-
Intro to the Philosophy of Mathematics (Ray Monk)
A good introduction to the philosophy of mathematics by Ray Monk. He considers the issue of the nature of mathematical truth - what mathematics is actually about - and discusses the views of Plato, Aristotle, Kant, Frege and Russell. What is mathematics about? Is mathematics something discovered or is it something invented or constructed by us? If numbers and mathematical objects are mere mental constructs, something invented by us, then why does mathematics work so well and seem to describe the world? On the other hand, if mathematical entities are "out there" in some sense waiting to be discovered, then what is their status and how do we get knowledge of them? After all, you can't see or touch numbers and other mathematical objects. And unlike ordinary empirical truths, mathematical trut...
published: 06 Jun 2021
-
philosophy of mathematics and mathematical philosophy???
peep the full episode here: https://youtu.be/KqYh1h2t8WU
published: 04 May 2022
-
Mathematics and Philosophy at Oxford University
Want to know more about studying at Oxford University? Watch this short film to hear tutors and students talk about this undergraduate degree. For more information on this course, please visit our website at https://www.ox.ac.uk/admissions/undergraduate/courses-listing/mathematics-and-philosophy
published: 05 Oct 2017
-
Introduction to Mathematical Philosophy (FULL Audiobook)
Check out this book
http://free-audio-books.info/the-new-book-of-this-channel/2789/
Introduction to Mathematical Philosophy - audiobook
Bertrand RUSSELL (1872 - 1970)
Bertrand Russell wrote 'Introduction to Mathematical Philosophy' while imprisoned for protesting Britain's involvement in World War I. Russell summarizes the significance of the momentous work of mathematicians in the late nineteenth-century. He further describes his own philosophy of mathematics, Logicism (the view that all mathematical truths are logical truths), and his earlier, influential work solving the paradoxes that plagued mathematical foundations, which crystallized after ten years of dogged effort into the co-authored (with Alfred North Whitehead), three-volume 'Principia Mathematica'. Russell emphasizes the impo...
published: 19 Aug 2015
-
Silvia Jonas | The Philosophy of Maths
What philosophical problems do numbers and mathematical objects bring up? Philosopher Silvia Jonas explores how mathematics shapes the ways we conceptualise reality. Watch the full interview https://www.youtube.com/watch?v=QKdRS1cqNPA
Subscribe to the Institute of Art and Ideas https://www.youtube.com/user/IAITV
Silvia Jonas is a philosopher at the Munich Center for Mathematical Philosophy (MCMP) working in metaphysics, philosophy of mathematics, and epistemology. She is author of Ineffability and its Metaphysics: The Unspeakable in Art, Religion, and Philosophy, and is currently working on a Marie Sklodowska-Curie Fellowship, investigating how mathematics shapes the way in which philosophers conceptualise reality.
#reality #philosophy #mathematics
DELVE DEEPER
For debates and talk...
published: 23 Nov 2019
-
Do numbers EXIST? - Numberphile
An expert on the philosophy of mathematics, Dr Jonathan Tallant, outlines some of the key arguments about whether or not numbers ACTUALLY EXIST?
More links & stuff in full description below ↓↓↓
Exploring platonism, nominalism and fictionalism.
Jonathan works in the University of Nottingham's Philosophy Department. Brady does more philosophy videos with Jonathan and the others at http://www.youtube.com/user/PhilosophyFile
Jonathan talks about the philosophy of time in this one: http://www.youtube.com/watch?v=zw6hS_gy9MY
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Videos by Brady Haran
Patreon: http://www.patreon.com/numberphile...
published: 03 Jun 2012
-
Is math discovered or invented? - Jeff Dekofsky
Explore some of the most famous arguments in the ancient debate: is math a human construct or part of the fabric of the universe?
--
Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is math the native language of the universe itself? Jeff Dekofsky traces some famous arguments in this ancient and hotly debated question.
Lesson by Jeff Dekofsky, animation by The Tremendousness Collective.
