To all the math geeks, any advice on how I can get good at writing and understanding proofs???

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To all the math geeks, any advice on how I can get good at writing and understanding proofs???

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Contrapositive are the same as contradiction, they shouldn’t have different names
“Suppose A, now for the sake of contradiction suppose -b then… -A, a contradiction, thus A implies b.”
Is the same thing as
“Suppose -b, then… -A. Therefore by contrapositive A implies b.”
Their just linguistically different but that doesn’t make them different, anything provable with the first technique is provable with the second technique and vice versa. Contrapositive adds nothing.
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Feb. 25 2020: Trying to do math proofs is proving to be harder than I thought.

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CALCULUS 3 HELP
so I’m just trying to do a simple proof but I SUCK at proofs. This is my best attempt, but I know that it’s wrong because I haven’t actually done anything to prove that c in this case needs to be positive. Can anyone help me?
Find out how logic, induction, visuals, bijections, and a little algebra can prove some surprising math theorems.
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