5. Paradoxes In the last lecture, I explained why it was crucial for us to be able to use vagueness both in our language and in our thought. But today I want to describe some of the difficulties that vagueness can lead us into. I'll start not by talking about slippery slope fallacies, which are the fallacies that result from the use of vagueness rather. [00:00:28] I want to talk about another phenomenon that can be easily confused with slippery slope fallacies. I want to talk about the paradoxes of vagueness. [00:00:42] Paradoxes are not the same as fallacies fallacies, as I've explained are errors in reasoning. Paradoxes in contrast are sets of statements. Each one of which appears to be obviously true. But they can't all be true together. Let me explain by giving an example of a paradox of vagueness, let's take a term that doesn't have a precise definition. [00:01:13] It's only vaguely defined. Consider the term crowd. Now, I assume we can all agree that one person is not ...