-
Richard Dedekind: Master of Number Theory|Philosopher Biography
Richard Dedekind, a brilliant mathematician and philosopher, was born into a scholarly family in Braunschweig. ……
#RichardDedekind #biography #philosophy #VIS #VISPHILOSOPHER
published: 11 Sep 2023
-
Dedekind Cuts: An Introduction
We define a Dedekind cut and give an example of a subset of the rationals which is a Dedekind cut. We will use these cuts to construct the real numbers.
#mikedabkowski, #mikethemathematician, #profdabkowski, #realanalysis
published: 21 Sep 2023
-
Difficulties with Dedekind cuts | Real numbers and limits Math Foundations 116 | N J Wildberger
Richard Dedekind around 1870 introduced a new way of thinking about what a real number `was'. By analyzing the case of sqrt(2), he concluded that we could associated to a real number a partition of the rational numbers into two subsets A and B, where all the elements of A were less than all the elements of B, and where A had no greatest element. Such partitions are now called Dedekind cuts, and purport to give a logical and substantial foundation for the theory of real numbers.
Does this actually work? Can we really create an arithmetic of real numbers this way? No and no. It does not really work. In this video we raise the difficult issues that believers like to avoid.
Video Content:
00:00 Intro to Dedekind's approach to "real numbers"
5:08 "Cuts" of the rationals
7:13 Principles of Ma...
published: 01 Dec 2014
-
Richard Dedekind
-- Created using Powtoon -- Free sign up at http://www.powtoon.com/youtube/ -- Create animated videos and animated presentations for free. PowToon is a free tool that allows you to develop cool animated clips and animated presentations for your website, office meeting, sales pitch, nonprofit fundraiser, product launch, video resume, or anything else you could use an animated explainer video. PowToon's animation templates help you create animated presentations and animated explainer videos from scratch. Anyone can produce awesome animations quickly with PowToon, without the cost or hassle other professional animation services require.
published: 07 May 2021
-
Richard Dedekind: The Mathematical Genius
In this video, join us on a fascinating journey delving into the life and extraordinary contributions of Richard Dedekind, the brilliant mathematician who revolutionized the concept of irrational numbers and pioneered the idea of an ideal in Ring Theory. Explore the profound impact of Dedekind's work on modern mathematics and witness his lasting legacy in the field. Don't miss out on this insightful exploration into the mind of a true mathematical genius!
Remember to give this video a thumbs up if you found it informative and share it with your friends who have a passion for mathematics and history. Let's spread the knowledge and appreciation for the remarkable achievements of Richard Dedekind together!
OUTLINE:
00:00:00 The Early Life of Richard Dedekind
00:02:00 Dedekind's University...
published: 02 Mar 2024
-
Mathematics Breakthrough: Discovery of Ninth Dedekind Number
Mathematicians have solved a long-standing math problem - the discovery of the ninth Dedekind number. Mathematicians made history with 42-bit numbers, solving this mathematical puzzle that has plagued the mathematical community for years.
published: 01 Jul 2023
-
Biografia - Richard Dedekind
Apresentação sobre a vida pessoal e acadêmica de um grande matemático Alemão chamado Richard Dedekind. Feito de forma divertida, com o intuito de divertir e memorizar o assunto. Desenvolvido com uma técnica conhecida como "Draw My Life"
published: 30 Mar 2016
-
KHÁM PHÁ TỰ NHIÊN - 11. Số thực (4K)
Bài toán tìm độ dài đường chéo của một hình vuông đơn vị cho ta thấy rằng tập hợp số hữu tỉ là không đủ và do đó việc mở rộng sang một tập hợp số lớn hơn là điều cần thiết. Sử dụng quy trình của Dedekind, ta mở rộng sang tập số mới, được gọi là tập số thực. Dĩ nhiên, ta cũng không quên hỏi xem, liệu các số thực, tới lượt mình, có đóng vai trò gì trong tự nhiên hay không?
