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4 cards from this section. Quick, good the night before a test.
Give a counterexample for the statement 'All integers are positive.'
Think of integers that are less than zero.
What does WLOG stand for?
It allows you to simplify your proof.
What is proof by cases?
Think about how we validate universal statements.
True or False: A counterexample can prove a universally quantified statement is true.
Remember what a counterexample represents.
Prove that for any integer n, if n is odd, then n² is also odd using proof by cases.
Break down what odd means in terms of definition.
Discuss the implications of constructing a non-constructive proof regarding irrationality and rationality.
Explore examples like √2 raised to itself.
6 more questions in this section. Enroll free to practise them all.
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