful shortening complex analysis like this..! i was dying laughing each time i heard it lmao
@PapaFlammy693 жыл бұрын
:D
@PunnamarajVinayakTejas2 жыл бұрын
He was very careful, it was very intentional.
@denizgoksu98683 жыл бұрын
28:10 If 1 and 2 are considered under their usual definition (1={ø} and 2={ø,{ø}} where ø is the empty set), then it is manifest that the set {1,2} contains two distinct elements, while {1} contains just one element, disallowing any surjections from {1} to {1,2}; this is no problem under constructivism. I believe the OP confused this with the statement-or a similar statement-that under constructivism, it is not provable that the set {a,b} is finite-let alone countable-for any two arbitrary sets a,b. This is because the proposition entails by a routine calculation that any pair of sets are either equal or not equal, which can be shown to be logically equivalent to the excluded middle
@98danielray3 жыл бұрын
for the rearranging it has to be conditionally convergent. divergent series taking those values happen because they are misapplying properties (like the existence of an additive inverse), not because they go to those values.
@wheremehat65912 жыл бұрын
11:44 I started dying of laughter when he called taylor swift "some woman"
@neilgerace3553 жыл бұрын
6:30 I'm feeling recursive, and so am I.
@martinshoosterman3 жыл бұрын
7:23 is a good meme. I think their notation is wrong though, it should be 2[n]2 not 2{n}2 But Bassically 2+2 = 2[1]2 2 × 2 = 2[2]2 2^2 = 2[3]2 It's a generalized notation for repeating the previous operation. For 2 though it's the same for any n.
@dan-us6nk2 жыл бұрын
2 is mind blowing
@mumujibirb Жыл бұрын
Unless you use BEAF, which chooses {}.
@louisrobitaille58102 ай бұрын
They're just operations and hyperoperations. In order, going anticlockwise: addition, multiplication, exponentiation, tetration, pentation, hexation. Afaik, exponentiation is noted as x[1]y, tetration as x[2]y, and so on though 🤔.
@no-bk4zx3 жыл бұрын
19:49 You are already transforming into those boomer professors lmfao
@PapaFlammy693 жыл бұрын
xDDD
@zyansheep3 жыл бұрын
@@PapaFlammy69 should have said to your 7th grade class that "math is arbitrary and typically things are defined in a certain way because they are useful when defined that way. You could just as easily define it another way, but it might not work out logically with other parts of math, or simply be useless"
@SunnyKimDev3 жыл бұрын
23:44 While this reasoning takes out Brinner, Dinfast is still valid because two given meals of a day can be different but congruent (modulo one day). There can be a meal *after* dinner, *before* breakfast. (which would typically be eaten around 2~3AM)
@veliulvinen3 жыл бұрын
Also, if someone, potentially a hungover student, oversleeps and wakes up at dinnertime, that would be their breakfast i.e. brinner.
@rautakoura56633 жыл бұрын
Not sure if someone commented this already, but the series in 3:50 converges and all the operations make sense in the field of 2-adic numbers, so the end result should also be valid, and indeed S = -1 in 2-adics. This also explains why your factoring out 4 leads to the same (correct) result.
@liweicai27963 жыл бұрын
Or simply apply the same logic for 1+2+3+...=-1/12. 1/(1-z) is the analytic continuation of 1+z+z^2+... over C and it indeed equals to -1 when z=2.
@98danielray3 жыл бұрын
also, the result he was referring to is for conditionally convergent series
@AlcyonEldara3 жыл бұрын
Yep. And if your topology arises from an absolute value on Q, this serie is either divergent or converges to -1.
@PunnamarajVinayakTejas2 жыл бұрын
@@liweicai2796 Does that agree with the epsilon-N definition of the sum of an infinite series though? Methinks not. There's that caveat that people tend to forget.
@sergpodolnii39623 жыл бұрын
"Poisson" means fish in French. And that meme was referring to a famous story from the New Testaments (when Jesus satiated hungry people with bread and fish by Ctrl+C/Ctrl+V
@PapaFlammy693 жыл бұрын
ohhhhhhhhhhhhhhhh xD
@KusacUK3 жыл бұрын
And there was me thinking it was to do with the misapplication of Poisson distributions…
@mathphysicsnerd3 жыл бұрын
@@KusacUK Why not both?
