Question

is the contrapositive the same as negation?

Answer 1

No, in a contrapositive, you switch the hypothesis and conclusion and negate them. In negation, you simply negate the hypothesis and conclusion.

Ex. If it is raining outside, then the playground is wet
Contrapositive: If the playground is not wet, then it is not raining outside.
Negation: If it is not raining ouside, then the playground is not wet.

Notice that the contrapositive is true if the original conditional is true, while the negation may not be.

Answer 2

nice

Answer 3

Isn't the negation of an "if p then q" statement "p and not q"?