The problem with trying to be "define any assumptions" and using "a clear chain of logic" is that, if you do this right, you will realise that there's really very few things you can actually say about anything at all. This is a problem when it comes to day to day dealings.

On the one hand, average population do not agree on what can be construed as "self-evident". On the other hand, what seems self-evident within our limited capacity is often misguided or frustratingly incomplete. Even if we sorted both these out, being logical means having to deal with details. My experience has been that average person does not like to deal with the details.