Tài liệu tham khảo: https://anphia.co/i31eCGY
___________________
ỦNG HỘ ANPHIA ❤️ https://donate.anphia.com
Youtube: https://anphia.co/youtube
Facebook: https://anphia.co/facebook
Instagram: https://anphia.co/instagram
Tiktok: https://anphia.co/tiktok
___________________
#anphia #khamphatunhien #kptn
published: 10 Aug 2024
-
Richard Dedekind 👩🏫📜 Everything Philosophers 🧠👨🏿🏫
Help us educate with a LIKE, SUBSCRIBE,and DONATION. Thank you!
https://www.patreon.com/SeeHearSayLearn , http://www.youtube.com/c/SeeHearSayLearn?sub_confirmation=1 👩🏫📜 Everything Philosophers 🧠👨🏿🏫
YOUTUBE SUBSCRIBE http://www.youtube.com/c/SeeHearSayLearn?sub_confirmation=1
In this video series we're covering everything about philosphers and their contributions.
Here's a couple great resources and products you might find useful.
Audible Audiobooks on Philosophy
https://amzn.to/3jOXGu0
Books on Philosphy
https://amzn.to/2X6LpXT
Philosophy Books for Kids
https://amzn.to/3jW01n1
Explore the world with this Digital Microscope
https://amzn.to/2ElwNgK
Explore the sky with this Telescope
https://amzn.to/2P14AxW
Julius Wilhelm Richard Dedekind (6 October 1831 – 12 February 1916) was a German...
published: 03 Aug 2020
4:49
Richard Dedekind: Master of Number Theory|Philosopher Biography
Richard Dedekind, a brilliant mathematician and philosopher, was born into a scholarly family in Braunschweig. ……
#RichardDedekind #biography #philosophy #VIS ...
Richard Dedekind, a brilliant mathematician and philosopher, was born into a scholarly family in Braunschweig. ……
#RichardDedekind #biography #philosophy #VIS #VISPHILOSOPHER
https://wn.com/Richard_Dedekind_Master_Of_Number_Theory|Philosopher_Biography
Richard Dedekind, a brilliant mathematician and philosopher, was born into a scholarly family in Braunschweig. ……
#RichardDedekind #biography #philosophy #VIS #VISPHILOSOPHER
- published: 11 Sep 2023
- views: 319
5:37
Dedekind Cuts: An Introduction
We define a Dedekind cut and give an example of a subset of the rationals which is a Dedekind cut. We will use these cuts to construct the real numbers.
#mike...
We define a Dedekind cut and give an example of a subset of the rationals which is a Dedekind cut. We will use these cuts to construct the real numbers.
#mikedabkowski, #mikethemathematician, #profdabkowski, #realanalysis
https://wn.com/Dedekind_Cuts_An_Introduction
We define a Dedekind cut and give an example of a subset of the rationals which is a Dedekind cut. We will use these cuts to construct the real numbers.
#mikedabkowski, #mikethemathematician, #profdabkowski, #realanalysis
- published: 21 Sep 2023
- views: 5398
40:20
Difficulties with Dedekind cuts | Real numbers and limits Math Foundations 116 | N J Wildberger
Richard Dedekind around 1870 introduced a new way of thinking about what a real number `was'. By analyzing the case of sqrt(2), he concluded that we could assoc...
Richard Dedekind around 1870 introduced a new way of thinking about what a real number `was'. By analyzing the case of sqrt(2), he concluded that we could associated to a real number a partition of the rational numbers into two subsets A and B, where all the elements of A were less than all the elements of B, and where A had no greatest element. Such partitions are now called Dedekind cuts, and purport to give a logical and substantial foundation for the theory of real numbers.
Does this actually work? Can we really create an arithmetic of real numbers this way? No and no. It does not really work. In this video we raise the difficult issues that believers like to avoid.
Video Content:
00:00 Intro to Dedekind's approach to "real numbers"
5:08 "Cuts" of the rationals
7:13 Principles of Mathematical Analysis
12:38 Subsets of Q
24:02 Prior theory of 'infinite sets'
32:09 Arithmetic with 'Dedekind cuts'
35:05 Unwieldy, infinite sets
************************
Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary.