Sign up for our newsletter: http://bit.ly/TEDEdNewsletter
Support us on Patreon: http://bit.ly/TEDEdPatreon
Follow us on Facebook: http://bit.ly/TEDEdFacebook
Find us on Twitter: http://bit.ly/TEDEdTwitter
Peep us on Instagram: http://bit.ly/TEDEdInstagram
View full lesson: http://ed.ted.com/lessons/is-math-discovered-or-invente...
published: 27 Oct 2014
-
Philosophy of Mathematics: Platonism
A non-technical introduction to platonism in the philosophy of mathematics.
Philosophy of mathematics is important, especially for philosophers interested in metaphysics. Suppose, for instance, you have nominalist tendencies, and you argue against the existence of abstract objects. Well, probably the most important kind of abstract objects are found in mathematics. Any serious nominalist needs to give an account of them.
Yet philosophy of mathematics is also, for obvious reasons, quite technical, and it can be pretty daunting for those who have less mathematical training. Nevertheless, I think the basic arguments can be made accessible to anyone who's interested, and that's what I've tried to do in this video.
For further reading on phil of mathematics, I recommend: "Thinking About Math...
published: 05 Oct 2013
-
What is Topology in mathematics | Introduction to Topology | Topological Space
#whatistopologyinmathematics
#introductiontotopology
#topologicalspace
Topology in mathematics is indeed a very challenging subject. What is a topological space and how it is different from Euclidean space? In this lecture, I have discussed about the basic concepts of topology and the concept of topological space. I have also explained the concept of congruency, how it changed to topological invariant and other necessary important concepts.
00:00 - 03:05 - Introduction
03:06 - 06:15 - How the concept of congruency changes
06:16 - 15:00 - What is topological invariant?
15:01 - 18:53 - What mathematics I need to learn Topology?
18:54 - 29:34 - Topology and Topological space
29:35: 36:00 - Topological space to Metric space
36:01 - 45:31 - FAQ(s) with subscribers
Subscribe for more physics...
published: 09 Dec 2023
-
Philosophy of Numbers - Numberphile
We revisit the philosophy department and the question of whether numbers really exist?
Featuring Mark Jago from the University of Nottingham.
More links & stuff in full description below ↓↓↓
Earlier video on numbers' existence: https://youtu.be/1EGDCh75SpQ
Infinity paradoxes: https://youtu.be/dDl7g_2x74Q
Film and interview by Brady Haran
Edit and animation: Pete McPartlan
Pete: https://twitter.com/petemcpartlan
Support us on Patreon: http://www.patreon.com/numberphile
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos...
published: 18 Sep 2015
35:08
Intro to the Philosophy of Mathematics (Ray Monk)
A good introduction to the philosophy of mathematics by Ray Monk. He considers the issue of the nature of mathematical truth - what mathematics is actually abou...
A good introduction to the philosophy of mathematics by Ray Monk. He considers the issue of the nature of mathematical truth - what mathematics is actually about - and discusses the views of Plato,
Aristotle, Kant, Frege and Russell. What is mathematics about? Is mathematics something discovered or is it something invented or constructed by us? If numbers and mathematical objects are mere mental constructs, something invented by us, then why does mathematics work so well and seem to describe the world? On the other hand, if mathematical entities are "out there" in some sense waiting to be discovered, then what is their status and how do we get knowledge of them? After all, you can't see or touch numbers and other mathematical objects. And unlike ordinary empirical truths, mathematical truths seem to have a quite different and special status: they are a priori, necessary, eternal, universal, and absolutely certain. And this is why from the time of Plato onward, people have regarded mathematical truths as an ideal. In this talk, some of the ways in which philosophers have tried to account for the special nature of mathematical truth. (My Summary)
This is a re-upload from the other channel. Note, audio has been improved.
