-
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 :-)
For set theory and more I recommend:
The Foundations of Mathematics (Stewart & Tall) - https://amzn.to/3y9MrYX
This video was made using:
Animation - Apple Keynote
Editing - DaVinci Resolve
Mic - Blue Yeti X - https://amzn.to/3nJbmdO
Supporting the Channel.
If you would like to support me...
published: 03 Aug 2021
-
Intersection of Sets, Union of Sets and Venn Diagrams
This math video tutorial provides a basic introduction into the intersection of sets and union of sets as it relates to venn diagrams.
Translating Words to Algebraic Expressions: https://www.youtube.com/watch?v=QEnFIgN8UBw
Words to Equations - More Problems:
https://www.youtube.com/watch?v=VjPX-XlN7Ok
Consecutive Integers Word Problems:
https://www.youtube.com/watch?v=hPnoxAf60c0
Age Word Problems - Past, Present, Future:
https://www.youtube.com/watch?v=7x7Hl9ztYbk
Upstream and Downstream - Problems:
https://www.youtube.com/watch?v=nW9WDlcicxE
_______________________________________
Distance, Rate, & Time - Word Problems:
https://www.youtube.com/watch?v=r4ff6KjPKHE
Time and Work - Word Problems:
...
published: 07 Feb 2018
-
Russell's Paradox - a simple explanation of a profound problem
I am writing a book! If you want to know when it is ready (and maybe win a free copy), submit your email on my website: https://www.jeffreykaplan.org/
I won’t spam you or share your email address with anyone.
This is a video lecture explaining Russell's Paradox. At the very heart of logic and mathematics, there is a paradox that has yet to be resolved. It was discovered by the mathematician and philosopher, Bertrand Russell, in 1901. In this talk, Professor Jeffrey Kaplan teaches you the basics of set theory (a foundational branch of mathematics dating back to the 1870s) in 20 minutes. Then he explains Russell’s Paradox, which is quite a thrilling thing if you are learning it for the first time. Finally, Kaplan argues that the paradox goes even deeper than Russell himself realized.
Also...
published: 08 Sep 2022
-
INTRODUCTION to SET THEORY - DISCRETE MATHEMATICS
We introduce the basics of set theory and do some practice problems.
This video is an updated version of the original video released over two years ago. Hopefully the higher pen quality and refined explanations are beneficial for your learning. If you'd like to see more videos redone in the series, please leave a comment down below.
#DiscreteMath #Mathematics #settheory
Looking for paid tutoring or online courses with practice exercises, text lectures, solutions, and exam practice? http://TrevTutor.com has you covered!
Support me on Patreon: http://bit.ly/2EUdAl3
Visit my website: http://bit.ly/1zBPlvm
Subscribe on YouTube: http://bit.ly/1vWiRxW
*--Playlists--*
Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz
Discrete Mathematics 2: htt...
published: 11 Jul 2017
-
What are Sets? | Set Theory | Don't Memorise
If you love our content, please feel free to try out our super-affordable premium content. Get access to ALL videos on the website(Master Learner Pack):
One Month Access(Rs.999/USD 12): https://tinyurl.com/DM-OneMonth
Six Months Access(Rs.1,999/USD 24): https://tinyurl.com/DM-SixMonths
One Year Access(Rs.2,999/USD 35): https://tinyurl.com/DM-OneYear
View this video to understand what are sets & basics of Sets!
✅Download the Infinity Learn APP Now➡️ https://vsbpz.app.link/dmil
✅To learn more about Sets, enroll in our full course now: https://tinyurl.com/DM-OneMonth
In this video, we will learn:
0:00 Introduction
0:19 what are sets?
1:00 examples of sets
To watch more videos related to Sets, click here: https://tinyurl.com/DM-OneMonth
Don’t Memorise brings learning to life through its...
published: 17 Dec 2014
-
Math's Fundamental Flaw
Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription.
Special thanks to Prof. Asaf Karagila for consultation on set theory and specific rewrites, to Prof. Alex Kontorovich for reviews of earlier drafts, Prof. Toby ‘Qubit’ Cubitt for the help with the spectral gap, to Henry Reich for the helpful feedback and comments on the video.
