I am a 68 year old former accounting professor. Your elementary set theory video should be required viewing for accounting students, and I believe it would have value for students in just about any subject. By focusing on general purpose reasoning skills the video transcends subject matter boundaries. By spending a couple of hours with your video today and referring back to it as the need arises, students could avoid countless hours, days, and weeks of pointless flailing around in the future. Specific content comes and goes but logic is here to stay. Your video proves the old adage that there's nothing more practical than a good theory.
@DennisDavisEdu
2 жыл бұрын
Thank you Professor, you lifted my spirits for the day. I agree the topic is general and can be applied to many areas of study. Thanks for your kind words!
@Mikalinium
Жыл бұрын
This video is extremally underrated. I'm surprised that this has only 15k views for such quality.
@abrrrik
6 ай бұрын
i don't usually write comments, but this video is so good that i can't leave without saying that
@trtlphnx
2 жыл бұрын
As A Mathematicain, I Love Your Presentations.
@silambarasanb2475
2 жыл бұрын
Thanks for the video. It was really helpful. I like the crisp no-nonsense delivery of yours. The animations are very smooth, helping better absorption of the material delivered.
@krishnamurari9130
2 жыл бұрын
Thanks sir u are a awesome teacher. Your style of teaching is unique and I like it very much. I found this channel yesterday by KZitem's recommendations and since then I watched 27 of your videos. You are really awesome please upload more videos on other topics.
@_jamal_
2 жыл бұрын
Thanks Sir ! please keep helping us, y're an excellent teacher.
@samburdge9948
2 жыл бұрын
I think you do great work chief….one of, possibly favorite math channels….you should be way higher viewership…..hope you are using other platforms…..gods bless
@03BangBang
2 жыл бұрын
This video came out one day before my 33rd birthday...May the Fourth be with You
@DennisDavisEdu
2 жыл бұрын
...and also with you!
@Luke-dy7np
2 жыл бұрын
I am happy to see another video by you, since you teach in a way which is very easy to understand.
@ITLCstudios
2 жыл бұрын
You are the best teacher❤️
@danielEpifanov
Жыл бұрын
wow you are an awesome lecturer
@femiadeoye4011
Жыл бұрын
I now understand ser theory Thanks to your simple explanation calm voice and what you do that helps you solve problem easily
@educationispower4069
8 ай бұрын
Many many thanks for the video Sir ❤❤❤🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳Love from India ❤❤
@sneakypress
Жыл бұрын
I love ❤ set theory . I have old (1980s) Year 8, and Year 9, maths books and I studied the set theory chapters in great detail. I took very comprehensive notes. For some reason I find it very interesting. It helped a lot with probability and statistics. I like the older mathematics textbooks. Your information and teaching methods are great. 🥳
@rossduncan20
10 ай бұрын
Thank you so much. You've just made my first three weeks of my Masters make sense in 10 minutes
@redwonsagor3901
Жыл бұрын
A true Genuis man.
@humester
2 жыл бұрын
N_0 and N_1 are used to distinguish between a set of natural numbers beginning with zero or one. This notation removes the ambiguity. (Since I can't paste in the actual figures, a_b means a-subscript-b. Also, assume the N is the one Dennis shows with double lines.)
@DennisDavisEdu
2 жыл бұрын
That is an interesting remedy Mr Fever, one I wasn't aware of. Like I said in the video, this didn't seem to be an issue when I was a student. I've also seen ℤ+ (ℤ with a super-scripted +) used to denote positive integers which would fill in for N-sub-1 as you describe. I decided not to give the issue any more time or attention in the video, but students should be aware that there is room for ambiguity. Thanks for your comment!
@sciencedotexplain3654
2 жыл бұрын
Sir I am happy to seeing a new video from Bangladesh,,,,thank you sir❤️
@afreenislam8342
Ай бұрын
Thankyou so much sir, We want more videos like this on another topics..
@nijwmsha
4 ай бұрын
Best VDO. All in One 15:05 ❤
@returned_to_monke8872
2 жыл бұрын
wow, this is gonna be really helpful. Thank you!
@abrrrik
6 ай бұрын
the best set theory explanation ever
@arslanarslan9432
Жыл бұрын
this channel is amazing. Gracias.
@Qongrat
Жыл бұрын
Wowuuuh - super clear and perfect explanation straight to the point. This is great.
@olusegunolumide4168
6 ай бұрын
Thank you soo much for the detailed explanation ❤❤😊
@arnazaron
5 ай бұрын
A VERY good introduction. Thank you!
@humester
2 жыл бұрын
Wow! You are the best!
@AgathaYahaya-ee3bi
4 ай бұрын
Thank you sir. I learnt a lot.
@navigatroncidadesinteligentes
Жыл бұрын
@andrej5027
6 ай бұрын
Thank you sooooo much for making this video dude!!!!!!!!!!!!
@thethinking8558
Жыл бұрын
cantor did a really work
@motivationformuslims1214
2 жыл бұрын
@Dennis Davis Sir I have a question: If the empty is a subset of every set, the how is U complement equal to the empty set. ( Since the empty set is a part of U and not outside it)?