Another good introduction to the philosophy of mathematics: https://www.youtube.com/watch?v=XyXWnGFKTkg
More advanced talk on philosophy of mathematics: https://www.youtube.com/watch?v=ucPhfzCvKnE
#Philosophy #Epistemology #Mathematics
https://wn.com/Intro_To_The_Philosophy_Of_Mathematics_(Ray_Monk)
A good introduction to the philosophy of mathematics by Ray Monk. He considers the issue of the nature of mathematical truth - what mathematics is actually about - and discusses the views of Plato,
Aristotle, Kant, Frege and Russell. What is mathematics about? Is mathematics something discovered or is it something invented or constructed by us? If numbers and mathematical objects are mere mental constructs, something invented by us, then why does mathematics work so well and seem to describe the world? On the other hand, if mathematical entities are "out there" in some sense waiting to be discovered, then what is their status and how do we get knowledge of them? After all, you can't see or touch numbers and other mathematical objects. And unlike ordinary empirical truths, mathematical truths seem to have a quite different and special status: they are a priori, necessary, eternal, universal, and absolutely certain. And this is why from the time of Plato onward, people have regarded mathematical truths as an ideal. In this talk, some of the ways in which philosophers have tried to account for the special nature of mathematical truth. (My Summary)
This is a re-upload from the other channel. Note, audio has been improved.
Another good introduction to the philosophy of mathematics: https://www.youtube.com/watch?v=XyXWnGFKTkg
More advanced talk on philosophy of mathematics: https://www.youtube.com/watch?v=ucPhfzCvKnE
#Philosophy #Epistemology #Mathematics
- published: 06 Jun 2021
- views: 86952
10:01
Mathematics and Philosophy at Oxford University
Want to know more about studying at Oxford University? Watch this short film to hear tutors and students talk about this undergraduate degree. For more informat...
Want to know more about studying at Oxford University? Watch this short film to hear tutors and students talk about this undergraduate degree. For more information on this course, please visit our website at https://www.ox.ac.uk/admissions/undergraduate/courses-listing/mathematics-and-philosophy
https://wn.com/Mathematics_And_Philosophy_At_Oxford_University
Want to know more about studying at Oxford University? Watch this short film to hear tutors and students talk about this undergraduate degree. For more information on this course, please visit our website at https://www.ox.ac.uk/admissions/undergraduate/courses-listing/mathematics-and-philosophy
- published: 05 Oct 2017
- views: 65669
8:45:02
Introduction to Mathematical Philosophy (FULL Audiobook)
Check out this book
http://free-audio-books.info/the-new-book-of-this-channel/2789/
Introduction to Mathematical Philosophy - audiobook
Bertrand RUSSELL (1872 ...
Check out this book
http://free-audio-books.info/the-new-book-of-this-channel/2789/
Introduction to Mathematical Philosophy - audiobook
Bertrand RUSSELL (1872 - 1970)
Bertrand Russell wrote 'Introduction to Mathematical Philosophy' while imprisoned for protesting Britain's involvement in World War I. Russell summarizes the significance of the momentous work of mathematicians in the late nineteenth-century. He further describes his own philosophy of mathematics, Logicism (the view that all mathematical truths are logical truths), and his earlier, influential work solving the paradoxes that plagued mathematical foundations, which crystallized after ten years of dogged effort into the co-authored (with Alfred North Whitehead), three-volume 'Principia Mathematica'. Russell emphasizes the importance of a doctrine of types, the truth of Logicism, and the clarity brought to the philosophy of mathematics by the method of logical analysis. (summary by Landon D. C. Elkind)
Genre(s): Philosophy, Modern
Language: English (FULL Audiobook)
https://wn.com/Introduction_To_Mathematical_Philosophy_(Full_Audiobook)
Check out this book
http://free-audio-books.info/the-new-book-of-this-channel/2789/
Introduction to Mathematical Philosophy - audiobook
Bertrand RUSSELL (1872 - 1970)
Bertrand Russell wrote 'Introduction to Mathematical Philosophy' while imprisoned for protesting Britain's involvement in World War I. Russell summarizes the significance of the momentous work of mathematicians in the late nineteenth-century. He further describes his own philosophy of mathematics, Logicism (the view that all mathematical truths are logical truths), and his earlier, influential work solving the paradoxes that plagued mathematical foundations, which crystallized after ten years of dogged effort into the co-authored (with Alfred North Whitehead), three-volume 'Principia Mathematica'. Russell emphasizes the importance of a doctrine of types, the truth of Logicism, and the clarity brought to the philosophy of mathematics by the method of logical analysis. (summary by Landon D. C. Elkind)
Genre(s): Philosophy, Modern
Language: English (FULL Audiobook)
- published: 19 Aug 2015
- views: 115905
6:25
Silvia Jonas | The Philosophy of Maths
What philosophical problems do numbers and mathematical objects bring up? Philosopher Silvia Jonas explores how mathematics shapes the ways we conceptualise rea...