My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/Norman_Wildberger
My blog is at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things.
Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at https://www.openlearning.com/courses/algebraic-calculus-one/ Please join us for an exciting new approach to one of mathematics' most important subjects!
If you would like to support these new initiatives for mathematics education and research, please consider becoming a Patron of this Channel at https://www.patreon.com/njwildberger Your support would be much appreciated.
Here are the Insights into Mathematics Playlists:
https://www.youtube.com/playlist?list=PL55C7C83781CF4316
https://www.youtube.com/playlist?list=PL3C58498718451C47
https://www.youtube.com/playlist?list=PL5A714C94D40392AB
https://www.youtube.com/playlist?list=PLIljB45xT85BhzJ-oWNug1YtUjfWp1qAp
https://www.youtube.com/playlist?list=PLIljB45xT85Bfc-S4WHvTIM7E-ir3nAOf
https://www.youtube.com/playlist?list=PLIljB45xT85D94vHAB8joyFTH4dmVJ_Fw
https://www.youtube.com/playlist?list=PL8403C2F0C89B1333
https://www.youtube.com/playlist?list=PLIljB45xT85CcGpZpO542YLPeDIf1jqXK
https://www.youtube.com/playlist?list=PLIljB45xT85Aqe2b4FBWUGJdYROT6-o4e
https://www.youtube.com/playlist?list=PLIljB45xT85DB7CzoFWvA920NES3g8tJH
https://www.youtube.com/playlist?list=PLIljB45xT85A-qCypcmZqRvaS1pGXpTua
https://www.youtube.com/playlist?list=PLIljB45xT85DH__ZzGQWQrVRxlbKh-Nsa
https://www.youtube.com/playlist?list=PLIljB45xT85CdeBmQZ2QiCEnPQn5KQ6ov
https://www.youtube.com/playlist?list=PLIljB45xT85AMigTyprOuf__daeklnLse
https://www.youtube.com/playlist?list=PLIljB45xT85CnIGIWb7tH1F_S2PyOC8rb
https://www.youtube.com/playlist?list=PLIljB45xT85CN9oJ4gYkuSQQhAtpIucuI
https://www.youtube.com/playlist?list=PLIljB45xT85DWUiFYYGqJVtfnkUFWkKtP
https://www.youtube.com/playlist?list=PL6763F57A61FE6FE8
https://www.youtube.com/playlist?list=PLBF39AFBBC3FB30AF
https://www.youtube.com/playlist?list=PLIljB45xT85DSrlV6NX8RMBksZhdTHtwW
https://www.youtube.com/playlist?list=PLIljB45xT85Bmcc9ksBOAKgIZAl0BwPg7
https://wn.com/Difficulties_With_Dedekind_Cuts_|_Real_Numbers_And_Limits_Math_Foundations_116_|_N_J_Wildberger
Richard Dedekind around 1870 introduced a new way of thinking about what a real number `was'. By analyzing the case of sqrt(2), he concluded that we could associated to a real number a partition of the rational numbers into two subsets A and B, where all the elements of A were less than all the elements of B, and where A had no greatest element. Such partitions are now called Dedekind cuts, and purport to give a logical and substantial foundation for the theory of real numbers.
Does this actually work? Can we really create an arithmetic of real numbers this way? No and no. It does not really work. In this video we raise the difficult issues that believers like to avoid.
Video Content:
00:00 Intro to Dedekind's approach to "real numbers"
5:08 "Cuts" of the rationals
7:13 Principles of Mathematical Analysis
12:38 Subsets of Q
24:02 Prior theory of 'infinite sets'
32:09 Arithmetic with 'Dedekind cuts'
35:05 Unwieldy, infinite sets
************************
Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary.
My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/Norman_Wildberger
My blog is at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things.
Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at https://www.openlearning.com/courses/algebraic-calculus-one/ Please join us for an exciting new approach to one of mathematics' most important subjects!
If you would like to support these new initiatives for mathematics education and research, please consider becoming a Patron of this Channel at https://www.patreon.com/njwildberger Your support would be much appreciated.