@DennisDavisEdu
2 жыл бұрын
That's a great question. The Empty set is rather strange: it is an idea more than a tangible thing we can examine. The Empty set is a subset of every set simply by definition. When we get to Power sets (the last topic covered in this video), the Empty set is included as one of the subsets of every set (including the Universal set) to provide mathematical closure an completeness to the binary pattern I show. The cardinality of a Power set is 2 raised to the power of the set's cardinality only if we include the empty set as one of the subsets. This is my engineering answer, a mathematician might have a more convincing response. Otherwise when filter conditions yields the "nothing" concept, we represent it with the Empty set. And that's why the complement of the Universal set is the Empty set: What is the answer to the question: "What objects are not in the set that contains all objects?" The answer is "nothing" and hence the Empty set. I confess there are some concepts that as an engineer, I cannot provide as rigorous an explanation as a mathematician might. I hope this does not detract significantly from your enjoyment or learning experience. Best Regards, Dennis
@motivationformuslims1214
2 жыл бұрын
@@DennisDavisEdu great reply sir. Thanks. Yes I myself think that such would have been the answer since some things in mathematics probably run just by definitions. And thankfully for us as engineers, estimations make our day.
@ChinnyBlack_B
4 ай бұрын
Thank u sir. God bless u
@carolinemudenda2495
Жыл бұрын
Thank you sir,I now understand sets.
@jasdeep4000
10 ай бұрын
This video is superb. Thank you.
@d.youtubr
Ай бұрын
Please another video with set relations and functions❤
@abdulrazaqevp7331
10 ай бұрын
Another level of teaching 👍🏻
@DennisDavisEdu
10 ай бұрын
Glad you think so!
@MaryAdeagbo
6 ай бұрын
Incredible 💯
@AG-sp8tc
7 күн бұрын
The picture of subset at 16:10 and the picture of a proper subset on 18:27 are exactly the same. In both pictures, all elements of A are elements of B and B has at least one more element. So why is it that one is called "subset" and the other "proper subset"? This is confusing. Is there an explanation?
@DennisDavisEdu
7 күн бұрын
A proper subset is the most common type of subset. When I introduced the topic at 16:10 I drew a normal (proper) subset. Then later I needed to distinguish between these symbols: ⊂ ⊆ ⊇ ⊃ So to explain the bar underneath the symbol I needed to show that the sets could be equal. When most people think of "subset" they are probably thinking "proper subset" without thinking it has a special name. So in general, I think subset and proper subset are almost always the same thing. Maybe it just seems strange that the common case has the special name (proper).
@alexbennie
11 ай бұрын
Aaaah! I was soo waiting for the reason why Integers = /MathBB{Z}
@motivationformuslims1214
2 жыл бұрын
Thanks. Amazing.
@anthonyleineb7228
Жыл бұрын
Really informative video. Great quality and content. Keep it up!
@ogbonnaconfidence8902
Жыл бұрын
This video is a do helpful
@Dzambo99
7 ай бұрын
Correct me if I'm wrong, but on 38:00, shouldn't the xor of 3 sets exclude the center where they all combine as well?
@DennisDavisEdu
7 ай бұрын
The subset consisting of the intersection of all 3 sets is included in the XOR of all three. First consider {G ⊗ F}: It consists of the "half-moon" {G not in F} unioned with the "half-moon" {F not in G}. Two Venn pieces that are not in the XOR are the intersection of G and F. This includes the middle piece. So when you add the ⊗S operation, the middle piece is included again because it's a member of S but not {G ⊗ F}. It's a little confusing but if you step through the operations one-at-a-time it makes more sense. The general rule for any number of sets (not just 3) becomes: If a fragment of a Venn diagram is the intersection of an odd number of sets, then it's a member of the XOR of all the sets. Because they'll "cancel out" two-by-two (I don't know a better way to explain it without drawing a picture) and any odd numbered element will be left to be in the XOR of all the sets.
@femiadeoye4011
Жыл бұрын
Nice sir
@imimran924
10 ай бұрын
Sir, make videos on algebra basic to advance, please
@ppali11
8 ай бұрын
How is it possible that there are infinite sets differing in cardinality? If equality of cardinalities depends on existence of bijection, that is on ability of pairing all elements, then the argument for one infinite set being bigger breaks down: we will never run out of elements from one set to pair up with elements of the other. What is clear for finite sets is not so for infinite. Power set of infinite set is supposed to be bigger than the set itself but it is impossible to run out of elements in either, so the reasoning really breaks down, and the ability of pairing elements cannot be the basis of the proofs. Is there another reason to consider one infinite set as bigger that the other?
@DennisDavisEdu
8 ай бұрын
You ask deep and interesting questions about levels of infinity suitable for discussion between mathematicians and philosophers. However, I'm just an engineer and my interest in a field extends to extracting what I need from it to solve problems. So I don't have anything insightful to share on the topic. But I agree your questions are good ones.
@kdramalover2121
5 ай бұрын
Thank you ❤
@painpeace3619
4 ай бұрын
Good video
@Velereonics
6 ай бұрын
Who are you and what have you done with John Michael Godier But seriously you guys have the exact same diction. timbre, and tone.
@jmacfilj5466
2 жыл бұрын
Ótimo!
@aLittlePal
8 ай бұрын
never had the thought of the need to study this, so this thing is called set theory in mathematics, quite a big word for such common sense, or maybe this is the difference between people, some people needed to study this for their lack of logic and reasoning.
@DennisDavisEdu
8 ай бұрын
I agree there's nothing puzzling about Set Theory, but it is used in so many disciplines that a uniform vocabulary and symbology is helpful. So this type of video might be considered a case of putting a name to a face that's already familiar through common sense.
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