Set Theory | All-in-One Video

In this video we'll give an overview of everything you need to know about Set Theory
Chapters:
0:00 The Basics
4:21 Subsets
7:25 The Empty Set
8:21 Union and Intersection
20:02 The Complement
24:10 De Morgan's Laws
26:13 Sets of Sets, Power Sets, Indexed Families
27:58 Russel's Paradox
The product links below are Amazon affiliate links. If you buy certain products on Amazon soon after clicking them, I may receive a commission. The price is the same for you, but it does help to support the channel :-)
The Maths Essentials series is based on the books:
Understand Pure Mathematics (Sadler & Thorning) - amzn.to/3nMxgNw
The Foundations of Mathematics (Stewart & Tall) - amzn.to/3oOS4mG
This video was made using:
Animation - Apple Keynote
Editing - DaVinci Resolve
Mic - Blue Yeti X - amzn.to/3nJbmdO
Supporting the Channel.
If you would like to support me in making free mathematics tutorials then you can make a small donation over at
www.buymeacoffee.com/DrWillWood
Thank you so much, I hope you find the content useful.

[@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?

[@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?

[@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

[@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

[@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 :))

[@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.

[@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 :]

[@kojonketia9231]

Simple, elegant and well-expressed!, brother. Keep the good work up!

[@DrWillWood]

Thanks so much!

[@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

[@mteetonsingofficial]

Hats off to this guy for giving us free knowledge🙌

[@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

[@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.

[@willykitheka7618]

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

[@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.

[@donutmerchant8393]

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

[@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!

[@adxrexashroadto50subsprayf38]

This video is so underrated and words cannot describe how much it means to me and my exam you earned a new sub

[@mcgcstudio8780]

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

[@cloud_222]

This is a hidden gem! Thank you so much!

[@suryahitam3588]

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

[@anastasiaoikonomou4347]

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

[@adammohammed397]

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

[@5SADH]

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

[@antaresd1]

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

[@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

[@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

[@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?

[@omaral-hassan869]

You're very organized and you're so smooth

[@robertomorales1460]

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

[@user-qi3om9gx6o]

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!

[@ohlookadandelion]

tysm for such a neat video! it was SO helpful 😊

[@elifas2012]

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

[@jamesogada3833]

Much respect to you sir. This is amazing stuff.

[@margaret8114]

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

[@CR7_Gaming110]

Thank you soo much, you summarized so many lessons in one video. I have prepared 2/3 of the chapter.

[@user_08410]

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

[@CrankyRayy]

very helpful for summarising and refreshing on this subject.

[@poofbegone8726]

Thanks man, this really helps with my studies!

[@abderrahmanejebbari4103]

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

[@theplateisbad1332]

Extremely helpful when dealing with relational databases.

[@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

[@mukhtarguled5605]

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

[@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

[@user-ym4vs1od3z]

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

[@Gandals]

Bless you Very helpful introduction

[@SammyZoranu]

This video is a blessing 🙏🏻

[@khaledabdessamed8612]

perfectly explained👌, thanks.

[@ahmadgee9068]

This will be useful for my exam tomorrow

[@matomemaseta6997]

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

[@SahagonSofiaDanielle]

Thank you for this!

[@justinotherpatriot1744]

This is awesome. Subscribed!

[@PHASES_STUDIO]

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.

[@rameshyadav7176]

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

[@iarawy.]

The perfect. Idea doesn’t exi… THIS VIDEO:

[@S..a..m.]

Extremely helpful thanks so much

[@brookeeden902]

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

[@rogersrotich4311]

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

[@Patlichan]

You sir are a lifesaver.

[@rook839]

amazing video! you really saved the day!

[@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

[@mariatahir6144]

Amazing video this helped me alot for my finals

[@B8B_bunny]

Amazing video teacher !! ♡♡ your efforts can be clearly seen. 🔥 Thanks a lot ;))

[@ThePiMan0903]

Nice video Dr. Will Wood!

[@georgesadler7830]

Thank you for the video.

[@komeonogomuho2113]

It was helpful. Thank you❤

[@b52747]

this is amazing !

[@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.

[@Bossman-gw4ch]

Beautiful subject and video

[@henreereeman8529]

Incredible video, thank you so much!!!

[@DrWillWood]

Thanks! Glad it was useful!

[@HNMCK]

This video is amazing! Thank you!

[@DrWillWood]

Thanks a lot!

[@derinafan]

It was very helpful for me thanks 🙏

[@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

[@Jaisukee]

Thanks for this. I understand a lot better now! Do you mind linking the background sound you used in the video as well please?

[@user-cc7go1gl8x]

This is very helpful 🎉

[@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.

[@balidevclub4404]

thanks for great video!

[@aron9550]

THANKYOU!

[@sneha10010]

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

[@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 :-)

[@cow20000.]

Thank you ❤

[@Sebastian-wx2td]

sick video i learnt so much thanks :D

[@shreyashbhosalefc6330]

Thank you sir 🙏 ❤

[@alliesteele6282]

I feel like I've been enlighted this was great!

[@KoakkoryomNhial]

Thank you for your delivery this topic set theory to us

[@aziengbejoy]

Man this is good🔥

[@hypexgaming7196]

i loved your simple animation style

[@DrWillWood]

Thanks! :-)

[@alisonndapasowa1764]

Wonderful explanations & illustrations

[@DrWillWood]

Thank you!

[@imenesama2569]

I love your explain thank u so much

[@aminesa2531]

thank you teacher you are great

[@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🤔

[@BigMachine999]

Thank you sir❤

[@GatwechDengKun]

that's amazing

[@nasirmuktar8600]

Thank you so much watching from Nigeria

[@mxjx2271]

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

[@Yahyia-cv3sx]

Ready? Get set. Go!

[@tubex1300]

will you add permutation, string point polygon tree and graph as the whole as the videos above?

[@Harshi918]

Which bgm have you use this video ? I really like it

[@Himanshu-mj4xx]

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