Proofs in University Maths be like... [ Math Joke Video ] [ Best of invalid proof techniques ] Part1
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Part 2: • Proofs in University M...
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Proof by necessity: Since the statement is on the exam and it asks us to prove it’s true then it must be true.
OMFG 😂
In an exam we were asked to prove that a statement is true, while it was clearly false. Turns out the guy who made the exam made a mistake LOL
Not necessarily. I've had exam questions where the lecturer intentionally asked us to prove incorrect statements, and to get the marks, we need to realise that it was not provable and say why
"Prove or disprove 2 of the following 3 statements." (One is provable in half a page, one disprovable with a small counterexample, and the remaining one is equivalent to the Riemann Hypothesis.)
LOL
2+2=4 2*2=4 2^2=4 Therefore x+x=x*x=x^x Proof by example 😇
You forgot tetration. 2 tetrated 2 =4
Now we've got serious problem What's the secound answer for x^x=x+x
Rafcio Pranks as per Desmos it appears to be irrational. You could use Newton’s method to approximate this value though if you can differentiate x^x (not too hard, just has a novel first step)
@@rafciopranks3570 you can solve it using the lambert W function, and get an exact answer. In fact you can develop an exact answer for all expressions of the type a^x + bx = c, where a and b are either constant or x's, and c is a constant. Edit: c *and* a actually have to be constants, cannot be x. So actually x^x=x+x specifically is not possible to get with the Lambert W. But there has to be at least one more value besides 2 for which it holds, you will have to find it numerically :)
I tried to use a Labert W fuction but it didn't help. Also Wolfram Alpha couldn't give me an exact answer. Is it possible though?
Integration by prayer
😂
What's that? You guess at random and pray it works?
😝😝😝😝
@@Funkaar_Studio u have the same name as me
@@retardedkangaroo8665 really??
“Why don’t they just write a python script and check a lot of numbers” ~ every scientist ever
Lol I did that for my homework
@@panc4kes276 same lol
I did it with java when i did not know calculus to get formula for electric potential from electric force.
i just did that for the "you can sum any two primes to form any even integer" problem and it's kind of weird how there's no even integers missing until 1832
@@__jan then you made a mistake or you are a legend who just disproved the goldbach conjecture
You forgot everyone's favorite: Proof by leaving it as an exercise to the reader. (Usually solved by "well I guess it must be true then".)
*calculus seperate vector reader flashback* (our calculus course uses a terrible reader made by a professor to teach vector stuff, but it doesn't tell you how anything works, it just gives you a few examples for common exercise types and then exercises to practice)
Spivak Calculus Bruh. Are proffs are trivial and is homework for students
Paid 69 bucks for a book on data base theory. Half the proofs are left to the reader. I mean yo what am I paying you for :(
Give this man an award
@@patternwhisperer4048 only good justification for that price is the fact that it's 69
You totally missed proof by axiomatization, if you can't prove it then it should be an axiom
@@PapaFlammy69 sequel video?
lol
Godel has entered the chat
Totally hahaha
I CANT
"epsilon less than or equal to zero" I truly am intimidated.
They took epsilon so small that epsilon^2 was negative. With that epsilon they proved the Riemann hypothesis.
@@u.v.s.5583 Wait how?
@@sals4659 They even made a documentary movie about it, called The Proof.
@@u.v.s.5583 I'll check it out, thanks!
Top Information Channel: VICE. Just sayin'!
Proof by "I couldn't fit the proof in the margin of my book so just trust me dude"
@ Fermat
That's how Fermat presented his last theorem, right?
Christian Albert Jahns yep
The reader may easily persuade himself that...
I can't help but feel like some of these were referencing me but I can't put my finger on it.
I guess your assumption then can't be proven by intuition tho, bruh
Love the contents of you two! Greetings from a swiss nanophysics student :D
"Hey mr Dotson", "Yes Andrew?"
😂😂😂
No he was talking about Mr Andrew Nostod and Dr Werdna Dotson
wtf he solved the p=np
And the Reimann Hypothesis too.