@IsaacTorresProf3 жыл бұрын
Believe it or not, fractional derivatives actually have a huge number of applications. One is dispersion of waves and I have also worked with fractional calculus in a cosmology context. I am saying that just by curiosity and fun, I enjoyied the video and I like you channel
@alishawamreh57523 жыл бұрын
Ngl I cracked when you pulled the ,,er wusste nicht was er tat“ rant - reminds me that I have to take my german final soon :)
@PapaFlammy693 жыл бұрын
:D
@eig52033 жыл бұрын
7:11 That notation is the beginning of BEAF used in googology. The way it works is: a*b = a+a+..+a with b 'a's a^b = a*a*..*a with b 'a's a{4}b = a^a^..^a with b 'a's a{5}b = a{4}a{4}..{4}a with b 'a's in general a{b+1}c = a{b}a{b}..{b}a with c 'a's It is just another way of representing hyperoperators/knuth's up arrows (but the BEAF notation goes further beyond just hyperoperators).
@orisphera2 жыл бұрын
5:20 I know 4 meanings of x=x+1 in normal programming languages: - In Pacsal, this is a comparison. It is always false for integer types of x, but it is true for large enough real x's - In many languages, including Python, this is an assignment. It can be thought of as “x after this = x before this + 1”. However, it usually can be also written as “x += 1” and, in some languages, “++x” - In Python, if passed to a function, it is a keyword argument. If the function has an argument called x, it means “x inside the function = x in the scope where it is called from + 1” - Also in Python, if specified as an argument for a function when defining it, it is a default argument, meaning “x in this function if not given = x in the scope where it is defined + 1”. The addition is done when defining the function
@kensmusic11343 жыл бұрын
3:50 yes, the series is not absolutely convergent, therefore not every rearrangement of the series converges to the same value
@Kurushimi17293 жыл бұрын
No arrangement of this series converges at all
@kensmusic11343 жыл бұрын
@@Kurushimi1729 Yeah, that's true. if the series over (an) doesn't converge, then |(an)| doesn't either. But if (an) converged, |(an)| would need to converge, so that every rearrangement had the same limit. Absolute convergence was just the term he was looking for.
@Gretchaninov3 жыл бұрын
The value of -1 does make sense in some contexts, like the continuation of y = 1/(1-x). It's not a completely invalid result, it just depends on what you mean.
@ДмитроПрищепа-д3я3 жыл бұрын
@@Gretchaninov it has an even deeper meaning if one would apply exponential regularization or something like that.
@98danielray3 жыл бұрын
it has to be conditionally convergent
@Quasarbooster3 жыл бұрын
7:15 Those are the hyperoperators (albeit a weird notation for them). They all equal 4.
@rubixtheslime3 жыл бұрын
I think if they used knuth up arrows it would've made more sense, also probably make it so that you don't naturally read ellipsis second
@Quasarbooster3 жыл бұрын
@@rubixtheslime I agree. Or they could've just used 4 guys for 2+2, 2*2, 2(n arrows)2 (for all n>=1), and ellipses. That way it wouldn't stop at hexation.
@anshumanagrawal3463 жыл бұрын
20:01 That caught me off guard
@WACdeG3 жыл бұрын
You could have used the Hilbert Hotel to explain how some infinities are the same size as other infinities to your 7th graders.
@rssl55003 жыл бұрын
Ted Ed video lol
@latslarsson20013 жыл бұрын
Well yes but I think it's still very abstract for 7th graders and would be hard to understand. Although probably one of the easiest. I learned that by using a infinite busses with infinite seats, which i thought worked well.
@KidAmekra3 жыл бұрын
29:32 It's not that your skincolour defines your intellect, but rather that the skincolour of your parents defines their wealth, which in turn influences your "school smarts".
@fabri_gonzalez3 жыл бұрын
What?
@ouie-fl4qo2 жыл бұрын
6:00 you can right it as "x += 1" instead so you can sort of trick your mind into thinking you're assigning the variable x rather than going against all math
@goclbert3 жыл бұрын
27:27 People often make an analogy between random walks and being drunk eg. a drunk man in 2 dimensions or a drunk bird in 3 dimensions.
