Methods of Proof - Direct Proof

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The direct proof is discussed in this video. You start with the hypothesis and chain together logical statements that lead to the conclusion. The background math definitions are given and there are two example proofs in this video.

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Despite being "good at math" I have never been any more comfortable with proofs than I was in English class trying to extract what a particular piece of writing "really meant."

Closer to the grave than the cradle at this point, I am determined to overcome my bafflement with proofs. This video gave me a giant leap in the right direction, so much so that I wonder what my problem was in the first place. As other posters have pointed out, it's a tremendous help that, unlike others I've tried, this presentation doesn't assume that the viewer already knows the basic lingo.

Sincere thanks from the year 2024.

civildiscourse
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Out of few videos I watched you were the only one who clarified it by also first stating the definitions for further support. I love your channel, keep it up!

demirsjourney
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THANK YOU SO MUCH FOR THIS!!!! couldn't seem to wrap my head around what was really going on in this topic. Definitely cleared up a

selenaramoutar
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Thanks a million times. Got the book by Richard Hammack and this video just helped in solidifying the concepts. Wish you did all the proofs
though but i am grateful still

Sequence
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Thank you so much. Like seriously, I was struggling so much but I get it more now.

malfcytrash
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for the last exercise, can i say that b = ax <=> a = b/x and c = by so if a | c then by/(b/x) = by * x/b = yx and yx is an integer so a does divide c (though it wouldn't be a direct proof) ? please tell me if it works.

michaeleissenberg
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This is super informative and very easy to digest! Thank you for creating awesome content!

samuellee
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Man, ur vids are so straightforward. Great job!!!

benitoroylabastida