Here are the Insights into Mathematics Playlists:
https://www.youtube.com/playlist?list=PL55C7C83781CF4316
https://www.youtube.com/playlist?list=PL3C58498718451C47
https://www.youtube.com/playlist?list=PL5A714C94D40392AB
https://www.youtube.com/playlist?list=PLIljB45xT85BhzJ-oWNug1YtUjfWp1qAp
https://www.youtube.com/playlist?list=PLIljB45xT85Bfc-S4WHvTIM7E-ir3nAOf
https://www.youtube.com/playlist?list=PLIljB45xT85D94vHAB8joyFTH4dmVJ_Fw
https://www.youtube.com/playlist?list=PL8403C2F0C89B1333
https://www.youtube.com/playlist?list=PLIljB45xT85CcGpZpO542YLPeDIf1jqXK
https://www.youtube.com/playlist?list=PLIljB45xT85Aqe2b4FBWUGJdYROT6-o4e
https://www.youtube.com/playlist?list=PLIljB45xT85DB7CzoFWvA920NES3g8tJH
https://www.youtube.com/playlist?list=PLIljB45xT85A-qCypcmZqRvaS1pGXpTua
https://www.youtube.com/playlist?list=PLIljB45xT85DH__ZzGQWQrVRxlbKh-Nsa
https://www.youtube.com/playlist?list=PLIljB45xT85CdeBmQZ2QiCEnPQn5KQ6ov
https://www.youtube.com/playlist?list=PLIljB45xT85AMigTyprOuf__daeklnLse
https://www.youtube.com/playlist?list=PLIljB45xT85CnIGIWb7tH1F_S2PyOC8rb
https://www.youtube.com/playlist?list=PLIljB45xT85CN9oJ4gYkuSQQhAtpIucuI
https://www.youtube.com/playlist?list=PLIljB45xT85DWUiFYYGqJVtfnkUFWkKtP
https://www.youtube.com/playlist?list=PL6763F57A61FE6FE8
https://www.youtube.com/playlist?list=PLBF39AFBBC3FB30AF
https://www.youtube.com/playlist?list=PLIljB45xT85DSrlV6NX8RMBksZhdTHtwW
https://www.youtube.com/playlist?list=PLIljB45xT85Bmcc9ksBOAKgIZAl0BwPg7
- published: 01 Dec 2014
- views: 43116
1:24
Richard Dedekind
-- Created using Powtoon -- Free sign up at http://www.powtoon.com/youtube/ -- Create animated videos and animated presentations for free. PowToon is a free to...
-- Created using Powtoon -- Free sign up at http://www.powtoon.com/youtube/ -- Create animated videos and animated presentations for free. PowToon is a free tool that allows you to develop cool animated clips and animated presentations for your website, office meeting, sales pitch, nonprofit fundraiser, product launch, video resume, or anything else you could use an animated explainer video. PowToon's animation templates help you create animated presentations and animated explainer videos from scratch. Anyone can produce awesome animations quickly with PowToon, without the cost or hassle other professional animation services require.
https://wn.com/Richard_Dedekind
-- Created using Powtoon -- Free sign up at http://www.powtoon.com/youtube/ -- Create animated videos and animated presentations for free. PowToon is a free tool that allows you to develop cool animated clips and animated presentations for your website, office meeting, sales pitch, nonprofit fundraiser, product launch, video resume, or anything else you could use an animated explainer video. PowToon's animation templates help you create animated presentations and animated explainer videos from scratch. Anyone can produce awesome animations quickly with PowToon, without the cost or hassle other professional animation services require.
- published: 07 May 2021
- views: 112
10:34
Richard Dedekind: The Mathematical Genius
In this video, join us on a fascinating journey delving into the life and extraordinary contributions of Richard Dedekind, the brilliant mathematician who revol...
In this video, join us on a fascinating journey delving into the life and extraordinary contributions of Richard Dedekind, the brilliant mathematician who revolutionized the concept of irrational numbers and pioneered the idea of an ideal in Ring Theory. Explore the profound impact of Dedekind's work on modern mathematics and witness his lasting legacy in the field. Don't miss out on this insightful exploration into the mind of a true mathematical genius!
