Proofs Flashcards

1
Q

what is proof by exhaustion

A

we show that a statement is true for each number in consideration (or subsets of numbers)

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2
Q

what is disproof by counterexample

A

where a statement is shown to be wrong by finding a single example for when it is not satisfied

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3
Q

what is proof by contradiction

A

a form of proof that establishes the truth or the validity of a proposition, by showing that assuming the proposition to be false leads to a contradiction

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4
Q

define contrapositive

A

refers to the inference of going from a conditional statement into its logically equivalent contrapositive

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5
Q

odd number

A

2n + 1

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6
Q

even number

A

2n

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