Set Theory | All-in-One Video

[@patrickruger3325]

40 text book pages compressed into a 30 minute video is a blessing! Thank you

[@gdiaz8827]

L

[@b52747]

the power of visualisation

[@nithishnagendra]

@@b52747 whaat in the world??

[@jarrodanderson2124]

Someone has never seen a textbook!

[@joaomane4831]

At most this would cover 4 to 5 pages and even what I'm saying might be a hyperbole. It's really not a lot of information...

[@ayushagrawal8198]

me at 2 am: should i go for it? edit: i love how this comment has been in the journey of so many, with the same experience of late night study. best of luck for the future! study hard!

[@RazgrizDuTTA]

It's 2:00 as I read your comment haha

[@mauriciofuentes7638]

Literally me lol

[@HadiaaidaHadiaaidaH]

I’m doing this for school

[@ash394]

No

[@ayushagrawal8198]

@@ash394 why?

[@gorilla452]

It is a miracle that I stumbled upon this video, I got introduced to set theory a few weeks ago without being explained what set theory is and how it works just learning what stuff means and how to apply. Thanks to this video I've filled the holes in my understanding. Such an underrated video and channel. 👍here's a like and sub

[@Brad-vp7jp]

May I just say something, I am not a person who comments or likes OR subscribes AT ALL, not anymore though. This content got me tearing up, more detailed than any other video with wayyy more possibilities in which other videos don't care about. The pace is beautiful. Respect! #Respect

[@tahz9742]

this is the most underrated video ever, well explained and all of set theory in one video is just perfect for studying

[@ipodtouch470]

Perfect for cramming or reviewing. Wouldn’t really say studying

[@Itisheylel]

Thank youu…my teacher’s a bit quiet. So I have to self study to understand topics. He mumbles through his lectures and he seems to be quite introverted (kinda meek). My classmates were stepping over him (judging and criticizing mistakes) because of his seemingly low self-esteem and I feel bad for him. I really hope he gets out of his comfort zone so everybody will feel the authority and he can get his respect.

[@RaiseThePressure]

damn you're a nice person, did he improve or did anything change?

[@nithishnagendra]

my teacher's the same too everyon'e jumpy whenever he enters the class he only pays attention to first benchers the class gets too noisy too quickly whenever he enters cuz of that and mental pressure he drunk posts in google classroom as if he's talking to his ex😅😂 sometimes i feel mad cuz of him sometimes i feel sorry for him i hope he improves himself in maintaining the our class or he should leave our class and teach som1 else that's the only option

[@lucywoomy]

I'm studying for a test and I was looking for videos of the lessons because I can't fully understand my written lessons. I need someone to explain to me and that's why videos are so perfect for this. I'm glad I found your video! It was very clear and to the point. Thank you for doing this, it helps a lot and we appreciate it :]

[@angelustychicus6192]

I've never understood any other lessons on set like this before. It opened my eyes to see what I couldn't see in other lessons. Thanks. Much appreciated.

[@rajdipsutradhar6414]

I can't understand why I find it much easier and more comfortable to grab a concept from a foreign channel than our desi one. Their way of presenting is very lucid.😊

[@jewelbency5072]

Meanwhile they have a high regard for our videos. How funny things are.

[@sharbinislam9468]

They have shortcuts which help us to understand fast.

[@ghostofuchiha8124]

Desi are too focused towards getting marks in jee or other exams. They are not good if you are learning for the sake of learning and fun.

[@rajdipsutradhar6414]

@@ghostofuchiha8124 yeah and because of that learning physics, maths, chemistry from their book is fun ☺️.I read calculus, written by two foreign authors,from Pearson publishers 15 years back and got interested in pursuing a maths Major. Also physics for entertainment by Yakov Perelman.

[@nolawimulutsehay]

My guy you are a smart. it is hard to note down all the types of set but, here u are destroying it. keep it up we students expect a lot from you. now i think about u are better than my actual math teacher. i will definitely tell my friends about this channel. AGAIN THANK YOU VERY MUCH.

[@DrWillWood]

Thanks a lot!

[@SavvySaxy]

I’m a senior in high school and I’m wanting to major in math, I thought I’d look into this and it seems interesting :) thanks for the vid. I feel like I learned a lot of this stuff throughout my years in high school because teachers would show us those symbols and tell us what they meant to make our lives easier

[@mcgcstudio8780]

My memories of set get restored 😌. Thanks a lot !! ❤

[@northernlight7161]

thanks. i'm all set.