*wait, thats illegal*
someone call Clay Mathematics Institute they owe this man a million dollars
@@Pi-bz1dn shutup Andrew we are done here!
@@rafaelplugge3214 proof of intimidation:
Proof by engineering: if it's close enough, it's proven.
Why be right when you can just approximate?
Not for German speaking engineers 😅
please define close enough 😅
@@kosmasfostinis8017 😂😅
@@hpsmash77 it doesn't break, good enough.
Engineering proof: Are we in 20 percent margin? Then its true lul.
Ne kadar kırıcı bir davranış
Bahadır Öztürk ne diyon olm sjkdkdldjd
Ah yes the margin of 2048 orders of magnitude Once I was calculating when two neutrons that are on the opposite edges of the observable universe collide, I accidentally slipped in the mass of the milky way and instead of the gravitational constant I used the inverse of planck time, also as radius I decided to use your dads pp length (which is pretty small even if I say so myself). I was happy that my answer was within the accepted margin, barely but still
I like how Andrew is every character
Dotson
Proof by intuition is what i always use, really powerfull.
I prefer proof by intimidation... After all, nothing dares defy me when I take off my shoes after a hard days work...
Flammable Maths I use proof by God
I was reading my Chemistry textbook and there was a rather funny part where they described the process for synthesizing I think Aluminum electrochemically. It was basically "if you set up a system like this, unknown reactions will result in Aluminum collecting at the bottom, which we can siphon off to use industrially." Or in layman's terms "then a miracle occurs"
I mean thats kinda how physics explains being able to look through glass even though there is no real coherent structure to the crystal
Can you tell me the textbook please I kind of want to show that to a friend of mine
@jameson1239 Unfortunately I forget the name of the textbook, as it's been several years
@@ryanalving3785 fair
The "proof by picture" triggered me because at uni we had to solve some really basic algebra problems and I did all the working out and showed concise proof, the professor accepted a hand-drawn graph as a justification of other students' answers.
I mean its still valid
It was probably a good exercise though. Reminds me a bit when we wrote a report after a project. Two friends wrote like 20 pages, sitting up to early morning the last night. Me and another friend wrote 4... All of us passed.
my high school math teacher proved that lim sinx/x is 1 when x->0 by plotting the graph with computer.
Seems like a reasonable guy
I tend to prefer the "the proof for this is quite lengthy, so you'll just have to trust me on this" and "the proof is left as an exercise to the student".
You forgot "Proof by 'this proof is outside the scope of this paper'" :^)
Underrated
You forgot the other trivial case of P=0. Please educate yourself on trivialites.
Last time I checked, Alan Turing himself disproved that P=0 in his essay referencing the Entscheidungsproblem, since it is trivial that the time it takes for Andrew to become a genius is Polynomial.
@@jessicawang6558 top banter
Lmao
How come has no one made the timestamp? 0:18 Direct Proof 1:03 Proof by Contradiction 1:54 Proof by Approximation 2:29 Proof by Intimidation 3:57 Proof by Voting 4:49 Proof by Example 5:31 Proof by Intuition 5:59 Proof by Higher Authority 6:46 Proof by Resignation 7:00 Proof by Picture 7:48 Proof by Mutual Reference 9:09 Proof by Accumulated Evidence
10:13 Proof by Water
11:00 Proof by Proof
@Wompa Stompa nice name
@@wompastompa3692 Womp Womp
You forgot the most common ones: -- The proof is trivial. -- The proof is perfectly analogous to the previous one (except it is not, LOL). -- The proof is left for the careful student to exercise. Edit: suck(0).
Or "The author of this notes does not have a proof on the statement yet"
@@ivanlazaro7444 Is that method called proof by honesty?
