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10 cards from this deck
Assume the opposite of what we want to prove is true
Do some maths until a nonsensical statement arises
Conclude that the original statement must be true
Not all numbers are even / At least one number is odd
ab\frac{a}{b}ba where aaa, bbb are integers with no common factors
2k2k2k where kkk is an integer
2k+12k + 12k+1 where kkk is an integer
Must state 'a contradiction'
2=ab\sqrt{2} = \frac{a}{b}2=ba with no common factors, find contradiction
Both aaa and bbb are even, contradicting no common factors
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