@louismartin4446
I started reading Russel’s “the limits of the human mind” and I found out mine lasted one paragraph.
@KittchenSink
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!
@xxFortunadoxx
This is a great explanation of set theory and Russell's Paradox marred only by the final part of the video which fundamentally doesn't understand the difference between the tolerances of mathematics and natural language. Mathematics and set theory require absolute logical consistency. Paradoxes are devastating to the proofs it generates. Godel's Incompleteness Theorems show that formal systems like this are impossible to make logically consistent, but incomplete systems (like ZF set theory) can remain consistent. Natural language and grammatical rules do not require absolute logical consistency. Semantics and syntax are more pragmatic tools that are useful via their utility rather than their consistency. They do need to be consistent, but to a much lower standard than set theory and other formal systems. The existence of the Liar's Paradox doesn't suddenly make language impossible, because language isn't a formal system to derive truth; it's a tool to communicate ideas effectively enough to other people. That's why Idioms don't have to be grammatically correct, and words can have their letters jumbled and people can still understand them. This point isn't particularly novel because it's already well known that self-referentiality is dangerous to formal systems and that grand unified systems like Hilbert's Program are nonsense.
@joshwah4838
I asked my girlfriend if we could have sets and she told me no because I didn't contain myself.
@lauriejordan2716
I suck at math. Like, embarrassingly bad. Due to failing several different math classes in college, I still needed a math to earn my degree. So over the summer I took a statistics course at Temple University. The Professor explained things so well and used such easily visualized and understood analogies and examples to describe everything. For the first time in my life, I actually understood math. It was also the only A in math I EVER received. Being as I am so deeply insecure, I still feel grateful for that little ego boost. I bring this long boring story up because, I just understood everything he said. This is only the second time in my life, someone has been so intelligent in a subject that they are able to break it down in such simplistic thoughts, that even I can understandthem.
@TheJuice92
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.
N/A
Although I love Russel's writings, I don't care about this subject, but I just love the way you are talking so I'm gonna watch every single video on your channel. Thank you for your contagious energy and enthusiasm!
@ujjwalchoudhary-nh5ii
when i am in a LeBron glazing competition and my opponent is jeffrey kaplan
@jonathanbenton2002
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.
@To.Ma.To_78
I speak German and understand the letter Russell wrote to his colleague. the level of confidence he put into his writing that his recipient will just understand him amazes me.
@SepehrNikdel
If we all had teachers and professors like this in all the fields of knowledge , the world would have been filled with scholars and scientists by now. What a great video. 💯💯
@Capn_Hero
Never thought I could have such an enjoyable time watching a 30 min video on advanced mathematical theory. I chuckled and even laughed multiple times. Well done sir
@kberken
I was a math major a million years ago. I wish you were one of my math profs! You are a great teacher!
@alexander0the0gray
I really didn’t expect LeBron James to be so crucial to the fundamentals of set theory. What a legend.
@rawdiamond_agency
As a software developer, this is the easiest coding tutorial i have ever seen.
@Hokie200proof
This is the kind of shit where Wittgenstein was like "yea, turns out Philosophy, my entire life's work, is just a language game and, in the end and very much like a game, it can be fun, frustrating, challenging, but ultimately meaningless." ... and everyone booed him and immediately went back to playing their own games, trying to prove him wrong by proving him right
@GarrettBryan-q7l
Being told I don't have to remember certain things is surprisingly comforting. What a wonderful video. I truly enjoyed your presentation of Russell’s paradox..
@conradolacerda
The root issue is self-referencing, as noted by Douglas Hofstadter in his famous book "Gödel, Escher, Bach": any language that allows objects to make reference to themselves will contain a form of Russell's Paradox.
@rickwilcox3045
this is absolutely one of my favorite videos on youtube! watching it lets my mind categorize, file, assign and i find it incredibly calming! thank you very much
@nyc-exile