Proof by Contrapositive: If n^2 is Even then n is Even

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Using the contrapositive, we prove that if n^2 is even then n is even. A proof by contrapositive is not necessary here, we'll touch on how it could be done directly, but this is definitely a case where the contrapositive is more obvious. We'll also recap what the contrapositive actually is, and why we care about it. #Proofs

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Комментарии
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Can't wait for the calculator documentary. Wait its out im going to watch it.

phil
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you are single handedly getting me through my discrete mathematics class lol. thank you, super helpful content

davidosborne
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The fact that 2 is already in n (it’s a factor of n) and, therefore, makes n an even number was hard for me to grasp the first time around.

PAUNOMOLUSCO
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Nice proof why don't you teach on youtube

tech-guide
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Was able to follow along, even able to finish it!

tauceti
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In this case couldn't you just prove the converse, i.e. "when n is even then n^2 is even" ?

SeeTv.
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Could you proof this same statement using the direct method?

Blendingpassion
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Can you explain if n² is even, then a is even

edvinshanuka
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Can you make a video on proving the fundamental theorem of arithmetic

krasimirronkov
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Nice explanation nice proof
Thanks .

kibromhabtom