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References:
Dunham, W. (2013, July). A Note on the Origin of the Twin Prime Conjecture. In Notices of the International Congress of Chinese Mathematicians (Vol. 1, No. 1, pp. 63-65). International Pres...
published: 22 May 2021
-
SET THEORY _ Two Variables (Lesson-1)
website:
https://www.feelfreetolearn.com/
published: 10 Dec 2018
-
Set Theory - All you need to know (Old Version)
In this video we cover Set Theory as a full topic including All you need to know.
Watch this video to understand the concepts behind set theory that includes notations, laws, sketching, interval notation and more.
published: 22 Apr 2023
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Defining Numbers & Functions Using SET THEORY // Foundations of Mathematics
We are all familiar with numbers and functions....but are these the most basic, most foundational concept in mathematics? Mathematicians use set theory as the basic building blocks of so much of math. In this video we are going to see how we can think of numbers and functions in terms of sets.
0:00 The Definition Problem
1:44 Set Theory
3:50 Numbers in Set Theory
6:48 Functions in Set Theory
COURSE PLAYLISTS:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►DIFFERENTIAL EQUATIONS (Calc IV): https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnL...
published: 31 Aug 2020
-
Sets: Union, Intersection, Complement
This video shows how to find the union, intersection, and complement of a set.
published: 29 Mar 2018
29:24
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 I...
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 :-)
For set theory and more I recommend:
The Foundations of Mathematics (Stewart & Tall) - https://amzn.to/3y9MrYX
This video was made using:
Animation - Apple Keynote
Editing - DaVinci Resolve
Mic - Blue Yeti X - https://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
https://www.buymeacoffee.com/DrWillWood
Thank you so much, I hope you find the content useful.
https://wn.com/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 :-)
For set theory and more I recommend:
The Foundations of Mathematics (Stewart & Tall) - https://amzn.to/3y9MrYX
This video was made using:
Animation - Apple Keynote
Editing - DaVinci Resolve
Mic - Blue Yeti X - https://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
https://www.buymeacoffee.com/DrWillWood
Thank you so much, I hope you find the content useful.
- published: 03 Aug 2021
- views: 935422
11:49
Intersection of Sets, Union of Sets and Venn Diagrams
This math video tutorial provides a basic introduction into the intersection of sets and union of sets as it relates to venn diagrams.
Translating Words to A...
This math video tutorial provides a basic introduction into the intersection of sets and union of sets as it relates to venn diagrams.
Translating Words to Algebraic Expressions: https://www.youtube.com/watch?v=QEnFIgN8UBw
Words to Equations - More Problems:
https://www.youtube.com/watch?v=VjPX-XlN7Ok
Consecutive Integers Word Problems:
https://www.youtube.com/watch?v=hPnoxAf60c0
Age Word Problems - Past, Present, Future:
https://www.youtube.com/watch?v=7x7Hl9ztYbk
Upstream and Downstream - Problems:
https://www.youtube.com/watch?v=nW9WDlcicxE
_______________________________________
Distance, Rate, & Time - Word Problems:
https://www.youtube.com/watch?v=r4ff6KjPKHE
Time and Work - Word Problems:
https://www.youtube.com/watch?v=zUE59CNlFsI
Acid Mixture Word Problems:
https://www.youtube.com/watch?v=e2FAAMlAJ3c
Percent Increase & Decrease Problems:
https://www.youtube.com/watch?v=T6-0MwmCpE8
Percentage Word Problems:
https://www.youtube.com/watch?v=kjpwBu6DmkM
________________________________________
Ratios and Proportions - Word Problems:
https://www.youtube.com/watch?v=JOZSFwuyqok
Ratios and Proportions - SAT Math:
https://www.youtube.com/watch?v=Y4fgwWEGQlg
Arithmetic Sequences - Word Problems:
https://www.youtube.com/watch?v=XZJdyPkCxuE
Venn Diagram - Word Problems:
https://www.youtube.com/watch?v=32iNIZJ2dI4
Probability With Marbles - Word Problems:
https://www.youtube.com/watch?v=UORztmWGY6Q
_______________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
https://wn.com/Intersection_Of_Sets,_Union_Of_Sets_And_Venn_Diagrams
This math video tutorial provides a basic introduction into the intersection of sets and union of sets as it relates to venn diagrams.