Remember to give this video a thumbs up if you found it informative and share it with your friends who have a passion for mathematics and history. Let's spread the knowledge and appreciation for the remarkable achievements of Richard Dedekind together!
OUTLINE:
00:00:00 The Early Life of Richard Dedekind
00:02:00 Dedekind's University Years
00:04:06 Dedekind and Gauss
00:06:10 Dedekind's Mathematical Contributions
00:08:11 Dedekind's Legacy
https://wn.com/Richard_Dedekind_The_Mathematical_Genius
In this video, join us on a fascinating journey delving into the life and extraordinary contributions of Richard Dedekind, the brilliant mathematician who revolutionized the concept of irrational numbers and pioneered the idea of an ideal in Ring Theory. Explore the profound impact of Dedekind's work on modern mathematics and witness his lasting legacy in the field. Don't miss out on this insightful exploration into the mind of a true mathematical genius!
Remember to give this video a thumbs up if you found it informative and share it with your friends who have a passion for mathematics and history. Let's spread the knowledge and appreciation for the remarkable achievements of Richard Dedekind together!
OUTLINE:
00:00:00 The Early Life of Richard Dedekind
00:02:00 Dedekind's University Years
00:04:06 Dedekind and Gauss
00:06:10 Dedekind's Mathematical Contributions
00:08:11 Dedekind's Legacy
- published: 02 Mar 2024
- views: 44
3:47
Mathematics Breakthrough: Discovery of Ninth Dedekind Number
Mathematicians have solved a long-standing math problem - the discovery of the ninth Dedekind number. Mathematicians made history with 42-bit numbers, solving t...
Mathematicians have solved a long-standing math problem - the discovery of the ninth Dedekind number. Mathematicians made history with 42-bit numbers, solving this mathematical puzzle that has plagued the mathematical community for years.
https://wn.com/Mathematics_Breakthrough_Discovery_Of_Ninth_Dedekind_Number
Mathematicians have solved a long-standing math problem - the discovery of the ninth Dedekind number. Mathematicians made history with 42-bit numbers, solving this mathematical puzzle that has plagued the mathematical community for years.
- published: 01 Jul 2023
- views: 5477
8:24
Biografia - Richard Dedekind
Apresentação sobre a vida pessoal e acadêmica de um grande matemático Alemão chamado Richard Dedekind. Feito de forma divertida, com o intuito de divertir e mem...
Apresentação sobre a vida pessoal e acadêmica de um grande matemático Alemão chamado Richard Dedekind. Feito de forma divertida, com o intuito de divertir e memorizar o assunto. Desenvolvido com uma técnica conhecida como "Draw My Life"
https://wn.com/Biografia_Richard_Dedekind
Apresentação sobre a vida pessoal e acadêmica de um grande matemático Alemão chamado Richard Dedekind. Feito de forma divertida, com o intuito de divertir e memorizar o assunto. Desenvolvido com uma técnica conhecida como "Draw My Life"
- published: 30 Mar 2016
- views: 1898
14:43
KHÁM PHÁ TỰ NHIÊN - 11. Số thực (4K)
Bài toán tìm độ dài đường chéo của một hình vuông đơn vị cho ta thấy rằng tập hợp số hữu tỉ là không đủ và do đó việc mở rộng sang một tập hợp số lớn hơn là điề...
Bài toán tìm độ dài đường chéo của một hình vuông đơn vị cho ta thấy rằng tập hợp số hữu tỉ là không đủ và do đó việc mở rộng sang một tập hợp số lớn hơn là điều cần thiết. Sử dụng quy trình của Dedekind, ta mở rộng sang tập số mới, được gọi là tập số thực. Dĩ nhiên, ta cũng không quên hỏi xem, liệu các số thực, tới lượt mình, có đóng vai trò gì trong tự nhiên hay không?