@@ivanlazaro7444 "The author does not have enough space here to write the proof, but it's not difficult"... does it sound familiar? 😂😂😂
Those 3 give me nightmares
Another good one is proof by inaccessible literature
1. Small comment. The rest is followed by InDuCtIoN. 2. Paper sets out to prove theorem in 200 pages. The actual proof is somewhere on page 69 and the rest is proving theorems related or even unrelated to the proof. 3. This proof is trivial, so it can be assigned as classwork. Don't be confused if it keeps getting referenced throughout the course. 4. Is that an s or a 5? Is that a c or a C, v or V, p or P, k or K...? 5. What is this used for and why are we doing this? 6. If unsure about the proof, reference these gucci antique monolith stones that predate the modern era. 7. The notation is different in this paper than every other paper in history. 8. [Famous mathematician] said it, so why question it? 9. Circular argument... -> contradiction!
Proof by "I don't need to know the proof I just need to be able to apply it"
That's an engineering proof
"Prove the value of pi to five decimals." Proof by calculator: It says 3.1415926536, so I just round to get 3.14159. QED.
Some epsilon less than or equals to zero. Mathemathicians: *reèeeeeeeeeeeeeeee*
IS THAT A-
HOLY MOTHAFUCKING SHIT IS THAT A-
I had a visceral reaction.
My favorite proof that I saw in a math book “The proof by induction over n is quite straightforward, but also quite tedious and thus omitted, an illustration for case n = 3 is given in the figure below.”
In graph theory, there were proofs by picture, one of which was also a proof by finger pointing. It make sense since graph theory is so visual and hard to represent abstractly/generally. A common frustration with a graph theory student trying to prove something (myself included) is "... but I can't draw it!" It can really mess with your brain.
You can claim you proved it by visualizing it in 13 dimensions in your brain, but it's too hard to draw it out.
Our genius papa flammy will win 1 million for P vs NP.
I also know some: 1. In my classes, proof by intimidation is done differently: -Andrew: “I didn’t quite get why this proves our theorem...” -Prof: “If you didn’t even understand that, you’re probably in the wrong course!” 2. Proof by axiom: “This property seems so nice, let’s consider it as a prerequisite to doing maths.” 3. indirect proof without contradiction: assume a statement is true and conclude that it must be true. 4. My favourite one: => ◾️.
"indirect proof by contradiction" *It's possible that this conjecture is true. Therefore, it must be true. Therefore, it is true. Q.E.D.*
Finian Blackett I know. I've studied them. The only serious argument that does this, though, is the ontological argument, but I find that argument to be so flawed it does not deserve the name "argument".
@@angelmendez-rivera351 It is possible for me to have the perfect bank account with enough money to be the richest person on earth, and not break the economy. If the bank account didn't exist, it would not be perfect which by definition it must be. Therefore the bank account exists.
Marvelous Quasar Pork Man DAMN, U right. I've been defeated. I will now submit to our Lord and Savior the Perfect Bank Account. Wait, how do I even offer sacrifices to this bank account lol
Proof by looking and seeing.
one of my teachers at the university: “[...] and so this is the axiom we are going to work with. Now let’s prove the axiom first.” And he proved the axiom...
yea well, the subject he was teaching was also boring and completely useless (some kind of formalized programming theory, but had nothing to do with maths or programming). He also didn’t provide any supporting material. Some of the students took photos of his slides so we could at least prepare for the exam somehow... I was of course sleeping 😄 On the exam I had the formulae printed on a cheat sheet in ASCII, so I had no idea what they meant and how to write them down to begin with 🤣 I still passed tho, probably because deep down he felt that he was teaching BS to us and my ‘ASCII art’ reflected on that.
Riemann hypothesis - the proof is trivial.
Papa I think you got your proof by contradiction wrong. The negation of "you momma fat & geh" is "you momma not fat OR not geh". That's just basic logic mate, smh
He didn't say "not fat and not gay", which would be wrong, he said "not (fat and gay)", which is indeed the negation
negation of thing is always not-thing.
Demorgan delight. Also now I gotta delete my comment that says the same thing that I wrote before I read this one uwu
@@SirZafiro Thanks for your input, appreciate ya
modus pornens
It's funny because when you are trying to prove something on an exam you immediatly lose half of your iq points
I hope a random student came in around 4:25 to see the big dong theorem on the board
The dong is smooth along the bruh-axis
Let N = 1, therefore P = NP Computer scientists be like “you missed the point” Mathematicians be like “whoosh”
Don't forget P=0.
