- July 10th, 2017, 11:40 am
#291172
That article is a gross distortion of what really takes place in math, logic and science. It's a sloppy article. In logic and math, p implies q is only false in one instance, when p is true and q is false. In all other cases, it is true. So, if p is false and q is true, the statement is true, and it would also be true in the event q is false. This is nothing shocking here, since no one stated what q would be in the circumstance of p being false. For example, the statement: "If it rains, Mary will bring a rain coat," can be broken down into p being "It rains, " and q being "Mary will bring a rain coat." If it does rain, and Mary shows up with no raincoat, then the statement is false. However, if it rains, and she shows up with a raincoat, then the statement is true. In the event it does not rain? No one made any claim in that case whether Mary would or would not have a rain coat, so as long as it does not rain, the statement is considered to be true, in both logic and math, whether Mary shows up with a raincoat or not. The article simply over-reaches and is trying to claim that anything and everything goes, as long as p is false. It's taking things out of context.