@yavuz17793 жыл бұрын
When you're so angry you go german. That makes me chuckle
@PapaFlammy693 жыл бұрын
:D
@GrandAdmiralMitthrawnuruodo5 ай бұрын
Here‘s a joke I came up with: „Infinitely many men go into a bar. The first orders 1 beer, the second 2 beer, the third 3 beer, and so on. After a couple more men ordered the bar keeper says:
@Krystaltho3 жыл бұрын
I too tutor high school children and they make the mistake of dividing by “log” to solve: log(x) = 10
@PapaFlammy693 жыл бұрын
...
@jacobhall46553 жыл бұрын
20:00 shit gave me mental whiplash I was not expecting that
@riccardoredigolo78023 жыл бұрын
At 3:56 I think you are referring to Riemann's Theorem for simply convergent (convergent but not absolutely convergent) series. To get that result you need the general term of the series to go to 0 tho. In that way you are able to rearrange the terms of the series to get whatever number you want. So that series would not work even if you were to consider Sum_{n in N} (-1)^n 2^n.o
@PapaFlammy693 жыл бұрын
Yes, exactly! :)
@PapaFlammy693 жыл бұрын
Thx for the refresher, Riccardo! :3
@riccardoredigolo78023 жыл бұрын
@@PapaFlammy69 You're welcome. Great video as usual :)
@LukeThunder3 жыл бұрын
20:00 Jens Freud knows whats up
@cosmicvoidtreeАй бұрын
3:33 for this one, it actually doesn’t matter where you start factoring, that method will always be -1. As a quick sketch, you start with S=1+2+4+8+…, then wherever you start factoring, the terms before will be a sum of n-1 powers of two which is trivially 2^n-1 (the proof of which is left as an exercise to the reader) then you factor out a 2^n from the remaining terms. Using these, they yield S=2^n-1+S*2^n. This can be rearranged, to S(2^n-1)=-(2^n-1), which reduces to S=-1 for any factor point. Alternatively, one of 3blue1brown’s oldest videos actually covers this sum: kzbin.info/www/bejne/jnenfmSfpZp7mrc
@dudono17443 жыл бұрын
fun fact: x=x+1 would also upset computer scientists, they use x++
@McNether3 жыл бұрын
02:49 following this logic you also cant have a disk in real life because there are also dimensions in which a disk got no expansion. In reallife we can only cut out a cylinder (at least approximatly). 03:46 When a series is not absolutely convergent but convergent you can get every real number as a limit by rearranging the summands. But i feel like for this sum there should be some other values we can reach by doing simmilar stuff. 22:52 I had to like there
@stopwatcher8930 Жыл бұрын
Would you call a cd disk a cd cylinder then?
@emilio28643 жыл бұрын
Probably not so crucial for your content, but I think I heard a famous paradox that helps explain the cardinality of N, Z and Q, it has something to do with an hotel with infinite rooms. Maybe you could use it to help your students understand. Anyway love your content Papa Flammy, keep it up!😁
@yama123numbercauseytdemand43 жыл бұрын
Do you maybe mean Hilbert's hotel?
@henrykenliu56103 жыл бұрын
My man seriously don't know Taylor Swift and Pam from the office? 🤣
@pyropotassium40762 жыл бұрын
4:45 Tbf I'm just an adolescent with no natural understanding nor education of calculus, however I understand that the last expression is legendary thanks to it defining a theorem complex like the previous diagram however contracting it to something more legible than posh eye strain
@PunnamarajVinayakTejas2 жыл бұрын
12:32 also if you accept the premise that points means corners in this context, there are many shapes that have corners and still roll - object of constant width, they're called.
@cmyk89642 жыл бұрын
Press 25:58 for Flammable Maths getting so angry he reverts to speaking German
@XAE-yc9rr3 жыл бұрын
I was facepalming right there with you at 26:08 I too have prayed for guidance.
@Christina.Anne.3 жыл бұрын
27:40 🥺 I think you would like ontological maths, Papa Flammy 🥺
@PapaFlammy693 жыл бұрын
:D
@zyklos2293 ай бұрын
@17:06 not sure how deep this is, the quote comes from Arrowverse/Flash crossover episode and the pun with Banach-Tarski, which refering to sortof volume of a sum of pointmasses and the quote "every cell of my body", trying to imagine this for real. Feels deep. 🤔
@soyoltoi3 жыл бұрын
Well, if you want to be that careful, might as well just call it a cylinder.