Translating Words to Algebraic Expressions: https://www.youtube.com/watch?v=QEnFIgN8UBw
Words to Equations - More Problems:
https://www.youtube.com/watch?v=VjPX-XlN7Ok
Consecutive Integers Word Problems:
https://www.youtube.com/watch?v=hPnoxAf60c0
Age Word Problems - Past, Present, Future:
https://www.youtube.com/watch?v=7x7Hl9ztYbk
Upstream and Downstream - Problems:
https://www.youtube.com/watch?v=nW9WDlcicxE
_______________________________________
Distance, Rate, & Time - Word Problems:
https://www.youtube.com/watch?v=r4ff6KjPKHE
Time and Work - Word Problems:
https://www.youtube.com/watch?v=zUE59CNlFsI
Acid Mixture Word Problems:
https://www.youtube.com/watch?v=e2FAAMlAJ3c
Percent Increase & Decrease Problems:
https://www.youtube.com/watch?v=T6-0MwmCpE8
Percentage Word Problems:
https://www.youtube.com/watch?v=kjpwBu6DmkM
________________________________________
Ratios and Proportions - Word Problems:
https://www.youtube.com/watch?v=JOZSFwuyqok
Ratios and Proportions - SAT Math:
https://www.youtube.com/watch?v=Y4fgwWEGQlg
Arithmetic Sequences - Word Problems:
https://www.youtube.com/watch?v=XZJdyPkCxuE
Venn Diagram - Word Problems:
https://www.youtube.com/watch?v=32iNIZJ2dI4
Probability With Marbles - Word Problems:
https://www.youtube.com/watch?v=UORztmWGY6Q
_______________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
- published: 07 Feb 2018
- views: 2250762
28:28
Russell's Paradox - a simple explanation of a profound problem
I am writing a book! If you want to know when it is ready (and maybe win a free copy), submit your email on my website: https://www.jeffreykaplan.org/
I won’t ...
I am writing a book! If you want to know when it is ready (and maybe win a free copy), submit your email on my website: https://www.jeffreykaplan.org/
I won’t spam you or share your email address with anyone.
This is a video lecture explaining Russell's Paradox. At the very heart of logic and mathematics, there is a paradox that has yet to be resolved. It was discovered by the mathematician and philosopher, Bertrand Russell, in 1901. In this talk, Professor Jeffrey Kaplan teaches you the basics of set theory (a foundational branch of mathematics dating back to the 1870s) in 20 minutes. Then he explains Russell’s Paradox, which is quite a thrilling thing if you are learning it for the first time. Finally, Kaplan argues that the paradox goes even deeper than Russell himself realized.
Also, I should mention Georg Cantor, Gotlob Frege, Logicism, and Zermelo–Fraenkel set theory in this description for keyword search reasons.
https://wn.com/Russell's_Paradox_A_Simple_Explanation_Of_A_Profound_Problem
I am writing a book! If you want to know when it is ready (and maybe win a free copy), submit your email on my website: https://www.jeffreykaplan.org/
I won’t spam you or share your email address with anyone.
This is a video lecture explaining Russell's Paradox. At the very heart of logic and mathematics, there is a paradox that has yet to be resolved. It was discovered by the mathematician and philosopher, Bertrand Russell, in 1901. In this talk, Professor Jeffrey Kaplan teaches you the basics of set theory (a foundational branch of mathematics dating back to the 1870s) in 20 minutes. Then he explains Russell’s Paradox, which is quite a thrilling thing if you are learning it for the first time. Finally, Kaplan argues that the paradox goes even deeper than Russell himself realized.
Also, I should mention Georg Cantor, Gotlob Frege, Logicism, and Zermelo–Fraenkel set theory in this description for keyword search reasons.
- published: 08 Sep 2022
- views: 8105746
16:38
INTRODUCTION to SET THEORY - DISCRETE MATHEMATICS
We introduce the basics of set theory and do some practice problems.
This video is an updated version of the original video released over two years ago. Hopefu...
We introduce the basics of set theory and do some practice problems.
This video is an updated version of the original video released over two years ago. Hopefully the higher pen quality and refined explanations are beneficial for your learning. If you'd like to see more videos redone in the series, please leave a comment down below.
#DiscreteMath #Mathematics #settheory
Looking for paid tutoring or online courses with practice exercises, text lectures, solutions, and exam practice? http://TrevTutor.com has you covered!
