❖ Four Basic Proof Techniques Used in Mathematics ❖

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New to proving mathematical statements and theorem? I this video I prove the statement 'the sum of two consecutive numbers is odd' using direct proof, proof by contradiction, proof by induction and proof by contrapositive.

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Hi all! Please post comments, questions and anything else on your mind in the comment section! Also, don’t forget to LIKE, THUMBS UP, and SUBSCRIBE! I’d appreciate it greatly :)

patrickjmt

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ashtonscalise

2:37 Direct Proof
5:45 Proof by Contradiction
10:30 Proof by Induction
17:30 Proof by Contrapositive

tanishqsharma

Man, this is my first and will probably be the only YouTube comment I make; you're a god among men. I owe it to you for making it a lot easier to understand a huge chunk of the material I study at college. What you're doing is priceless and I want to thank you from the bottom of my heart. You're an amazing person for giving this priceless service out for free.

Odinuts

Dear Patrick, Hopefully, you have been faring well. I just wanted to thank you for the effort that you have been devoting to clarify things through your consecutive episodes. I'm a PhD student at EE department and still get back to your videos to learn. It is been almost 7 years or so. Thank you again. Ibrahim from KSA

ibrahimalotaibi

every time school makes me feeling like dying, I come and watch your videos and my will to live is restored. bless you man

pppppp

1 minute and 20 seconds in already you have shown more than the book and the professor teaching our course. It was never explained that there were definitions for proofs.

SirCruxr

All these years have passed, that you have fame and money now, but you're still an awesome teacher and most importantly you did not change the way you make these videos. Thank you

adonis

I'm about to start grad school for Computer Science and have decided to brush up on my fundamentals. This video is super helpful!

avatar

Damn you read my mind, I got a discrete math test with this on Friday!!!!

jazzm

I am so surprised you dont have more views. Discrete has been killing me and this really connects some of the dots. Thank you.

TurskoVideos

Could you also count “proof by exhaustion” as a proof?

pjgcommunity

I always felt some kind of excitement coming from someone who was about to proof something. Prove me wrong

ratchetheros

I just wanted to say thank you for your videos. I was in an Intermediate Collage Algebra course, but discovered through doing the homework and using your videos to help with that homework, that this was the wrong class for me to be in. It moved so fast and its assumed we already know things like how to find the slope/y intercept etc....so no only did I finally have a real question for once, I was also able to save myself several more very long months of being lost and stressed out. Usually, I would have just tried to stick it out, instead, met with my counselor and discovered that I don’t even need that class for my major since my transfer school has changed!! So long story short, thanks man!! Your videos are the best and easiest to follow along with and I will most certainly be referring to you more next semester when I take the correct Algebra course!

terrilajoie