There are three essential elements in every argument: facts, logical structure, and definitions. Most people confuse these three and say that any unsound argument is illogical (Thanks, Mister Spock) But if you are going to effectively analyze and critique an argument, you have to separate these three and evaluate each in turn. Logic and definitions often get conflated, because they are both independent of facts to a great degree. But they have different rules, and in my critical thinking text I deal with them separately. This section dealt with the traditional Aristotlean view of definitions,

https://teedrockwell.medium.com/categories-necessity-and-sufficiency-42b0ee240178

and this section dealt with some more flexible views of definitions discovered by Wittgenstein.

https://teedrockwell.medium.com/categories-and-family-resemblance-98335302c631