People try to convince you about things all the time, whether they're just explaining something or outright trying to persuade you to change your mind.
The next time you read or watch something, step back and think about what type of underlying reasoning would be needed to make the point, and then see if the author/speaker is using that reasoning (and using it well).
You might find that having even this simple framework helps you appreciate good communication as well as identify sloppy thinking.