Proof by Contradiction (Example: Smallest Positive Rational Number)

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I will never be able to express how grateful I am to you, I thought I would fail but because of you I'm getting A*s now, thank you so much!!!

thetearsofjungkook
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Why do we have to divide by 2. I'm new to doing proof, thus my reason for asking.

alprofyremedialmathsacadem
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Can we say that if E is a rational no E^2 is rational as well E^2<E for E<1 therefore statement is not true

ranveerrandhawa
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Proof: "you can divide by 2"....
So much ado about nothing...

LuisPereira-bnjq
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I like that this one is in a playlist :)

cw
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Why do p and q have to be integers? If E was 1/100 000 000, then couldn't and q=0.1? That way, p and q aren't integers D:

emilyzhang
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The thing I don't get.. E/2 < E, that is true, it doesn't meant that E/2 is less than 0, so how is it contradiction..? That is what is confusing me

IoniB
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But then what if that number you found is the smallest? it could well be the smallest, no?

misan