[@jkozi4227]

ajajajahgahagahajajahagagagaggahhahahahahaha

[@nirochan4591]

say that again

[@ahaaahCall_anAambulance]

Literally

[@NobleAbsinthe]

holy moly this video is great, my prof went on and on for 2 and a half hours and I felt like I was in limbo. Like I got bits and pieces but this concretes stuff so nicely!

[@mteetonsingofficial]

Hats off to this guy for giving us free knowledge🙌

[@drvanon]

Your channel is invaluable! The quality is truly outstanding and really harkens back to the philosophical principles of the internet as a method for the effective sharing of knowledge. Thank you for your generosity.

[@DrWillWood]

Thanks a lot! I learned so much from Khan academy and MIT OCW (as well as many others) back in the day so I absolutely love the idea of freely sharing knowledge online!

[@Phymacss]

We’re gonna learn set theory in a few days, so I thought why not get a brief idea about it. But honestly, it feels like this just summed up the whole unit in my text book, not just gave me a little idea!. Thank you so much!!

[@JossieDex]

Wow that's great 👍 Can I connect with you?

[@cyclonevii_0]

Have an entry exam tmr which had this as one of the topics, learned it the night before the test and aced it. Thank you.

[@KalebPeters99]

This is really really great stuff! So neatly described and exaustively motivated, it really helped my understanding. I super appreciate the section markers too. They make it a lot easier to navigate and double back if I get confused. Keep up the great work, Dr Will! I hope you get some more widesperad recognition soon :))

[@lazerlord_lance]

I've stumbled over this video because I was working on a homework assignment for school, which actually had to do with integration. One of the exercises had us prove a certain property of certain functions, where I found that in specific cases you can end up with a function with an empty domain. Eager as I am to dive down any random rabbithole that comes my way I tried to figure out if a function with an empty domain can even be considered a function. Apparently that's a question not many people ask themselves as I didn't really find a satisfying answer. I then stumbled over the definition of functions in set theory, which I was not at all able to grasp, so I turned to this video. I am yet to be any wiser in regards to my original question, but at least I now know about set theory, which is nice I suppose. Also I found your video really easy to follow, even with my limited 12th grade level (on a german school that is) understanding of maths.

[@robertomorales1460]

What a god. I had to pause sometimes, but the video itself was pretty good! Thanks for kickstarting my studying.

[@PHASES_OFFICIAL]

I like to think of russels paradox this way (my own little rule) "A set does not have to be defined as containing itself if it does contain itself unless defined for such purpose." Its my understanding of it, just my two cents, Thanks for the video it helped a lot.

[@5SADH]

Thank you for such a complete and intelligible introduction to set theory!

[@Connikiru]

love the style of this video. i wish university was as clear as this.

[@Is4xx]

i have a Olympiad tomorrow and i need to study this topic for it. Thankgod i found this video because i am in 9th grade and my teacher said that i couldn't learn this topic rightnow but this video really did help me and now maybe i can solve some questions tomorrow:)

[@xxsamperrinxx3993]

Learn full calculus immediately, there is still time for you

[@theplateisbad1332]

Extremely helpful when dealing with relational databases.

[@hakandenizkale8010]

The video was quite nice, though I *believe* there is a mix-up at 25:31; where the narrator (probably Dr. Will Wood, thanks a lot btw, appreciate the simplistic overview) states: *"Notice that we are allowing numbers (that are) greater than a hundred, but only those that are not prime"* Which would be: *{ complement of

[@chrismoin8881]

That was absolutely beautiful. I really loved the music in the background. Just subscribed because I am going to watch more of your videos in the hope they will help me with my discrete mathematics class. Thank you infinitely.

[@Goldenrose137]

In three days I’ve my finale and I thought I’d surely fail you literally explained more than 20 of my pages in nearly an hour can’t thank you enough sir thanks a lot

[@user_08410]

this video have so well explanation while this video is underrated for a lot of people

[@caimee8616]

This was such a calm and easy to follow video and gave me a further understanding of set theory. I wish I saw this before my math test lol 😅

[@kigr_33]

I'm watching this to prepare for tomorrow's test lol

[@aman7488]

Great stuff! I'm going into an intro to logic class for CS next semester and the visualizations from your work will definitely help me with set logic

[@HadiaaidaHadiaaidaH]

Wut… I’m learning this in 7th grade

[@noobtuber7499]

@@HadiaaidaHadiaaidaH SAME

[@noobtuber7499]

@@HadiaaidaHadiaaidaH Is it hard for you to comprehend?