Ok. Let N=1. = 1.0000. There you have your POINT. Satisfied now?
Pinnacle of comedy
Only big bois noticed the Wii music in the background
*T H I C C*
Proof by re-writing: The statement proves itself in the exam question thus re-writing the question proves the statement.
succ(0)st
All my professors: "hope no one notices i don't know what i'm doing" hahahahahaha love these videos, never stop making them!
"If you add smaller and smaller parts together, for sure it's not going to infinity." Harmonic Series: *am I a joke to you?*
"How about we make it flippy-floppy?" "Why would that affect convergence, it makes no..." "..." "Yeah okay"
ln
Proof by continuously dabbing in a livestream for 30 minutes straight
FAT cat oh trust me, I am 100% sure he knows what I mean
but can you prove it?
Nxt Master ebic bruhve: kzhead.info/sun/n6uwmLKDrWJrhqs/bejne.html
I have evidence the earf iz flat: for small values of y=sqrt(1-x^2) is equal to y=1 a flat noncurved line, check mate atheists. circle = line (proof by desmos graphs). QED
@FAT cat implying globes even exist what a noob. you can't have gravity without spheroids and there is no proof they exist DUH ;)
3:11 engineers be like "1 hour later"
Giovani DL proof by approximation
I'm studying engineering and I literally said in my head "that's kinda one hour later" XD
Proof by existence of proof: Everything must have a proof, even if no one is smart enough to find it. QED.
HolyMith bizarrely man, your comment doesn’t belong here math.stackexchange.com/questions/1642225/proving-the-existence-of-a-proof-without-actually-giving-a-proof
Actually the right statement was proven that some true statements (in a consistent system of axioms, for example arithmetic) cannot be proven. I refer to Gödel's incompleteness theorems
Proof by Wolfram Alpha; they say it's unsolvable, so it is!
P=NP Assume N=1 LOL🤣🤣🤣
_problem solved_
(sin x)/n=six=6
Another important technique is the 'proof by spy' where you access last year's (or another student's) solution where they say that the statement holds.
Proof by Exercise: Claim it is a trivial exercise and let someone else prove it.
Since the proof is trivial is left as an exercice for the teacher.
My man walks in to see if his friend wants coffee and he’s got a piece of chalk in his hand. Math people are wild.
Proof by Exhaustion "... zzzzzzzzzzzzzzzzzzzz..." und so weiter
Product (z) from n=1 to inf
(should be -inf to inf of course)
"Jaja, mach ruhig, alles gut" glugg glugg gluCC
If one exchanges all epsilons and deltas in Calculus book (deltas instead of epsilons and vice-versa), all the definitions and proofs would still be correct, but most of mathematicians would have VERY HARD time trying to read it :)
AllMyCircuits Holy crap that is hilarious to think about. Someone should actually do this.
Proof by collusion In exam: Hey bro. How do you prove number 3?
Did you just dare to say my harmonic series converges exactly on the day I had my analysis 2 final? Nvm we all deeply know that the epsilon equal or less than zero was worst and probably some kids died just because of that
As a CS student, the "proof by accumulated evidence" called me out so hard
3:24 I love that the implicit funct theorem: Starts with eps
6:57 every one trying to prove Goldbach conjecture with highschool math 3 in the morning
Proof by apathy: It’s probably true, therefore it’s true. Boom. Suddenly you prove: The Riemann Hypothesis, Goldbach Conjecture, and whatever you want- all in one stroke!
i really like the theorem at 6:57. It is very straight forward if you understand numbers. It is also a good mental exercise for someone who has never thought of something like it.