Support me on Patreon: http://bit.ly/2EUdAl3
Visit my website: http://bit.ly/1zBPlvm
Subscribe on YouTube: http://bit.ly/1vWiRxW
*--Playlists--*
Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz
Discrete Mathematics 2: https://www.youtube.com/playlist?list=PLDDGPdw7e6Aj0amDsYInT_8p6xTSTGEi2
*--Recommended Textbooks--*
Discrete and Combinatorial Mathematics (Grimaldi): https://amzn.to/2T0iC53
Discrete Mathematics (Johnsonbaugh): https://amzn.to/2Hh7H41
Discrete Mathematics and Its Applications (Rosen): https://amzn.to/3lUgrMI
Book of Proof (Hammack): https://amzn.to/35eEbVg
Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.
https://wn.com/Introduction_To_Set_Theory_Discrete_Mathematics
We introduce the basics of set theory and do some practice problems.
This video is an updated version of the original video released over two years ago. Hopefully the higher pen quality and refined explanations are beneficial for your learning. If you'd like to see more videos redone in the series, please leave a comment down below.
#DiscreteMath #Mathematics #settheory
Looking for paid tutoring or online courses with practice exercises, text lectures, solutions, and exam practice? http://TrevTutor.com has you covered!
Support me on Patreon: http://bit.ly/2EUdAl3
Visit my website: http://bit.ly/1zBPlvm
Subscribe on YouTube: http://bit.ly/1vWiRxW
*--Playlists--*
Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz
Discrete Mathematics 2: https://www.youtube.com/playlist?list=PLDDGPdw7e6Aj0amDsYInT_8p6xTSTGEi2
*--Recommended Textbooks--*
Discrete and Combinatorial Mathematics (Grimaldi): https://amzn.to/2T0iC53
Discrete Mathematics (Johnsonbaugh): https://amzn.to/2Hh7H41
Discrete Mathematics and Its Applications (Rosen): https://amzn.to/3lUgrMI
Book of Proof (Hammack): https://amzn.to/35eEbVg
Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.
- published: 11 Jul 2017
- views: 2407952
2:18
What are Sets? | Set Theory | Don't Memorise
If you love our content, please feel free to try out our super-affordable premium content. Get access to ALL videos on the website(Master Learner Pack):
One Mon...
If you love our content, please feel free to try out our super-affordable premium content. Get access to ALL videos on the website(Master Learner Pack):
One Month Access(Rs.999/USD 12): https://tinyurl.com/DM-OneMonth
Six Months Access(Rs.1,999/USD 24): https://tinyurl.com/DM-SixMonths
One Year Access(Rs.2,999/USD 35): https://tinyurl.com/DM-OneYear
View this video to understand what are sets & basics of Sets!
✅Download the Infinity Learn APP Now➡️ https://vsbpz.app.link/dmil
✅To learn more about Sets, enroll in our full course now: https://tinyurl.com/DM-OneMonth
In this video, we will learn:
0:00 Introduction
0:19 what are sets?
1:00 examples of sets
To watch more videos related to Sets, click here: https://tinyurl.com/DM-OneMonth
Don’t Memorise brings learning to life through its captivating educational videos.
New videos every week. To stay updated, subscribe to our YouTube channel: http://bit.ly/DontMemoriseYouTube
Register on our website to gain access to all videos and quizzes:
https://tinyurl.com/DM-OneMonth
#Sets #SetTheory #DontMemorise #neet2024 #infinityLearnNEET #neetsyllabus #neet2025
https://wn.com/What_Are_Sets_|_Set_Theory_|_Don't_Memorise
If you love our content, please feel free to try out our super-affordable premium content. Get access to ALL videos on the website(Master Learner Pack):
One Month Access(Rs.999/USD 12): https://tinyurl.com/DM-OneMonth
Six Months Access(Rs.1,999/USD 24): https://tinyurl.com/DM-SixMonths
One Year Access(Rs.2,999/USD 35): https://tinyurl.com/DM-OneYear
View this video to understand what are sets & basics of Sets!
✅Download the Infinity Learn APP Now➡️ https://vsbpz.app.link/dmil
✅To learn more about Sets, enroll in our full course now: https://tinyurl.com/DM-OneMonth
In this video, we will learn:
0:00 Introduction
0:19 what are sets?
1:00 examples of sets
To watch more videos related to Sets, click here: https://tinyurl.com/DM-OneMonth
Don’t Memorise brings learning to life through its captivating educational videos.
New videos every week. To stay updated, subscribe to our YouTube channel: http://bit.ly/DontMemoriseYouTube
Register on our website to gain access to all videos and quizzes:
https://tinyurl.com/DM-OneMonth
#Sets #SetTheory #DontMemorise #neet2024 #infinityLearnNEET #neetsyllabus #neet2025
- published: 17 Dec 2014
- views: 712285
34:00
Math's Fundamental Flaw
Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is ...
Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription.
Special thanks to Prof. Asaf Karagila for consultation on set theory and specific rewrites, to Prof. Alex Kontorovich for reviews of earlier drafts, Prof. Toby ‘Qubit’ Cubitt for the help with the spectral gap, to Henry Reich for the helpful feedback and comments on the video.
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References:
Dunham, W. (2013, July). A Note on the Origin of the Twin Prime Conjecture. In Notices of the International Congress of Chinese Mathematicians (Vol. 1, No. 1, pp. 63-65). International Press of Boston. — https://ve42.co/Dunham2013
Conway, J. (1970). The game of life. Scientific American, 223(4), 4. — https://ve42.co/Conway1970
Churchill, A., Biderman, S., Herrick, A. (2019). Magic: The Gathering is Turing Complete. ArXiv. — https://ve42.co/Churchill2019
Gaifman, H. (2006). Naming and Diagonalization, from Cantor to Godel to Kleene. Logic Journal of the IGPL, 14(5), 709-728. — https://ve42.co/Gaifman2006
Lénárt, I. (2010). Gauss, Bolyai, Lobachevsky–in General Education?(Hyperbolic Geometry as Part of the Mathematics Curriculum). In Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (pp. 223-230). Tessellations Publishing. — https://ve42.co/Lnrt2010
Attribution of Poincare’s quote, The Mathematical Intelligencer, vol. 13, no. 1, Winter 1991. — https://ve42.co/Poincare
Irvine, A. D., & Deutsch, H. (1995). Russell’s paradox. — https://ve42.co/Irvine1995
Gödel, K. (1992). On formally undecidable propositions of Principia Mathematica and related systems. Courier Corporation. — https://ve42.co/Godel1931
Russell, B., & Whitehead, A. (1973). Principia Mathematica [PM], vol I, 1910, vol. II, 1912, vol III, 1913, vol. I, 1925, vol II & III, 1927, Paperback Edition to* 56. Cambridge UP. — https://ve42.co/Russel1910
Gödel, K. (1986). Kurt Gödel: Collected Works: Volume I: Publications 1929-1936 (Vol. 1). Oxford University Press, USA. — https://ve42.co/Godel1986
Cubitt, T. S., Perez-Garcia, D., & Wolf, M. M. (2015). Undecidability of the spectral gap. Nature, 528(7581), 207-211. — https://ve42.co/Cubitt2015
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Special thanks to Patreon supporters: Paul Peijzel, Crated Comments, Anna, Mac Malkawi, Michael Schneider, Oleksii Leonov, Jim Osmun, Tyson McDowell, Ludovic Robillard, Jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Marinus Kuivenhoven, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal
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Executive Producer: Derek Muller
Writers: Adam Becker, Jonny Hyman, Derek Muller
Animators: Fabio Albertelli, Jakub Misiek, Ivy Tello, Jonny Hyman
SFX & Music: Jonny Hyman
Camerapeople: Derek Muller, Raquel Nuno
Editors: Derek Muller
Producers: Petr Lebedev, Emily Zhang
Additional video supplied by Getty Images
Thumbnail by Geoff Barrett
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
https://wn.com/Math's_Fundamental_Flaw
Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription.
Special thanks to Prof. Asaf Karagila for consultation on set theory and specific rewrites, to Prof. Alex Kontorovich for reviews of earlier drafts, Prof. Toby ‘Qubit’ Cubitt for the help with the spectral gap, to Henry Reich for the helpful feedback and comments on the video.