[@gianglai7346]

CS is just easy af if they still do 7th grade stuff

[@omaral-hassan869]

You're very organized and you're so smooth

[@suryahitam3588]

A great introduction. 30 rewarding minutes. Thank-you!

[@eliasbranchereau5354]

thank you so much, this is what the future of education looks like

[@harikavyshnavam9007]

I am having a test tomorrow and searching for a video and now I am glad that I found your video. My book consisted of 108 problems and all were easy to solve with the help of your video. I really appreciate your work. Thank you🙂

[@PressPlayEdits147]

same bro😌

[@Ceorolus]

{Russel}+{l} = {Russell} Your presentation was enlightening.

[@abderrahmanejebbari4103]

This video is wonderfull ! keep pushing like these contents. What a miracle I found this video ! Respect

[@sneha10010]

You did really great work! Thank you for this video 🙏🙏 Love from indian 🇮🇳🇮🇳

[@ham2207]

Hey I would love to know the background sound, it takes any stress away and by the way amazing video with elegant presentation .Thank you for this

[@elifas2012]

I'm learning Typescript and your video came in handy, because there are union and intersection topics from set theory. Thanks

[@Patlichan]

You sir are a lifesaver.

[@CrankyRayy]

very helpful for summarising and refreshing on this subject.

[@TheMathClassroom678]

Me as a maths student doing graduation i m done with these concepts long ago🙈 By the way appreciate your nice efforts!😊

[@SammyZoranu]

This video is a blessing 🙏🏻

[@BaileyStewart-s2g]

I have a headache but i cant believe i understood the concept of the unit in 20 min

[@mxjx2271]

It really help since I waste 5 day learning a week and still get nothing but just 30 min whoa I understand thankyouuuuu

[@willykitheka7618]

This has been sooo useful. I needed to refresh on set theory and here it is.....all in one video.....thanks for sharing!

[@margaret8114]

You're the best! Thank you very much! Going to make flash cards from my notes on this now!

[@antaresd1]

I am really grateful for your job, it was an amazing video!

[@adammohammed397]

By far the best video on sets :) Comprehensive yet concise

[@cloud_222]

This is a hidden gem! Thank you so much!

[@ruejaeyissara9493]

You have no idea how much i appreciate this excellent explanation thank you so so much sir. Thank you

[@moseskargbo5617]

Amazing, well explained just to my expectations, thank you so much sir

[@cjfantamur1842]

This video made me think "I know I would understand all of these if I take a pause and analyze it carefully" but Im lazy. If my life depends on it, I would go back to this video. Good stuff.

[@marcelxn1chi]

same😂

[@ahmadgee9068]

This will be useful for my exam tomorrow

[@georgeotegbeye]

I learnt a lot from this. Thanks and God bless you for this good work.

[@Jeshua2510]

Great video, thanks a lot! As a non-mathematician, I have a very basic question: you talk of mathematical objects having "nice properties" (e.g. the empty set). In what way do you mean that something is a nice property? E.g. why is the fact that an empty set is a part of every set (which in my naive view seems pretty useless) a nice property? I hear mathematicians talk like this quite often, so I'm very curious! Thanks

[@Mairesist]

A mathematical object is colloquially called nice or sufficiently nice if it satisfies hypotheses or properties, sometimes unspecified or even unknown, that are especially desirable in a given context. - thats all that I found by googling actually lol

[@rogersrotich4311]

set and subset theory made simple good job brother keep it up

[@VeenaPattanshetti]

very well explained. really easy to understand. thanks for such a wonderful content. keep it up

[@Thee-_-Outlier]

