Proof 1 • Proof by Contradiction • P2 Ex1A • 💡

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[joeclayton]

By far the hardest topic in a level maths

[shaniaviana]

Thank you for the simplest explanation on this

[fdsChan]

Hi Mr Bicen, When it comes to proofs and proof questions(AS and A2) in general, I find them quite tricky in the sense that they can literally ask you to prove anything and there doesn't seem to be a concrete method to solving them. I understand how they want us to structure our answers for example the start by assuming initial statement is false etc. etc. but the bits in between are quite tricky sometimes. Are these questions usually low tariff? Or have you seen them thrown in for a lot of marks in your experience? Just asking to prioritize my revision as I don't want a potentially small topic bottleneck my preparation for the exams. Thanks again for all your videos, super helpful!

[jasmineknight]

I this correct
1) Statement
2) Assume the statement is false
3) Prove contradiction of statement is false
4) Assumption is wrong, therefore the statement is true

[wqltr]

Slight correction, the sqaure root of an even number can only be assumed to even if it is already an integer.

[daisytucker]

Hi bicenmaths I just wanted to know if proof by contradiction only comes up in a level? Do the other proof a come up too apart from as?

[rsllpvm]

Hi Mr Bicen for proving that there is no integers a and b for which 25a+15b=1 can we do proof by exhaustion after making the assumption that there IS. for example i considered a and b to be two different even number, two different odd numbers, one odd and one even - would this be wrong

[Sxjad]

Sir what’s the best route to take for the chapters for year 2 pure

[prakash]

Hi Mr Bicens I am already a Channel Member. However I am unable to access Members Videos.

[hxvoc_]

Such an interesting topic, considering this is just out of the loop of what the other maths are

[espanhol]

4:16 but you havent proved that n+2 is not undefined, so wouldnt the proof be not rigorous enough?

[muzimi]

at 8:45 i dont understand where 2k+1 comes from

[gunjitaswami]

for 10:25 could we say 2 k squared when the integer is 2k is not odd. So, n must be even?

[jimmatrix]

"Prove that there is no greatest odd integer". Your assumption negated and proved that there exist a greater odd integer. How it is concluded as wrong? What am I missing here?

[teacupcakes]

easier then Proof by Induction, oh i hate that topic.