What philosophical problems do numbers and mathematical objects bring up? Philosopher Silvia Jonas explores how mathematics shapes the ways we conceptualise reality. Watch the full interview https://www.youtube.com/watch?v=QKdRS1cqNPA
Subscribe to the Institute of Art and Ideas https://www.youtube.com/user/IAITV
Silvia Jonas is a philosopher at the Munich Center for Mathematical Philosophy (MCMP) working in metaphysics, philosophy of mathematics, and epistemology. She is author of Ineffability and its Metaphysics: The Unspeakable in Art, Religion, and Philosophy, and is currently working on a Marie Sklodowska-Curie Fellowship, investigating how mathematics shapes the way in which philosophers conceptualise reality.
#reality #philosophy #mathematics
DELVE DEEPER
For debates and talks: https://iai.tv
For articles: https://iai.tv/articles
For courses: https://iai.tv/iai-academy/courses
https://wn.com/Silvia_Jonas_|_The_Philosophy_Of_Maths
What philosophical problems do numbers and mathematical objects bring up? Philosopher Silvia Jonas explores how mathematics shapes the ways we conceptualise reality. Watch the full interview https://www.youtube.com/watch?v=QKdRS1cqNPA
Subscribe to the Institute of Art and Ideas https://www.youtube.com/user/IAITV
Silvia Jonas is a philosopher at the Munich Center for Mathematical Philosophy (MCMP) working in metaphysics, philosophy of mathematics, and epistemology. She is author of Ineffability and its Metaphysics: The Unspeakable in Art, Religion, and Philosophy, and is currently working on a Marie Sklodowska-Curie Fellowship, investigating how mathematics shapes the way in which philosophers conceptualise reality.
#reality #philosophy #mathematics
DELVE DEEPER
For debates and talks: https://iai.tv
For articles: https://iai.tv/articles
For courses: https://iai.tv/iai-academy/courses
- published: 23 Nov 2019
- views: 28413
9:59
Do numbers EXIST? - Numberphile
An expert on the philosophy of mathematics, Dr Jonathan Tallant, outlines some of the key arguments about whether or not numbers ACTUALLY EXIST?
More links & st...
An expert on the philosophy of mathematics, Dr Jonathan Tallant, outlines some of the key arguments about whether or not numbers ACTUALLY EXIST?
More links & stuff in full description below ↓↓↓
Exploring platonism, nominalism and fictionalism.
Jonathan works in the University of Nottingham's Philosophy Department. Brady does more philosophy videos with Jonathan and the others at http://www.youtube.com/user/PhilosophyFile
Jonathan talks about the philosophy of time in this one: http://www.youtube.com/watch?v=zw6hS_gy9MY
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Videos by Brady Haran
Patreon: http://www.patreon.com/numberphile
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Numberphile T-Shirts: https://teespring.com/stores/numberphile
Other merchandise: https://store.dftba.com/collections/numberphile
https://wn.com/Do_Numbers_Exist_Numberphile
An expert on the philosophy of mathematics, Dr Jonathan Tallant, outlines some of the key arguments about whether or not numbers ACTUALLY EXIST?
More links & stuff in full description below ↓↓↓
Exploring platonism, nominalism and fictionalism.
Jonathan works in the University of Nottingham's Philosophy Department. Brady does more philosophy videos with Jonathan and the others at http://www.youtube.com/user/PhilosophyFile
Jonathan talks about the philosophy of time in this one: http://www.youtube.com/watch?v=zw6hS_gy9MY
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Videos by Brady Haran
Patreon: http://www.patreon.com/numberphile
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Numberphile T-Shirts: https://teespring.com/stores/numberphile
Other merchandise: https://store.dftba.com/collections/numberphile
- published: 03 Jun 2012
- views: 1210548
5:11
Is math discovered or invented? - Jeff Dekofsky
Explore some of the most famous arguments in the ancient debate: is math a human construct or part of the fabric of the universe?
