The parts of an argument are the premise and the conclusion. The conclusion is what the claim of the argument is, and the premise is the reasoning given for the claim. Both should be statements, which are declarative sentences.
The different models of arguments that Daniel H. Cohen gives in his TEDx Talk "For Arguments Sake" found here are:
Arguments-as-war model: the dialectical, adversarial model. There is "winning" and "losing," and what we think of when we hear the word "argument." This model is highly influential in how we argue and how we view arguments.
Arguments-as-proofs model: mathematical-esque model. This model is analytical, and makes sure that the premises are warranted and if the conclusion is related to the premises appropriately.
Arguments-as-performance model: the rhetorical model. This is an argument performed for an audience, like a crowd or a jury. There is a special aspect of this kind of argument, because you have to tailor it to your audience. They have their own unique role.
Test What You've Learned
Now test what you've learned. With or without looking at the information, which model is the mathematical-esque one?
The arguments-as-proofs model is correct! Did you get it right?
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