วีดีโอ

Yeah at 33:00 the numerals are overloaded, kind of like C++, if you think about things in software engineering terms 🙂

Wow! What a great explanation. I love the way he points out that the axioms express what we want from the reals, but that we still need a construction based on Q that satisfies the axioms.

Why do you require that a contradiction is written on a line and that students derive falsum? Isn’t it just easier to write falsum whenever you have a formula and it’s negation on two lines in open sub-proofs not of the same depth?

Thank you sir

Really fantastic! The only thing I couldn't understand was the problem with the nature of Dedekind cuts. Is it a model or is it the "definition" of the system of real numbers? I mean aren't there concrete definitions so we can check them mechanically? why leaving it to philosophy?

If your students can't handle it...

Great video. How do we know that each vertex configuration defines a unique solid?

jaa love u! greetings from Argentina

9:10 what a cool ass explanation I've never heard a professor explain velocity like this. I see your analysis courses are taught at a highschool is this actually analysis or just ap calc?

Nice proof sir

Nice😀

37:22 NO! Please explain more! I am confused on why you were able to prove ~P v Q in the subproofs. You mentioned you could not do this in the video that has problem #14 ( th-cam.com/video/y3Q4Ybp6mdI/w-d-xo.html )

Honestly? His best work since YSIV.

Thanks for that useful explanations❤❤

Brilliant - love the four level explanation

I am currently studying logic as my independent study and your videos have drastically helped me understand propositional logic so much better! Thank you so much!

10 years later and Mr.Rose is still the GOAT 🐐🔥💯

Good ! Clear explanation.

This explains it so clearly! Thank you 😊

In example 14 why don’t we only use the previous proof to prove it

university name please ?

If the set of all real numbers can be constructed from the rationals and you must have a corresponding A and B, then how can the cardinality of the reals be greater than the rationals? Wouldn't you need a bijection relationship from Q X Q* ( Cartesian product) to R in order for Dedekind Cuts to work?

which age group do you teach to ?

Oh stranger on the internet, you might have just saved me, thank you

Help me

Hi😊

(20:17)...yes, you are the best! 😁Thanks for your knowledge and hard work.👍

Thank you very much. Your vids helped a lot😁👍

For #21, why did we shade in the areas towards the pi/2 and towards 3pi/2 ? I thought the closer we got to those points, the GREATER it becomes. But aren’t we looking for areas where it is LESS than bcuz we have the less than sign?? I was understanding everything until this point.

For #18, could we also have written, if they gave us the restriction from [0, 2pi), (0, pi/3) U (5pi/3, 2pi) ?????

this is soooooo much easier to understand holy shit dude.

Great video! This cleared up some ideas that other videos gloss over like the idea that we really have ~(~a) and the bottom Symbol for contradiction

Dude you are amazing <3

Alas, what a pity. You are a good one, but your continued aaahhh/uuuuuhhh/oooooh in your speech is almost unbearable. And now a baby screaming. Unwatchable.

You are fun because catastrophic. And viceversa. 👍

At 5:58 I can tell that the thought police are coming to get you for teaching logic and clear-thinking!

07:10 probably a stupid question, but couldn't you just get a contradiction by conjunction introduction with 1 and 14 directly?

Thank you for the detail and clarity you used to break down this proof! As someone who is trying to self-learn real analysis, this is most helpful and appreciated.

32:36 lol, that was totally unexpected. 😂

Thank you soso much, I've been searching for good natural deduction videos and this is the only good video I could find. You will probably save my resit on logic, so thank you so much!

Why assert the existence of the empty set when you can take the union set of the subset of the infinity set that contains the empty set?

Awesome !

equation of plane containing y axis and passing through 1 2 3

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❤

You're coool.... lov3d your videos..

this guy sold me fent

Continue with this teaching