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!
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
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.
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
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 :]
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.
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
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.😊
@@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.
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'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.
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.
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!
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.
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
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:)
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!!
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.
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!
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
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.
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.
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 am studying for my college and thank you for making this very good video and it's very densely filled with information, thanks for making this quality education content.❤
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🙂
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.
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
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
40 text book pages compressed into a 30 minute video is a blessing! Thank you
L
the power of visualisation
@@b52747 whaat in the world??
Someone has never seen a textbook!
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!
It's 2:00 as I read your comment haha
Literally me lol
I’m doing this for school
No
@@ash394 why?
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
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.
Thanks a lot!
this is the most underrated video ever, well explained and all of set theory in one video is just perfect for studying
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
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 :]
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.
damn you're a nice person, did he improve or did anything change?
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
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.😊
Meanwhile they have a high regard for our videos. How funny things are.
They have shortcuts which help us to understand fast.
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.
@@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.
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'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.
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.
Thanks
thanks for the support!
thanks. i'm all set.
ajajajahgahagahajajahagagagaggahhahahahahaha
say that again
Literally
Wow
😂
My memories of set get restored 😌.
Thanks a lot !! ❤
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!
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.
What a god. I had to pause sometimes, but the video itself was pretty good! Thanks for kickstarting my studying.
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.
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
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:)
Learn full calculus immediately, there is still time for you
@@xxsamperrinxx3993 just so we are clear calculus is not something that can be done immediately I needed 2 months and I'm in 10th and a topper
Hats off to this guy for giving us free knowledge🙌
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!!
Wow that's great 👍
Can I connect with you?
Extremely helpful when dealing with relational databases.
love the style of this video. i wish university was as clear as this.
Thank you for such a complete and intelligible introduction to set theory!
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.
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!
I have a headache but i cant believe i understood the concept of the unit in 20 min
This video is wonderfull ! keep pushing like these contents. What a miracle I found this video ! Respect
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
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.
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.
same😂
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 :))
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 😅
I'm watching this to prepare for tomorrow's test lol
You did really great work!
Thank you for this video 🙏🙏
Love from indian 🇮🇳🇮🇳
I am studying for my college and thank you for making this very good video and it's very densely filled with information, thanks for making this quality education content.❤
this video have so well explanation while this video is underrated for a lot of people
thank you so much, this is what the future of education looks like
It really help since I waste 5 day learning a week and still get nothing but just 30 min whoa I understand thankyouuuuu
Me as a maths student doing graduation i m done with these concepts long ago🙈
By the way appreciate your nice efforts!😊
This video is a blessing 🙏🏻
{Russel}+{l} = {Russell} Your presentation was enlightening.
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!
I'm learning Typescript and your video came in handy, because there are union and intersection topics from set theory. Thanks
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🙂
same bro😌
very helpful for summarising and refreshing on this subject.
A great introduction. 30 rewarding minutes. Thank-you!
I am really grateful for your job, it was an amazing video!
By far the best video on sets :)
Comprehensive yet concise
Amazing, well explained just to my expectations, thank you so much sir
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
Wut… I’m learning this in 7th grade
@@HadiaaidaHadiaaidaH SAME
@@HadiaaidaHadiaaidaH Is it hard for you to comprehend?
CS is just easy af if they still do 7th grade stuff
This has been sooo useful. I needed to refresh on set theory and here it is.....all in one video.....thanks for sharing!
You sir are a lifesaver.
This is a hidden gem! Thank you so much!
set and subset theory made simple good job brother keep it up
Take a shot every time you hear union
Tried it with water and now I'm ABT to explode
The Soviets would be proud
Incredible video, thank you so much!!!
Thanks! Glad it was useful!
This will be useful for my exam tomorrow
very well explained. really easy to understand. thanks for such a wonderful content. keep it up
I learnt a lot from this. Thanks and God bless you for this good work.
you summarised 4 weeks of content in 30 min
i searched for "set theory for dummies" and that's what i found and to be honest i did understand it, thx
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.
Great instructions! Never seen like it...precise.
i loved your simple animation style
Thanks! :-)
Thank you very much. I learned a lot in 30 minutes. Brilliant
This content is brilliant! Please keep doing it it’s extremely helpful!
You have no idea how much i appreciate this excellent explanation thank you so so much sir. Thank you
A whole chapter + extra things in 30 mins is crazy!!!🥲. My teacher will be jealous.Lol😅
made this unit so much easier for me thank you !!!!!!
This is very helpful 🎉
Thank u so much for this video
It helped me to understand sets better ....
very good for students😁😁😁😁
this is true
Well explain. Great Job😉
Much respect to you sir. This is amazing stuff.
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
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
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
Thank you, you explained everything so simple and clearly!!
Actually I remembered my lesson again by seen ur vedio nice man keep going and I like ur voice
Man, you are underrated
But,Keep up the good work
Thanks ❤
This makes Java and C# OOP style programming make so much more sense now....
28:18 thanks for the shoutout!
tysm for such a neat video! it was SO helpful 😊
It was very helpful for me thanks 🙏
Bless you
Very helpful introduction
Leaving us with a paradoxical cliffhanger 😂
Thank you sir❤
Bro you saved me because I’m having a quiz tomorrow tysm
Thanks man, this really helps with my studies!
Math exam tomorrow. I love you
amazing video! you really saved the day!
Thank you so much watching from Nigeria
you are a literal angel sir, thank you so much for this 😁
Thank you! Glad it was useful :-)
Amazing video this helped me alot for my finals
The video is ok, and I was even learning from it.😊
0:04 Thank you
1:26
1:46
2:42
3:02
3:32
Nice explanation.
Thank you sir.
NICELY DONE.THANKS