Tài liệu tham khảo: https://anphia.co/i31eCGY
___________________
ỦNG HỘ ANPHIA ❤️ https://donate.anphia.com
Youtube: https://anphia.co/youtube
Facebook: https://anphia.co/facebook
Instagram: https://anphia.co/instagram
Tiktok: https://anphia.co/tiktok
___________________
#anphia #khamphatunhien #kptn
https://wn.com/Khám_Phá_Tự_Nhiên_11._Số_Thực_(4K)
Bài toán tìm độ dài đường chéo của một hình vuông đơn vị cho ta thấy rằng tập hợp số hữu tỉ là không đủ và do đó việc mở rộng sang một tập hợp số lớn hơn là điều cần thiết. Sử dụng quy trình của Dedekind, ta mở rộng sang tập số mới, được gọi là tập số thực. Dĩ nhiên, ta cũng không quên hỏi xem, liệu các số thực, tới lượt mình, có đóng vai trò gì trong tự nhiên hay không?
Tài liệu tham khảo: https://anphia.co/i31eCGY
___________________
ỦNG HỘ ANPHIA ❤️ https://donate.anphia.com
Youtube: https://anphia.co/youtube
Facebook: https://anphia.co/facebook
Instagram: https://anphia.co/instagram
Tiktok: https://anphia.co/tiktok
___________________
#anphia #khamphatunhien #kptn
- published: 10 Aug 2024
- views: 273
6:09
Richard Dedekind 👩🏫📜 Everything Philosophers 🧠👨🏿🏫
Help us educate with a LIKE, SUBSCRIBE,and DONATION. Thank you!
https://www.patreon.com/SeeHearSayLearn , http://www.youtube.com/c/SeeHearSayLearn?sub_confirmat...
Help us educate with a LIKE, SUBSCRIBE,and DONATION. Thank you!
https://www.patreon.com/SeeHearSayLearn , http://www.youtube.com/c/SeeHearSayLearn?sub_confirmation=1 👩🏫📜 Everything Philosophers 🧠👨🏿🏫
YOUTUBE SUBSCRIBE http://www.youtube.com/c/SeeHearSayLearn?sub_confirmation=1
In this video series we're covering everything about philosphers and their contributions.
Here's a couple great resources and products you might find useful.
Audible Audiobooks on Philosophy
https://amzn.to/3jOXGu0
Books on Philosphy
https://amzn.to/2X6LpXT
Philosophy Books for Kids
https://amzn.to/3jW01n1
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Julius Wilhelm Richard Dedekind (6 October 1831 – 12 February 1916) was a German mathematician who made important contributions to abstract algebra (particularly ring theory), axiomatic foundation for the natural numbers, algebraic number theory and the definition of the real numbers.
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The links above takes you directly to Amazon.com and in return they help fund what we do here and to further education for all those excited enough to want to learn. We thank you for clicking through our links.
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YOUTUBE SUBSCRIBE http://www.youtube.com/c/SeeHearSayLearn?sub_confirmation=1
In this video series we're covering everything about philosphers and their contributions.
Here's a couple great resources and products you might find useful.
Audible Audiobooks on Philosophy
https://amzn.to/3jOXGu0
Books on Philosphy
https://amzn.to/2X6LpXT
Philosophy Books for Kids
https://amzn.to/3jW01n1
Explore the world with this Digital Microscope
https://amzn.to/2ElwNgK
Explore the sky with this Telescope
https://amzn.to/2P14AxW
Julius Wilhelm Richard Dedekind (6 October 1831 – 12 February 1916) was a German mathematician who made important contributions to abstract algebra (particularly ring theory), axiomatic foundation for the natural numbers, algebraic number theory and the definition of the real numbers.
Link to Amazon.com
http://amzn.to/2hFyI1h
The links above takes you directly to Amazon.com and in return they help fund what we do here and to further education for all those excited enough to want to learn. We thank you for clicking through our links.
THANK YOU for WATCHING, SUBSCRIBING, LIKING, COMMENTING, SHARING and DONATING!!!
It means a lot to my family!
Please visit www.seehearsaylearn.com
FACEBOOK FOLLOW
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- published: 03 Aug 2020
- views: 1177