--
Would mathematics exist i...
Explore some of the most famous arguments in the ancient debate: is math a human construct or part of the fabric of the universe?
--
Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is math the native language of the universe itself? Jeff Dekofsky traces some famous arguments in this ancient and hotly debated question.
Lesson by Jeff Dekofsky, animation by The Tremendousness Collective.
Sign up for our newsletter: http://bit.ly/TEDEdNewsletter
Support us on Patreon: http://bit.ly/TEDEdPatreon
Follow us on Facebook: http://bit.ly/TEDEdFacebook
Find us on Twitter: http://bit.ly/TEDEdTwitter
Peep us on Instagram: http://bit.ly/TEDEdInstagram
View full lesson: http://ed.ted.com/lessons/is-math-discovered-or-invented-jeff-dekofsky
https://wn.com/Is_Math_Discovered_Or_Invented_Jeff_Dekofsky
Explore some of the most famous arguments in the ancient debate: is math a human construct or part of the fabric of the universe?
--
Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is math the native language of the universe itself? Jeff Dekofsky traces some famous arguments in this ancient and hotly debated question.
Lesson by Jeff Dekofsky, animation by The Tremendousness Collective.
Sign up for our newsletter: http://bit.ly/TEDEdNewsletter
Support us on Patreon: http://bit.ly/TEDEdPatreon
Follow us on Facebook: http://bit.ly/TEDEdFacebook
Find us on Twitter: http://bit.ly/TEDEdTwitter
Peep us on Instagram: http://bit.ly/TEDEdInstagram
View full lesson: http://ed.ted.com/lessons/is-math-discovered-or-invented-jeff-dekofsky
- published: 27 Oct 2014
- views: 3176724
1:13:21
Philosophy of Mathematics: Platonism
A non-technical introduction to platonism in the philosophy of mathematics.
Philosophy of mathematics is important, especially for philosophers interested in m...
A non-technical introduction to platonism in the philosophy of mathematics.
Philosophy of mathematics is important, especially for philosophers interested in metaphysics. Suppose, for instance, you have nominalist tendencies, and you argue against the existence of abstract objects. Well, probably the most important kind of abstract objects are found in mathematics. Any serious nominalist needs to give an account of them.
Yet philosophy of mathematics is also, for obvious reasons, quite technical, and it can be pretty daunting for those who have less mathematical training. Nevertheless, I think the basic arguments can be made accessible to anyone who's interested, and that's what I've tried to do in this video.
For further reading on phil of mathematics, I recommend: "Thinking About Mathematics" by Stewart Shapiro and "Introducing Philosophy of Mathematics" by Michele Friend. These are both fairly orthodox introductions. For an introduction that focuses more on contemporary issues (it has just a few pages devoted to formalism, logicism, and intuitionism, yet a whole chapter on paraconsistent mathematics), I recommend "An Introduction to the Philosophy of Mathematics" by Mark Colyvan.
There is some debate about how exactly to formulate the Quine-Putnam Indispensability Argument. In this video, I've followed Colyvan (see his aforementioned "Introduction").
Re 43:26: I'm not sure why I said that. Obviously, Von Neumann did not hold the absurd belief that every ordinal *is* the ordinal before it; rather he believed that every ordinal is *the set of* all ordinals before it.
Re 1:01:18: I should have noted at this point that in her book "Realism in Mathematics", Maddy spends quite a bit of time answering objection (1).
Plenitudinous platonism is also known by the name "full-blooded platonism". Mark Balaguer's exposition of it can be found in "Platonism and Anti-Platonism in Mathematics". This book is also the source of the third objection to Maddy's views, about the difficulties of avoiding the aggregate theory of sets. The objection is explained in somewhat more detail there.
