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Love it!!!!!!!!!!!

hello professor ！ I can’t get the sentence in 43:13 . Why does dim(phi M)=dim(phiN) follows from |L| is countable. Could you kindly explain how? Thank you!

Is this Anton Petrov speaking?

Taking this class right now with another prof at ucla, so so much better explained here, with reinforcements in intuition that was never seen my prof’s instruction. Wish these lectures were the standard at the math department here for this class.

Great lectures please continue to upload

At 8:37 the conclusion could’ve been quicker if you noticed that the transformation takes every vector in the null space to zero. Thank you for uploading these videos though. They’re very helpful.

Sir which book you are following

I just want to say a BIG thank you for explaining the parts the proofs omit. It is literally a time and life saver for me.

Thank you! Clarifying new concepts by examples is very valuable.

3:02 how do u know that infimum of f(x) for any interval for [a, b] is greater than equal to 0, was it assumed?

Is the set of variables countable? If so, why?

Thank you, professor.

This is great. I've been looking for a high quality mathematical logic playlist on youtube and this seems to be it. Thank you Prof Chernikov.

Simple and concrete. Good video.

Hello sir, i have a question about the interpretation of function symbols. I found that in order to show that thechosen interpretation is a function, have to use the fact that : "there exists x fc1,...cn=x" is universally valid sentence. Do i have the right to use it? because in the definition of formal proofs you said that we can only use : Tautologies, equality axioms and quantifier axioms. nothing about universally valid formulas.

Great lecture Prof Chernikov. Am following the whole course. Thank you. Is it possible to get the class notes for this course? Like, the handouts. Just for my personal reference.

thank you siir

Thanks!

are you following tao's book ?

Great Video!

Got a confict with classes. Hopefully youll get me through this lol. Edit, legit already better than most playlists. Induction explained clearly!!!

I liked this one, I hoped you would explain what it means vor V and V** being naturally Isomorphic vs V and V* being not, I don’t quite understand that.

What books do you recommend for this course sir?

Thank you , Professor. These lectures are so much useful for me

Thanks a lot

Thank you so much for your time and kindness sir!

Can anyone explain how at 40:22 ,. -a>0 ??

This series was an absolute gem. Thank you Professor.

4:54 shouldn't it be "a set", rather than "the set"? Otherwise this definition is kinda nonsense, as it's impossible to be satisfied.

should logic symbols also include "for all" and "or"

Very good course, easy to follow, will look at more videos. Thank you.

Brilliant! Thank you, Professor

Instant subscription

Sir, how can we conclude that m-1 is less or equal than a? (46:24)

Can you share the name of book you are following? Is it Linear Algebra by Stephen H Friedberg?

Sir pls make more vedio great explain of friedberg

p̷r̷o̷m̷o̷s̷m̷ 😕

23:00

It's really helpful! professor Thank you for your lecture

Let V= {u1,u2,u3} and let α1= (1,2,3) α2= (4,5,6) α3= (7,8,9) belongs to V.Suppose T from V to W is a linear transformation where W = {w1,w2,w3,w4}.Is it possible that T(α1) = (3,1,2,4),T(α2) = (4,2,1,5),T(α3) = (2,3,41)?Sir how to solve it?

Continue firme com os viideos! Lhe desejo toda sorte com o canal! Continue firme com os videos! Um abraço e até mais!

Your real Analysis lectures helped a lot !!

Artem thanks for this lecture series

Is there any notes that are publicly available?

Dear Prof Chernikov, thank you so very much for making your material available. This is VERY HELPFUL to independent learners and VERY MUCH APPRECIATED!!! Is it possible to have access to notes and hw?

Dear Prof Chernikov, thank you so very much for making your material available. This is VERY HELPFUL to independent learners and VERY MUCH APPRECIATED!!! Is it possible to have access to notes and hw?

Thank you Dr. Chernikov, I have watched all and copied your note.

what is the name of the book

These are awesome! are there some psets or referred textbook to accompany these lectures? I have been searching for a proper course on logic.

This is all very logical! Many thanks for your videos. 🙂