This post will be short, but I encourage you to read it two or three times. It could save you a lot of headache.
The most convincing sort of falsehood looks like this.
1. Clearly true fact.
2. Clearly true secondary fact that's emotionally charged.
3. Faulty causality that ties the two together.
That simple structure is so convincing, but so incredibly bad for you that it'll get you into all kinds of trouble. Especially if you're analyzing your goals, or your weaknesses, or trying to form an ethical structure, or something important like that.
Stop and re-read this one. There's no way to fill in the blanks without examples that wouldn't be either very boring, or incredibly hurtful/controversial to someone going through it. But try to make some of your own in your mind, and be damn careful when something falls into this structure of argument.