Not to be 'that guy', but i think a more clear definition for set thory would replace the term "object" with "information". I find it more applicable across the spectrum of use cases. I see everything in the universe as a set of information, this includes pysical objects. At the end of the day even physicall matter is just a set of information that describes the object. The universe is information and it is comprised of informations sets that are dynamic due to phenomena like transference. Anyways, thats not a novel idea ik, but its why i think information is a better descriptor than object for an element in a set as well as the set itself. To be clear a set can be an element when relatively speaking it is subordibate to another set. Imo if you meditate on set theory theory you will eventually see the wisdom of the dao in it. How we label information and thus create 'objects' often refered to as labels in daoism. If you approach set theory from a purely information standpoint you will see nothing can be boiled down to its true essence or its most basic form. There are no base components to the universe, there are simply nesting sets of information with varying degrees of dependency and transference between them. I realize ive went off on a tangent that makes little sense without context. The context needed requires an explanation of my hypothesis on 'the universe' and how its anything but "uni". Its dual in nature, and if we were to attemtp to find some base order of magnitude or base components to describe the universe it would be that it's totality is comprosed of two components. A 'kinetic' dynamic partition where information is aggregated in real time, this is quite literally a point qe call the present and for clarification sake the present is faily synonymous with my term 'kinetic universe'. This is what we affectionately call reality because its the partition of the 'dual' universe we reside in and can directly interface with. The other partion i describe as the 'potential' universe. This partition is static and contains all the information, aka the total set of information, to this point. There is transference between these two partitions and what this transference does is supply the dynamic information from the kinetic partition to the static partion this expanding the data set of the static partition. This leads to an infintely growing data set that is arranged in an infinite number of ways over time that would also at least seem self similar in nature because the present morphs linearly because of time. As you can imagine this seems to describe a fractal and fractal patterns are often associated with life, evolution and our universe as a whole. the base order of magnitude of our universe will eventually be described by a fractal . Fractals seem uniquitous and if i had to gues the basic formula/equation that descibes all things simply, p=np, will output a fractal pattern. So those autistic math nerds out there trying to collect on the p=np proof id eecommend you narrow your focus down to set theory and fractal geometry. If i had to speculate i would conclude that p does not equal np but it comes confusingly close in the sense the answer to a complex problem is not static. So imo p=np in the present only, which is to say it might as well not be true because there is no proof due to the fact the proof always lies in the fleeting present, which is functional ionally not a proof. Feel free to correct me if im making any findamental thought errors in ky logoc on the matter

[@brookeeden902]

made this unit so much easier for me thank you !!!!!!

[@pulsar.]

you summarised 4 weeks of content in 30 min

[@adrianandrews2254]

Excellent video for a newcomer to Set Theory like me. However, I come to this from fully understanding combinatorial logic and I can't make sense of three things: 1. What do you call the set of all thing that are NOT ( ( in A and in B) or (NOT in A and NOT in B) ) and what symbol do you use (Logical XOR) . 2. How to define a set whose contents is the numeric value of each element of a natural number written to a given base eg 4 to base 10 will contain 10 and 4 whereas 4 to base 2 will contain 2 and {1,0,0} - which is not the same as {0,1,2} ! This enables a definition for the BITWISE OR, AND and XOR for any base >1. This is surely required to show the difference between a number and the representation of a number in textual form because otherwise every number could be represented by the set {0,1} because {0,0,1} = {0,1} etc.and all natural numbers can be written in base 2. eg. {3}= {11} = {1} , {2} = {10} = {0,1} = {1}. This is like saying all natural numbers are = {1,2,3,4,5,6,7,8,9} because that set includes 99 and 53 and.... . This is TRUE for the representation of the number but FALSE for the number itself. In set theory how can you tell which domain you are considering ? Is there an axiom ? 3. The axioms used here seem to prevent the definition of the natural numbers in terms of the number of subsets of the Powerset of the Empty set, and thus undermines the whole of number theory (uniqueness of elements refers). I hope i'm wrong here. Useful comments would be appreciated.

[@Aqoonyahan21st]

Great instructions! Never seen like it...precise.

[@Jawz_345]

This really helped me out. I changed majors and was forced to take 101 after taking another math. I had no idea what the heck I was looking at. It still confuses me a little because I have never been the math type (I am in law). At the end of the video, however, I really learned a ton that will hopefully help me pass this quiz, test, and course.

[@matomemaseta6997]

Thank you very much. I learned a lot in 30 minutes. Brilliant

[@zilog1]

This makes Java and C# OOP style programming make so much more sense now....