@Nzargnalphabet Жыл бұрын
One question, I got something that looks close but not exact to cos, instead I got some function with some part of it definitely being cos, but its absolute value asymptomatically grows as it gets closer to 0
@nickwgo Жыл бұрын
3:46 that only works for series that are convergent but not absolutely convergent. That one is neither
@zyklos2293 ай бұрын
@4:35 the 🤔 is the variable. I like this task. One could solve integral first with the 3 constants and then search for their value as linear equation system. While technically only solve integral_a'^oo sin(x)/x dx is sufficient - not sure yet, why it's a meme, probably due to pictograms instead letters
@christapo76823 жыл бұрын
I've risen from the realm of digraphs and abstract nonsense to notify you that integral symbols in category theory are for things called (co)ends
@cmyk89642 жыл бұрын
I think Lunfast is the meal between lunch and the FOLLOWING breakfast.
@poutineausyropderable71083 жыл бұрын
Math meme basically went from Undergrad students (toward graduation) to pre calc student that heard about shit.
@jcnot97123 жыл бұрын
“There’s always one meal in between breakfast and dinner” Unless you’re in finals week and eating Cheetos at 3 am.
@cmyk89642 жыл бұрын
That S = −1 is actually how signed integers are sorted in computer programs, except the number of bits are obviously finite. If you’re using 8 bits, −1 is equal to 1+2+4+8+16+32+64+128 (all 8 bits on).
@theprofessionalfence-sitter3 жыл бұрын
Who the hell defines 3 as {{ø}}? 3={ø,{ø},{ø,{ø}}} is clearly the superior construction!
@Matthewnop_3 жыл бұрын
14:05 I think that's normal in computer graphics, I remember OpenGL was like that
@ateium24093 жыл бұрын
24:15 dinfast is eating food at 2:00 am
@sheeniebeanie25973 жыл бұрын
flammy roasting pam from the office makes me sad inside lol
@dhichicpop25313 жыл бұрын
Plot twist : the seventh graders are faking interest in infinity so he doesn't make them solve problems in class
@Ryan-gq2ji3 жыл бұрын
20:01 ALABAMA INTENSIFIES
@-thanawat-82963 жыл бұрын
“And you 7th graders couldn’t add fractions properly” , 7th grade me who used the 13 properties of congruences : *bruh*
@KazACWizard3 жыл бұрын
33:27 i actually put a plus i in my integrals
@cloud422693 жыл бұрын
14:06 i always encountered in mathematics Z direction like this, in other engineering subjects Z is always upwards.
@somgesomgedus93133 жыл бұрын
The ablian stuff gets even worse when one of the two elements they check is the identity element
@1996Pinocchio3 жыл бұрын
Or Zero :'D
@Requiem1005002 жыл бұрын
- Mom, can I have a circle? - We have a circle at home. *the circle at home*: 💿
@TranquilSeaOfMath3 жыл бұрын
16:45 The panda example is a good example.
@PapaFlammy693 жыл бұрын
yeye :p
@kayakh.82313 жыл бұрын
I’m trying to find out where I get the audacity to keep showing up to these videos knowing me and my engineering team almost failed our thermo final because we couldn’t solve the basic algebra problems after doing all the complicated integrals and inequalities 😭🙈😭😮💨
@PapaFlammy693 жыл бұрын
r i p
@MichaelDarrow-tr1mn10 ай бұрын
3:15 actually it can't be anything as this series is convergent in the 2-adics, converging to -1.
@erenjeager22692 жыл бұрын
That meme at 32:45 you skipped, was actually good meme😂
@IshaaqNewton3 жыл бұрын
Besides enjoying the memes of that FB group, I remembered something very saddening. I used to post memes regularly in that group and one day someone blocked me from the group. :(
@PapaFlammy693 жыл бұрын
that sucks :(((
@Assault_Butter_Knife3 жыл бұрын
That's a very sad story halal Newton, sorry to hear that
@hasanplaster15103 жыл бұрын
F
@kryt79552 жыл бұрын
i hadnt thought meme reviews could actually be good
@euler303 жыл бұрын
Need more math meme reviews...
@PapaFlammy693 жыл бұрын
we all do ;_;
@diedoktor3 жыл бұрын
Came for math memes, stayed for the racism and billionaire worship.
