Students will learn the foundations of writing mathematical proofs. Suppose for the sake of contradiction that there is some x where P is false. Proposition that is assumed to be true.
Is the contrapositive of the original statement true or false.
In this video I discuss some of the basics of mathematical proofs. Deducing conclusions having the form For every xifPx then Qx Many defining properties in mathematics have the form xPx Qx representing the idea All Ps are Qs Cf. Write the contrapositive of the statement. Do some exploring and find a choice of x where P is true.