I said that I consider PP the most interesting form of platonism. This is not quite true. In my opinion, PP is not plenitudinous enough. The problem is that it allows only *consistent* theories. Those of us who are friends of paraconsistency will consider this an unwelcome restriction. Beall presents a more liberal form of PP in this short paper: http://homepages.uconn.edu/~jcb02005/papers/fbplatonism.pdf
https://wn.com/Philosophy_Of_Mathematics_Platonism
A non-technical introduction to platonism in the philosophy of mathematics.
Philosophy of mathematics is important, especially for philosophers interested in metaphysics. Suppose, for instance, you have nominalist tendencies, and you argue against the existence of abstract objects. Well, probably the most important kind of abstract objects are found in mathematics. Any serious nominalist needs to give an account of them.
Yet philosophy of mathematics is also, for obvious reasons, quite technical, and it can be pretty daunting for those who have less mathematical training. Nevertheless, I think the basic arguments can be made accessible to anyone who's interested, and that's what I've tried to do in this video.
For further reading on phil of mathematics, I recommend: "Thinking About Mathematics" by Stewart Shapiro and "Introducing Philosophy of Mathematics" by Michele Friend. These are both fairly orthodox introductions. For an introduction that focuses more on contemporary issues (it has just a few pages devoted to formalism, logicism, and intuitionism, yet a whole chapter on paraconsistent mathematics), I recommend "An Introduction to the Philosophy of Mathematics" by Mark Colyvan.
There is some debate about how exactly to formulate the Quine-Putnam Indispensability Argument. In this video, I've followed Colyvan (see his aforementioned "Introduction").
Re 43:26: I'm not sure why I said that. Obviously, Von Neumann did not hold the absurd belief that every ordinal *is* the ordinal before it; rather he believed that every ordinal is *the set of* all ordinals before it.
Re 1:01:18: I should have noted at this point that in her book "Realism in Mathematics", Maddy spends quite a bit of time answering objection (1).
Plenitudinous platonism is also known by the name "full-blooded platonism". Mark Balaguer's exposition of it can be found in "Platonism and Anti-Platonism in Mathematics". This book is also the source of the third objection to Maddy's views, about the difficulties of avoiding the aggregate theory of sets. The objection is explained in somewhat more detail there.
I said that I consider PP the most interesting form of platonism. This is not quite true. In my opinion, PP is not plenitudinous enough. The problem is that it allows only *consistent* theories. Those of us who are friends of paraconsistency will consider this an unwelcome restriction. Beall presents a more liberal form of PP in this short paper: http://homepages.uconn.edu/~jcb02005/papers/fbplatonism.pdf
- published: 05 Oct 2013
- views: 68767
45:31
What is Topology in mathematics | Introduction to Topology | Topological Space
#whatistopologyinmathematics
#introductiontotopology
#topologicalspace
Topology in mathematics is indeed a very challenging subject. What is a topological spac...
#whatistopologyinmathematics
#introductiontotopology
#topologicalspace
Topology in mathematics is indeed a very challenging subject. What is a topological space and how it is different from Euclidean space? In this lecture, I have discussed about the basic concepts of topology and the concept of topological space. I have also explained the concept of congruency, how it changed to topological invariant and other necessary important concepts.
00:00 - 03:05 - Introduction
03:06 - 06:15 - How the concept of congruency changes
06:16 - 15:00 - What is topological invariant?
15:01 - 18:53 - What mathematics I need to learn Topology?
18:54 - 29:34 - Topology and Topological space
29:35: 36:00 - Topological space to Metric space
36:01 - 45:31 - FAQ(s) with subscribers
Subscribe for more physics and mathematics videos:
https://www.youtube.com/physicsforstudents?sub_confirmation=1
Join this channel to get access to perks:
https://www.youtube.com/channel/UCVDb3R8XY1FIEIccTT1NnpA/join
(1) Channel: https://www.youtube.com/physicsforstudents?sub_confirmation=1
(2) Facebook: https://www.facebook.com/physicsforstudent
(3) Instagram: https://instagram.com/physics_forstudents
(4) Linkedin:https://www.linkedin.com/in/physicsforstudents/
Email:
[email protected]
Contact: +91 9830219677
The objective of this channel is to provide educative videos on physics and mathematics.
