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6,813,268 Views ⢠Sep 8, 2022 ⢠Click to toggle off description
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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 Russellâs 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 ZermeloâFraenkel set theory in this description for keyword search reasons.
Views : 6,813,268
Genre: Education
Date of upload: Sep 8, 2022 ^^
Rating : 4.771 (6,398/105,229 LTDR)
RYD date created : 2024-05-18T13:55:59.97707Z
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YouTube Comments - 18,876 Comments
Top Comments of this video!! :3
guys I think he might like LeBron
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I have no interest in mathematics and no advanced training in mathematics, but i can follow the concepts --and more to the point - I love listening to characters who love what they do, and Jeff, you are a fascinating character. And that is a compliment.
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I also LOVED the video you made about Peter Singer's ideas about morality. I personally have these ideas, and it's almost a "Principle" for me really, How Altruism "should work" but does Not most often. You are doing great things, teaching people Philosophy is a great way to help them cultivate a "thinking of their Own" as it's not that common these days to be honest.
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Unlike many of your commenters, I don't have anything pithy to say about your presentation. I had never heard of Russell's Paradox or anyone else's Paradox. All I can do is tell you how much I appreciate how you described it. I did have to go back and review a couple of sections near the end, but I got it!
You are passionate about sharing your knowledge with everyone who cares to learn. Even, and perhaps especially, people incarcerated in prisons. You are a gifted teacher, so thank you for sharing your knowledge with ALL of us.
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My teacher told me that "all rules have exceptions" and I told her that that meant that there are rules that don't have exceptions. Because if "all rules have exceptions" is a rule then it must have an exception that contradicts it.
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you explained it so well you brought me back to 10th grade maths
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For a 57 year old man who cannot even recite his times tables (my head just doesn't do maths), I'm stunned I actually followed that, I really did!!
That speaks volumes about this guys ability to convey information. I applaud you Sir, especially for the ability to hold my attention for the entire video. I quite enjoyed that!! I've no idea what use it is to me personally, but it was fascinating!
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I have no interest in math and somehow i just watched this whole 28 minute video on something ill never use. Youre a great content creator, bravo.
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There's just so much here to address including linguistics...
In Spanish, " corre rapido ese hombre " is different than, " ese hombre corre rapido "; but maybe it's just my spanish being my first language. Anyways in english you wound say, " that man runs fast ", maybe not, " runs fast that man ."
My point being that you're talking about two different concepts.
P.s. i love this video. I quit math after i got to college and encountered sets and matrices and what have you; but you are so informative that I'm starting to get it. Also, i still remember that i said i have a practical solution to the paradox. Forthcoming...
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you are in the set of all x such that x is a YouTuber who skillfully makes intimidating mathematical theory entertaining and intuitive
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I love the bridge between the linguistics and mathematics. I too believe that math is a branch of logic and that there are many parallels between language and math. Great Video!
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As a mathematically challenged person, this video made my head hurt and I had to rewatch several parts, several times. But, I understood much, perhaps even most, of what you said, and must agree with the other comments before mine, that you are a gifted teacher. Thank you for sharing this.
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You are the doorsteps of Quantum Logic. Keep going.
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Mathematics is just the language of the plurality observed by the eyes of the beholder
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I was a math major a million years ago. I wish you were one of my math profs! You are a great teacher!
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Btw, I like the way you explained it very much. Very clear arguments. I wish all my fundmaental and logic math classes were given this clearly.
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Well done Jeffey. Brilliantly explained to people of my medium intelllect!
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Excellent presentation. Yes, I found myself having precisely the same thoughts about the rules, just before you addressed it.
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I think my favourite example of this is "this sentence is a lie". It's the example that helped me to grasp the paradox.
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@louismartin4446
10 months ago
I started reading Russelâs âthe limits of the human mindâ and I found out mine lasted one paragraph.
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