What about 16
@@mememachine3029 5 and 11, or 13 and 3.
one of my favourite profs taught mathematical physics - his approach was to outline his proof on the blackboard before turning to the class & nodding his head very quickly! PS proof by higher authority made me think of the reimann hypothesis xD
We have e^(Pi * i) = -1 Squaring both sides gives e^(2 * Pi * i) = 1 Simplify i*i e^(-2 * P) = 1 Take the natural log of both sides -2 * P = 0 Therefore P = 0 So for all N, we have P = NP QED
We just covered the Implicit Function Theorem in my analysis class and I feel that part so hard now lmaoooooo
:'D
Always a pleasure to meet a fellow homestuck sucked into the joyous world of mathematics
I love your videos! The way you present math is really charismatic. I look forward to learning more with you. :)
I love these skits Papa, loved you dropping greatest the unproved problems in math and just destroying them
Proof by intimidation works well when you're absolutely shredded.
Proof by tautology: let's assume the statement is true, then it's true. QED.
Proof by large, strangely shaped commuting diagrams, and proof by example if the example is sufficiently general (usually after a small lecture on how proof by example doesn't work, but it will suffice in this case).
Wow I’m literally in love with this video 😂😂😂 great work man 👍🏾
8:44 how to be the first mathematician to ever prove a false theorem in their PhD thesis
6:35 that's how we do here in france
love your channel by the way
For the statement being proved at 1:02 , the negation of "Your momma is fat and gay" would be "Your momma is not fat or not gay", which would then divulge into cases, both being trivial as it's obvious that that both cases are false.
You missed:" that is homwork and you can proof it by yourself and it is so easy and we have no time for this" every Student:"Yeah sure we have no Hobbys except math"
On a number theory exam, I once proved that the number of partitions of n into odd parts was the same as the number of partitions of n into distinct parts by drawing Ferrers diagrams. I didn't get full credit, but I got most of it. So there's an example of proof by pictures (somewhat, I did have to write some shit).
I love you bruh. This video is pure gold
Was struggling with proof by contradiction in my discrete math course, watched this and now i understand 😂
The background music is from the Wii Mii creation tool right? Nostalgia...
hahahhah andrew is not an element of the smart people. shots fired
Proof by esthetic: It seems so beautiful and simple that it has to be true.
I really enjoyed watching your show!!!! Fascinating. ☺️☺️☺️☺️
Proof by acts of divinity "It was revealed to me in a dream"
You know, if I hadn't taken my first proofs classes this year, I would've probably thought the first one was an exaggeration
"Why don't I make a python script and check a bunch of numbers" so relatable hah
_Trivial_ content? Loving it.
I usually use the proof by beauty. It has worked for phycisists and philosophers before, why not math? Bonus: You can disprove the Riemann-conjecture by simple use of Murphys law. The proof is left as an exercise for the student.
9:46 thats honestly what i do most of the time when i'm trying to check my programs for bugs
3:14 is acctually ez with the needed informations about stochastics. We did this in our homework a lot.
My favourite one, works for any proof in probability theory & functional analysis: "by properties of measure theory, we have"
When i first watched this I was so cringed, and thought this wasn't funny at all... Here I am, 2 weeks after starting to do proofs. Shit this is hilariously genious!
3:50 I actually say "Q. E. F***ING. D" every time I finish a homework proof
I love how professor Dotson gives the Goldbach conjencture as a small excersise.
Flammable Maths HAHAHAHAHAHA that's pretty funny
I've never had a good time making proofs, because i've never need them (I study systems engineering), but now a teacher leave me as homework to prove 9 (simple) vectorial analisis problems, things like "prove that these vectors coincide at some point" and things like that.... buts i just CAN'T make it!... And suddenly, this video apears and shows me that not even mathematicians are always good at proofs.
Yeah these proofs by intuition definetly screwed me over... There's a reason why something is called just differientiable and not always continuously differientiable
That dude gulping at the end
Finally a video on the actually most used proving methods :)
3:36 That was a fucking clever way of giving a shout out to andrew dostson
7:07 Ahh the classic theorem of engineering: Sin(x)=x.
Proof without help of the lecturer: "If you don't know how to prove this, you can come to me after the lecture, and I will help you to withdraw your documents from this university". Happened on calculus 2 in my uni, lol.
Currently I am working on 'proving' a theory | theorem on Angular Momentum.
That intuition that the harmonic series converges got me good - it was such a mindfuck when I found out that it wasn't