Playlists:
(1) Most watched videos
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LASW2OMOXhtqYLhrAOY8GgJ
(2) General Relativity
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LAVDW8FGXhBgQDbYrcKXXey
(3) Special Relativity
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LDlFXMz2Kd92ElkCyYERPlo
(4) Topology
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LBhbTtDfxK9P9VoSuTTd6If
(5) Black Holes
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LD9V1md0JQMwkU6SH0tbEKa
(6) Career In Mathematics
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LDYh7lVy-WwjEt0IVC2jJJg
(7) Differential Geometry
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LCapNhpUYAZqUu3xfgHZ76w
(8) Maxwell's Equations
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LDVJ3QTTE9YrC984iuwc7tX
(9) Real Analysis
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LA2IhQincXlr-qwjo7svOgX
(10) Vectors and Tensors
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LCHM3SzJgCmmPHVaNFE5D0s
(11) Tagore Einstein conversations
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LBBQLMb3FMr4oKYbFeQFZwR
(12) History of Science
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LCTyHei0dqlRt2uTsBNdD5t
(13) Concept Building
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LDgFseXD2K_bX21tDYo4Zp5
(14) Classical Physics
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LBcZzSzlpOFmuNQLoR535wj
(15) Stephen Hawking
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LBUO-lP7stki050vuz0yJs3
(16) Grigori Perelman
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LDWKF2fSL-DtOudD3QcnUoR
(17) Basic Mathematics
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LC-1Gn4HpcOQaubEmr-QaBY
(18) Calculus
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LC5fHDWK6i2AJjpajwU98NdAbout Me
My name is Shounak. I teach in a college. My subject of specialization is the general theory of relativity, tensor calculus, and topology. I also teach communicative English.
Copyright © 2021 Physics for Students. All rights reserved.
#topologylecture
#topologymathematics
#topologymathematicslecture
#topologyformscmaths
#topologylectureseries
#whatistopology
#topologicalspace
#topologicalspacevsmetricspace
#topologicalspacemetricspace
#topologicalspaceexplained
#topologymath
#topologydefiniton
#homeomorphsim
#homeomorphic
#algebraictopology
#topologymathematicslecture
#topologyformscmaths
#topologylectureseries
#whatistopology
#topologicalspacemetricspace
#topologicalspaceexplained
#topologicalspacemathematics
#topologicalspaceandmetricspace
#topologicalspaceneighbourhood
#topologicalspaceinmaths
#topologicalspaceintroduction
https://wn.com/What_Is_Topology_In_Mathematics_|_Introduction_To_Topology_|_Topological_Space
#whatistopologyinmathematics
#introductiontotopology
#topologicalspace
Topology in mathematics is indeed a very challenging subject. What is a topological space and how it is different from Euclidean space? In this lecture, I have discussed about the basic concepts of topology and the concept of topological space. I have also explained the concept of congruency, how it changed to topological invariant and other necessary important concepts.
00:00 - 03:05 - Introduction
03:06 - 06:15 - How the concept of congruency changes
06:16 - 15:00 - What is topological invariant?
15:01 - 18:53 - What mathematics I need to learn Topology?
18:54 - 29:34 - Topology and Topological space
29:35: 36:00 - Topological space to Metric space
36:01 - 45:31 - FAQ(s) with subscribers
Subscribe for more physics and mathematics videos:
https://www.youtube.com/physicsforstudents?sub_confirmation=1
Join this channel to get access to perks:
https://www.youtube.com/channel/UCVDb3R8XY1FIEIccTT1NnpA/join
(1) Channel: https://www.youtube.com/physicsforstudents?sub_confirmation=1
(2) Facebook: https://www.facebook.com/physicsforstudent
(3) Instagram: https://instagram.com/physics_forstudents
(4) Linkedin:https://www.linkedin.com/in/physicsforstudents/
Email:
[email protected]
Contact: +91 9830219677
The objective of this channel is to provide educative videos on physics and mathematics.