@christopherdyson11583 жыл бұрын
3:44 I thought that it had to be conditionally convergent. Think it was called the reimann series theorem... so I dont think it applies here.
@toniokettner48213 жыл бұрын
26:26 that's just an alternive notation for tan^-1
@AndrewDotsonvideos3 жыл бұрын
Jens the cia keeps calling me are you in some kind of trouble pls response
@PapaFlammy693 жыл бұрын
we all ded cause of my 9/11 baking joke
@hardy-bs20032 жыл бұрын
As a maths student
@neilgerace3553 жыл бұрын
10:40 That's Pam from the American version of The Office. I don't think her image is shopped.
@PapaFlammy693 жыл бұрын
Yeye, I know, but it still looks so out of proportion to me lol
@ikntc5142 жыл бұрын
4:00 but it also is -1 when you factor with 4, and every number💀
@integralboi29003 жыл бұрын
I haven’t watched the vid but 35 mins of math memes seems amazing
@integralboi29003 жыл бұрын
i can confirm that the memes are some quality stuff
@NStripleseven Жыл бұрын
what has happened to meme culture where when I saw the circle meme I expected “39 buried, 0 found”
@louisrobitaille58102 ай бұрын
32:16 I don't get the meme. 1 isn't prime because a prime is defined as a composite number that can only be divided by itself and 1. A composite number is a number with more than 1 factor, therefore 1 isn't a prime because it only has 1 factor (itself).
@monad_tcp3 жыл бұрын
the Weierstrass function , or as I like to call it, the stockmarket function.
@aquss33 Жыл бұрын
22:54 - Not "Darude - Sandstorm", but "Timmy Trumpet - Freaks"
@karammo7ammed9173 жыл бұрын
What's the r in the formula at 1:29?
@veralgupta81823 жыл бұрын
Hmmm Discord Server when, I guess it's a good idea 😅
@1996Pinocchio3 жыл бұрын
30:08 This is the example goedel used to show that with the rules he was allowed to use in mathematics during his time, he can make a contradiction. It's called goedels incompleteness theorem (or at least this is a part of it). Thanks to him,you aren't allowed any longer to define a set recursively.
@alexmcmahon28102 жыл бұрын
Alas, I always knew that brunch wasn't linearly independent.
@bowtangey68302 жыл бұрын
For complex z, 1^z =1 is hardly the whole story...
@adityathaker23798 ай бұрын
4:37 what if 🤔 is just x? I mean, a variable with respect to which you gotta integrate?
@Erik_The_Viking3 жыл бұрын
I've often referred to "Taylor Swift" as "Taylor Series". Love the memes!
@ArthurvanH0udt9 ай бұрын
answer of question mark at around 4m35 is pi. [ it is the integral of zero to infinity of two times sin(x)/x] hamburger==10 hotdog==10 pizza==20 so HB-HD=0 and PZ/HB=20/10=2
@denizgoksu98683 жыл бұрын
Math Meme Review: First time Physics Meme Review: First time? Math Meme Review: First time? Physics Meme Review: First Time
@cmyk89642 жыл бұрын
TL;DR: a circle is the outline while a disk is the surface
@markuspfeifer84732 жыл бұрын
„When I was in Kindergarten, I was talking about Filters, Matrix multiplication etc.“ did. you also talk about ultra filters and how there exist non-trivial ultra filters?
@G.Aaron.Fisher3 жыл бұрын
The only way to sort for this type of video is Top -> Past Year, or Top -> Past Month.
@KidAmekra3 жыл бұрын
Btw: Amazing video! I am amazed how much physics I can understand having studied chemistry...
@nathanbeer33383 жыл бұрын
The meme with the rider with cool jacket and white bullet is so me. I often try to find a formula so the result of all the numbers on the registration plate will be zero for no reason. Is this just me?
@DerrickJolicoeur3 жыл бұрын
For me, the term dinner and supper are interchangable and mean the same thing. I commonly use the term "Lupper"
@nightrocks Жыл бұрын
Thats a big guitar pick right there
@impuis53973 жыл бұрын
3:50 Is this Ramanujan summation?
@davidhjedwy Жыл бұрын
29:00 a system of inequalities
@lesorax1233 жыл бұрын
Papa flammy should do a german sayings and swears review