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
References:
Dunham, W. (2013, July). A Note on the Origin of the Twin Prime Conjecture. In Notices of the International Congress of Chinese Mathematicians (Vol. 1, No. 1, pp. 63-65). International Press of Boston. — https://ve42.co/Dunham2013
Conway, J. (1970). The game of life. Scientific American, 223(4), 4. — https://ve42.co/Conway1970
Churchill, A., Biderman, S., Herrick, A. (2019). Magic: The Gathering is Turing Complete. ArXiv. — https://ve42.co/Churchill2019
Gaifman, H. (2006). Naming and Diagonalization, from Cantor to Godel to Kleene. Logic Journal of the IGPL, 14(5), 709-728. — https://ve42.co/Gaifman2006
Lénárt, I. (2010). Gauss, Bolyai, Lobachevsky–in General Education?(Hyperbolic Geometry as Part of the Mathematics Curriculum). In Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (pp. 223-230). Tessellations Publishing. — https://ve42.co/Lnrt2010
Attribution of Poincare’s quote, The Mathematical Intelligencer, vol. 13, no. 1, Winter 1991. — https://ve42.co/Poincare
Irvine, A. D., & Deutsch, H. (1995). Russell’s paradox. — https://ve42.co/Irvine1995
Gödel, K. (1992). On formally undecidable propositions of Principia Mathematica and related systems. Courier Corporation. — https://ve42.co/Godel1931
Russell, B., & Whitehead, A. (1973). Principia Mathematica [PM], vol I, 1910, vol. II, 1912, vol III, 1913, vol. I, 1925, vol II & III, 1927, Paperback Edition to* 56. Cambridge UP. — https://ve42.co/Russel1910
Gödel, K. (1986). Kurt Gödel: Collected Works: Volume I: Publications 1929-1936 (Vol. 1). Oxford University Press, USA. — https://ve42.co/Godel1986
Cubitt, T. S., Perez-Garcia, D., & Wolf, M. M. (2015). Undecidability of the spectral gap. Nature, 528(7581), 207-211. — https://ve42.co/Cubitt2015
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Executive Producer: Derek Muller
Writers: Adam Becker, Jonny Hyman, Derek Muller
Animators: Fabio Albertelli, Jakub Misiek, Ivy Tello, Jonny Hyman
SFX & Music: Jonny Hyman
Camerapeople: Derek Muller, Raquel Nuno
Editors: Derek Muller
Producers: Petr Lebedev, Emily Zhang
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- published: 22 May 2021
- views: 27915597
3:02:29
Set Theory - All you need to know (Old Version)
In this video we cover Set Theory as a full topic including All you need to know.
Watch this video to understand the concepts behind set theory that includes n...
In this video we cover Set Theory as a full topic including All you need to know.
Watch this video to understand the concepts behind set theory that includes notations, laws, sketching, interval notation and more.
https://wn.com/Set_Theory_All_You_Need_To_Know_(Old_Version)
In this video we cover Set Theory as a full topic including All you need to know.
Watch this video to understand the concepts behind set theory that includes notations, laws, sketching, interval notation and more.
- published: 22 Apr 2023
- views: 19297
13:11
Defining Numbers & Functions Using SET THEORY // Foundations of Mathematics
We are all familiar with numbers and functions....but are these the most basic, most foundational concept in mathematics? Mathematicians use set theory as the b...
We are all familiar with numbers and functions....but are these the most basic, most foundational concept in mathematics? Mathematicians use set theory as the basic building blocks of so much of math. In this video we are going to see how we can think of numbers and functions in terms of sets.
0:00 The Definition Problem
1:44 Set Theory
3:50 Numbers in Set Theory
6:48 Functions in Set Theory
COURSE PLAYLISTS:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►DIFFERENTIAL EQUATIONS (Calc IV): https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
OTHER PLAYLISTS:
► Learning Math Series
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Cool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
BECOME A MEMBER:
►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
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https://wn.com/Defining_Numbers_Functions_Using_Set_Theory_Foundations_Of_Mathematics
We are all familiar with numbers and functions....but are these the most basic, most foundational concept in mathematics? Mathematicians use set theory as the basic building blocks of so much of math. In this video we are going to see how we can think of numbers and functions in terms of sets.
0:00 The Definition Problem
1:44 Set Theory
3:50 Numbers in Set Theory
6:48 Functions in Set Theory
COURSE PLAYLISTS:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►DIFFERENTIAL EQUATIONS (Calc IV): https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
OTHER PLAYLISTS:
► Learning Math Series
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Cool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
BECOME A MEMBER:
►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
SOCIALS:
►Twitter (math based): http://twitter.com/treforbazett
►Instagram (photography based): http://instagram.com/treforphotography
- published: 31 Aug 2020
- views: 39219
14:43
Sets: Union, Intersection, Complement
This video shows how to find the union, intersection, and complement of a set.
This video shows how to find the union, intersection, and complement of a set.
https://wn.com/Sets_Union,_Intersection,_Complement
This video shows how to find the union, intersection, and complement of a set.
- published: 29 Mar 2018
- views: 1126222