Introduction to Proof Methods!

[@BrainGainzOfficial]

TIMESTAMPS: 0:35 - Goals of this video 2:35 - Thanks for voting! 3:20 - Info needed for this video 3:52 - What is a proof? 5:15 - How to use the direct proof method to prove p implies q. 6:11 - Why does this method even work? 8:05 - Tucci's tips for proving shit 10:37 - Definitions needed for this video 14:00 - Example Proof #1 17:50 - Example Proof #2 20:52 - Example Proof #3 24:27 - Example Proof #4 29:20 - Example Proof #5 I spent a lot of time on this video! I hope it shows, and I hope everyone gets the explanation they need! Are y'all interested in seeing more videos like this? Proof by contrapositive? Proof by contradiction? Proof by induction? Let me know! Thanks for the continued support! Keep flexin'!

[@OtiumAbscondita]

YES! SHOW US *ALL* THE METHODS!

[@tharindu1983]

Very clear..and informative ..Thanks..Cheers

[@danielkelsosmith]

Absolute legend. Going over things slowly instead of the other 3 minute videos on YT. Appreciate these videos more than ever man, thank you!

[@mister_allmond]

PhD + Old guy with a beard = Proofs!! LOL this is what I thought too! very informative vid!

[@mrcute4584]

THANK YOUUU MY CONFIDENCE CAME BACK A LITTLE

[@randydollente9651]

@BrainGainzOfficial Thank you for this video and series; I'm an older student getting back into math who never had experience in proof writing, so I very much appreciate your style and flow of presenting this subject.

[@frozenmoon998]

Starting it nicely with good 'ol proof methods :)

[@xriccardo1831]

could you make a series on proofs? I'm teaching myself math and i just finished analysis 1 and im finishing linear algebra, i understand proofs in the books but i want to be able to write some good ones on my own.

[@BrainGainzOfficial]

xRiccardo - i plan on finishing a series on proofs eventually! Thanks for the positive feedback!

[@mfarrokay8720]

Dude I love you so much! I was taking Real Analysis, without having taken any proof class [I am an Economics student], and I am struggling so so much in it. And then I found this, and everything is making sense. I hope that by the time I finish your proof series, I will actually be able to solve a question for Real Analysis. In any case, learning a lot!

[@BrainGainzOfficial]

Awesome! Glad I could help :)

[@nobszone2633]

Hi saw you on Giilian Perkins channel! Good work!

[@abdullahb4367]

great stuff, please keep proofing!

[@abdoulazizdabo9064]

“I am stupid “ lol. You’re so great bro 😎

[@ItsSMG14]

Thank you very much for making this video. It was very helpful 🙏

[@undeadstarfish4908]

Good videos man

[@nicolemulure]

Thank you for these amazing lessons! This is awesome , forever grateful😊

[@antonettelewis2255]

Love your content, thanks for taking te time to help someone else.

[@AshishSingh-753]

Good explain and I like your way to tell something Real thanks

[@anastasiarose9781]

Great video! Learned a lot. Thanks for such amazing break down

[@mrmm1797]

Hello. I'm interested to see how you would prove example 2 by contradiction. Wouldn't it be shorter than a direct proof?

[@47alec]

Your a G thank you

[@DAOXINNo15]

I am trying as I am in Discrete math for computer science and I tried proving before watching the rest and I keep getting it all wrong. >.< Trying to understand but not getting there yet at all. Dx

[@btrain9912]

this is great

[@ldpenrose]

Great Video! Thanks

[@BrainGainzOfficial]

I'm glad you enjoyed Leo! :D

[@OfficialKrackGyamfi]

Make a series on numerical analysis

[@renatodoctorjr1382]

Great method

[@yurpipipchz75]

first five minutes I could not stop looking at his shoulders

[@UniteMunyanyiwa]

Thank u

[@ryesm3408]

v good

[@selbill3644]

never thought i would study math and laugh at once

[@mrcute4584]

PLEASE GO ON WITH THE PROOFS PLEASE

[@isackdudiondiek8916]

5 star you are the best

[@benjaminkhoury304]

Really enjoying your videos! I have a question about example number three. I set both x and y to be 2k+1, then after multiplying and factorising i was left with 4k(k+1)+1. 4k would always be even then multiplying an even by an even or an odd (k+1) would always be an even. Finally adding one would give an odd. Is my method also a correct way to go about this? Thanks!

[@shettyds554]

What are the Disadvantages of Direct Proof?

[@juvymarie8197]

More examples pleaaaaaase

[@yamatanoorochi3149]

14:30 what's my pee and what's my cue 🤨

[@bone5200]

i like the general content, but i wish you spent less time talking more time doing. i just want to see the problems worked. maybe that's just me

[@randydollente9651]

what if he made two versions of the videos: 1) one in the way he wants, and 2) one in a way that presents the proof with no commentary? Perhaps it's because I'm new to Mathematical proof writing, but I actually appreciated his effort to make this subject approachable, comprehensible, and enjoyable. If I wanted proof writing speed-runs, I'd watch videos by other math KZbinrs, like Math Sorcerer or Wrath of Math.

[@gerardsagliocca6292]

You digress too much.