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.
Пікірлер: 422
40 text book pages compressed into a 30 minute video is a blessing! Thank you
@gdiaz8827
Жыл бұрын
L
@b52747
Жыл бұрын
the power of visualisation
@nithishnagendra
Жыл бұрын
@@b52747 whaat in the world??
@jarrodanderson2124
3 ай бұрын
Someone has never seen a textbook!
@joaomane4831
2 ай бұрын
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...
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
2 жыл бұрын
It's 2:00 as I read your comment haha
@mauriciofuentes7638
2 жыл бұрын
Literally me lol
@HadiaaidaHadiaaidaH
Жыл бұрын
I’m doing this for school
@ash394
Жыл бұрын
No
@ayushagrawal8198
Жыл бұрын
@@ash394 why?
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
8 күн бұрын
Meanwhile they have a high regard for our videos. How funny things are.
this is the most underrated video ever, well explained and all of set theory in one video is just perfect for studying
@ipodtouch470
Жыл бұрын
Perfect for cramming or reviewing. Wouldn’t really say studying
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
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
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.
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!
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 :))
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 :]
Hats off to this guy for giving us free knowledge🙌
Simple, elegant and well-expressed!, brother. Keep the good work up!
@DrWillWood
2 жыл бұрын
Thanks so much!
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
2 жыл бұрын
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!
This has been sooo useful. I needed to refresh on set theory and here it is.....all in one video.....thanks for sharing!
This video is so underrated and words cannot describe how much it means to me and my exam you earned a new sub
A great introduction. 30 rewarding minutes. Thank-you!
This content is brilliant! Please keep doing it it’s extremely helpful!
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
Жыл бұрын
damn you're a nice person, did he improve or did anything change?
@nithishnagendra
Жыл бұрын
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
This is a hidden gem! Thank you so much!
What a god. I had to pause sometimes, but the video itself was pretty good! Thanks for kickstarting my studying.
Thank you for such a complete and intelligible introduction to set theory!
My memories of set get restored 😌. Thanks a lot !! ❤
Thank you, you explained everything so simple and clearly!!
You have no idea how much i appreciate this excellent explanation thank you so so much sir. Thank you
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.
By far the best video on sets :) Comprehensive yet concise
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.
I am really grateful for your job, it was an amazing video!
Amazing, well explained just to my expectations, thank you so much sir
Much respect to you sir. This is amazing stuff.
I'm learning Typescript and your video came in handy, because there are union and intersection topics from set theory. Thanks
You're very organized and you're so smooth
You're the best! Thank you very much! Going to make flash cards from my notes on this now!
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
Жыл бұрын
Wow that's great 👍 Can I connect with you?
Extremely helpful when dealing with relational databases.
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
9 ай бұрын
Thanks a lot!
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
This video is wonderfull ! keep pushing like these contents. What a miracle I found this video ! Respect
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
8 ай бұрын
I'm watching this to prepare for tomorrow's test lol
Great instructions! Never seen like it...precise.
Thanks man, this really helps with my studies!
This video is a blessing 🙏🏻
Bless you Very helpful introduction
You sir are a lifesaver.
perfectly explained👌, thanks.
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.
Thank u so much for this video It helped me to understand sets better ....
very helpful for summarising and refreshing on this subject.
tysm for such a neat video! it was SO helpful 😊
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.
Thank you very much. I learned a lot in 30 minutes. Brilliant
set and subset theory made simple good job brother keep it up
This is awesome. Subscribed!
Incredible video, thank you so much!!!
@DrWillWood
Жыл бұрын
Thanks! Glad it was useful!
made this unit so much easier for me thank you !!!!!!
very well explained. really easy to understand. thanks for such a wonderful content. keep it up
Extremely helpful thanks so much
Amazing video this helped me alot for my finals
Thank you for this!
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
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.
amazing video! you really saved the day!
This video is amazing! Thank you!
@DrWillWood
2 жыл бұрын
Thanks a lot!
Amazing video teacher !! ♡♡ your efforts can be clearly seen. 🔥 Thanks a lot ;))
i loved your simple animation style
@DrWillWood
2 жыл бұрын
Thanks! :-)
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
Жыл бұрын
Wut… I’m learning this in 7th grade
@noobtuber7499
Жыл бұрын
@@HadiaaidaHadiaaidaH SAME
@noobtuber7499
Жыл бұрын
@@HadiaaidaHadiaaidaH Is it hard for you to comprehend?
@gianglai7346
Жыл бұрын
CS is just easy af if they still do 7th grade stuff
Wonderful explanations & illustrations
@DrWillWood
2 жыл бұрын
Thank you!
this video have so well explanation while this video is underrated for a lot of people
You did really great work! Thank you for this video 🙏🙏 Love from indian 🇮🇳🇮🇳
thank you so much, this is what the future of education looks like
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
It was helpful. Thank you❤
Nice video Dr. Will Wood!
I have just discovered your videos. You are great explaing maths. Clear, neat and beautiful contents. Thank you very much!! Congratulations!!
@DrWillWood
2 жыл бұрын
Thank you! Appreciate the kind words :-)
this is amazing !
Thank you for the video.
WOOOOOOOOOW! JUST WOW!
Thank you so much watching from Nigeria
It was very helpful for me thanks 🙏
It really help since I waste 5 day learning a week and still get nothing but just 30 min whoa I understand thankyouuuuu
Take a shot every time you hear union
@drvilasbhusare526
2 ай бұрын
Tried it with water and now I'm ABT to explode
@simplyfall393
2 ай бұрын
The Soviets would be proud
thanks for great video!
Thank you ❤
I love your explain thank u so much
Man this is good🔥
I feel like I've been enlighted this was great!
sick video i learnt so much thanks :D
Thank you so much Dr. It is an amazing video, absolutely amazing. Thank you a million times ✔✌👌👍
@DrWillWood
2 жыл бұрын
Thanks for the kind words :-) glad it was useful!
Thank you sir 🙏 ❤
you are a literal angel sir, thank you so much for this 😁
@DrWillWood
2 жыл бұрын
Thank you! Glad it was useful :-)
You are a legend
This will be useful for my exam tomorrow
your explaination so gud!!
This is very helpful 🎉
Me as a maths student doing graduation i m done with these concepts long ago🙈 By the way appreciate your nice efforts!😊
Thank you for your delivery this topic set theory to us
Thank you sir❤
Actually I remembered my lesson again by seen ur vedio nice man keep going and I like ur voice
that's amazing
this is the most video thank you