[@hypexgaming7196]

i loved your simple animation style

[@DrWillWood]

Thanks! :-)

[@rameshyadav7176]

Thank u so much for this video It helped me to understand sets better ....

[@henreereeman8529]

Incredible video, thank you so much!!!

[@DrWillWood]

Thanks! Glad it was useful!

[@donutmerchant8393]

This content is brilliant! Please keep doing it it’s extremely helpful!

[@jerrymakaty443]

Well explain. Great Job😉

[@jasomega2446]

0:04 Thank you

[@jasomega2446]

1:26

[@jasomega2446]

1:46

[@jasomega2446]

2:42

[@jasomega2446]

3:02

[@jasomega2446]

3:32

[@Tudachani_fr]

Bro you saved me because I’m having a quiz tomorrow tysm

[@MarthaaMwamba]

This is very helpful 🎉

[@anastasiaoikonomou4347]

Thank you, you explained everything so simple and clearly!!

[@jamesogada3833]

Much respect to you sir. This is amazing stuff.

[@SharumathiSharu-h2o]

Actually I remembered my lesson again by seen ur vedio nice man keep going and I like ur voice

[@mariatahir6144]

Amazing video this helped me alot for my finals

[@Himanshu-mj4xx]

Man, you are underrated But,Keep up the good work

[@NotAGerman]

Math exam tomorrow. I love you

[@Gandals]

Bless you Very helpful introduction

[@mrcellophane226]

i searched for "set theory for dummies" and that's what i found and to be honest i did understand it, thx

[@lucarius4465]

Take a shot every time you hear union

[@drvilasbhusare526]

Tried it with water and now I'm ABT to explode

[@simplyfall393]

The Soviets would be proud

[@renethomas5757]

This is a great video, which will doubtless be helpful to me, as I am due to start a computing course, but please can you answer one question? How can the empty set be unique AND be a subset of any set? It seems to me that there would be as many empty sets as there were sets, which would make it far from unique, merely unique in each set. What am I missing?

[@nasirmuktar8600]

Thank you so much watching from Nigeria

[@ThePiMan0903]

Nice video Dr. Will Wood!

[@poofbegone8726]

Thanks man, this really helps with my studies!

[@derinafan]

It was very helpful for me thanks 🙏

[@dustin20541]

Dr Will, this is a really good video to covering the fundamentals of set theory thanks for making it. Are there any videos you would recommend to watch once you've mastered what is in this video?

[@DrWillWood]

Thank you :-) Of course! there are a few playlists on KZbin I can think of which may be of interest: Start learning mathematics by The Bright Side of Mathematics, Discrete Math by Dr. Trefor Bazett and Introduction to real analysis course by Bill Kinney.

[@upgrade_afterlife]

The music in this is based. Thanks

[@rook839]

amazing video! you really saved the day!

[@aklilubeyene-fq3cr]

I appreciate this video have one question x-1=0 implies x 2-4

[@eyesontheprize19]

Wonderful and well simplified ❤️👌🏽💯 Quick question though...on the question for the blue and white shirts,is it correct to consider blue and white as subsets of the set shirts and answer it from there🤔

[@amazagx]

I have just discovered your videos. You are great explaing maths. Clear, neat and beautiful contents. Thank you very much!! Congratulations!!

[@DrWillWood]

Thank you! Appreciate the kind words :-)

[@the_allucinator]

This is the video I'll show to my mentees in IT should they study Set Theory again.

[@editz51214]

THANK.YOU.SO.MUUUUUCH

[@sydm1073]

25:24 I feel like there is a contradiction between what is written and what you say : You say "Notice we are allowing numbers greater than 100 but only those that are not prime" . I'm going to work it out but with B defined as { x in N | x < 10 } for simplicity and A being the set of prime numbers, De Morgan's Law states (A intersect B)^c = A^c U B^c . Here B = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }, and so the intersection of A and B is { 2, 3, 5, 7 }, the complement of this would be U\{2,3,5,7}. For the right hand side we have A^c U B^c, which gives the Union of the set of numbers which are not prime with the set of numbers greater than or equal to 10 (the negation of < is >=, not > ), So 11 is not an element of A^c however it is an element of B^c thus 11 is an element of A^c U B^c. This is a contradiction to what you say orally (changing 100 to 10, of course). Perhaps I am missing something.

[@BigMachine999]

Thank you sir❤