Introduction to Proof Methods!

The first video I've made on proof methods! I discuss what a proof is, give some general tips, show how to prove a conditional statement using the direct proof method, and use the direct proof method to do some very beginner friendly proofs!

The goals of this video:
1. Help people understand this material better so they can succeed in their math classes.
2. Show people that proofs are not this scary and impossible thing that only expert mathematicians do.
3. Maybe even show people that once you get past the initial confusion, proofs can be really fun!

I spent a lot of time and put a lot of thought into making this video! If you want to show your appreciation, you can do that by liking the video, subscribing to my channel, and sharing this video with anyone who you feel would enjoy/benefit from it. Thank you to those of you who continue to support me!

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

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Thanks for watching! Keep flexin' those brain muscles!

[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'!

[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!

[mrcute]

THANK YOUUU MY CONFIDENCE CAME BACK A LITTLE <3

[mister_allmond]

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

[frozenmoon]

Starting it nicely with good 'ol proof methods :)

[randydollente]

@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.

[abdoulazizdabo]

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

[nobszone]

Hi saw you on Giilian Perkins channel! Good work!

[mfarrokay]

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! <3

[ItsSMG]

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

[antonettelewis]

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

[drmathsfutb]

Brain Gainz is the best on Proof Writing. Thanks in a MIllion

[xriccardo]

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.

[AshishSingh-]

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

[anastasiarose]

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

[nicolemulure]

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

[mrmm]

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

[selbill]

never thought i would study math and laugh at once

[yurpipipchz]

first five minutes I could not stop looking at his shoulders

[DAOXINNo]

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