Introduction: What is dialectic? What is logic?

The second liberal art is logic or dialectic. Dialectic typically refers to the practice of precise discussion, using a question and answer format with facts or apparent facts, to explain or get at the truth. It has another, less academic, use I'll explain later. Logic is a more narrow term, referring to the form of correct argument rather than the whole process. In classical school literature, you'll see the two words used interchangeably (I will as well), this has classical precedent. For instance, the stoics tended to use the word logic to refer to argument, monologue, persuasion, theory, and several other domains. The best definition for logic/dialectic is the art of reasoning for the purpose of discovering or demonstrating the truth. And so logic involves the study of the forms of argument as well as specific arguments. But why study dialectic? Isn't it easier to just go with gut feelings or go a long to get along?