Applications of Methods of Proof Form

Instructions and help about Applications Of Methods Of Proof

one of the most important methodology to prove things in all of mathematics is proof by contradiction and I'm going to remind you about an argument form that we did that when we were just considering arguments between various statements it says that if I want to prove a claim P what I could do instead is assume not P and it's not P for some contradiction some like nonsensical statement that was going to demand that indeed we had the statement P so the different steps behind proof by contradiction are going to be first I'm going to assume not P is true in other words I'm assuming that my my statement I'm trying to prove my P I'm assuming that that is false and then I'm going to a bunch of manipulations and along the way I'm hoping to get to some pure nonsense I mean like 0 is equal to 1 or that Rufus is a dog and Nas a dog something that makes no sense at all and because of the contradiction it must be that my assumption my assumption of not P that that must be false and if not P is go