Playlists:
(1) Most watched videos
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LASW2OMOXhtqYLhrAOY8GgJ
(2) General Relativity
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LAVDW8FGXhBgQDbYrcKXXey
(3) Special Relativity
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LDlFXMz2Kd92ElkCyYERPlo
(4) Topology
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LBhbTtDfxK9P9VoSuTTd6If
(5) Black Holes
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LD9V1md0JQMwkU6SH0tbEKa
(6) Career In Mathematics
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LDYh7lVy-WwjEt0IVC2jJJg
(7) Differential Geometry
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LCapNhpUYAZqUu3xfgHZ76w
(8) Maxwell's Equations
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LDVJ3QTTE9YrC984iuwc7tX
(9) Real Analysis
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LA2IhQincXlr-qwjo7svOgX
(10) Vectors and Tensors
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LCHM3SzJgCmmPHVaNFE5D0s
(11) Tagore Einstein conversations
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LBBQLMb3FMr4oKYbFeQFZwR
(12) History of Science
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LCTyHei0dqlRt2uTsBNdD5t
(13) Concept Building
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LDgFseXD2K_bX21tDYo4Zp5
(14) Classical Physics
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LBcZzSzlpOFmuNQLoR535wj
(15) Stephen Hawking
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LBUO-lP7stki050vuz0yJs3
(16) Grigori Perelman
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LDWKF2fSL-DtOudD3QcnUoR
(17) Basic Mathematics
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LC-1Gn4HpcOQaubEmr-QaBY
(18) Calculus
https://www.youtube.com/playlist?list=PL2n-gxsZ_8LC5fHDWK6i2AJjpajwU98NdAbout Me
My name is Shounak. I teach in a college. My subject of specialization is the general theory of relativity, tensor calculus, and topology. I also teach communicative English.
Copyright © 2021 Physics for Students. All rights reserved.
#topologylecture
#topologymathematics
#topologymathematicslecture
#topologyformscmaths
#topologylectureseries
#whatistopology
#topologicalspace
#topologicalspacevsmetricspace
#topologicalspacemetricspace
#topologicalspaceexplained
#topologymath
#topologydefiniton
#homeomorphsim
#homeomorphic
#algebraictopology
#topologymathematicslecture
#topologyformscmaths
#topologylectureseries
#whatistopology
#topologicalspacemetricspace
#topologicalspaceexplained
#topologicalspacemathematics
#topologicalspaceandmetricspace
#topologicalspaceneighbourhood
#topologicalspaceinmaths
#topologicalspaceintroduction
- published: 09 Dec 2023
- views: 245
9:41
Philosophy of Numbers - Numberphile
We revisit the philosophy department and the question of whether numbers really exist?
Featuring Mark Jago from the University of Nottingham.
More links & stuff...
We revisit the philosophy department and the question of whether numbers really exist?
Featuring Mark Jago from the University of Nottingham.
More links & stuff in full description below ↓↓↓
Earlier video on numbers' existence: https://youtu.be/1EGDCh75SpQ
Infinity paradoxes: https://youtu.be/dDl7g_2x74Q
Film and interview by Brady Haran
Edit and animation: Pete McPartlan
Pete: https://twitter.com/petemcpartlan
Support us on Patreon: http://www.patreon.com/numberphile
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos by Brady Haran
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Numberphile T-Shirts: https://teespring.com/stores/numberphile
Other merchandise: https://store.dftba.com/collections/numberphile
https://wn.com/Philosophy_Of_Numbers_Numberphile
We revisit the philosophy department and the question of whether numbers really exist?
Featuring Mark Jago from the University of Nottingham.
More links & stuff in full description below ↓↓↓
Earlier video on numbers' existence: https://youtu.be/1EGDCh75SpQ
Infinity paradoxes: https://youtu.be/dDl7g_2x74Q
Film and interview by Brady Haran
Edit and animation: Pete McPartlan
Pete: https://twitter.com/petemcpartlan
Support us on Patreon: http://www.patreon.com/numberphile
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos by Brady Haran
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Numberphile T-Shirts: https://teespring.com/stores/numberphile
Other merchandise: https://store.dftba.com/collections/numberphile
- published: 18 Sep 2015
- views: 431619