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It is a common experience to hear someone argue for a position, and sense that something is wrong with the argument. Perhaps the reasoning is somehow flawed or there are hidden assumptions that are questionable. We think the argument should not be persuasive but perhaps we are not sure just why. We can criticize such arguments as bad or weak, or even use stronger terms of abuse like fallacious or illogical, but that is not enough.
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There are several senses for the word "argument," so there are several ways for arguments to succeed or fail. In one sense, an argument is just an abstract structure of statement, some of which are premises and one of which is the conclusion. But that leaves out the arguer β or arguers. One person can present an argument, but it takes two to have an argument.
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Logic is the study of inferences, the links that constitute the chains of reasoning in arguments. Rhetoric is the art of rational persuasion β not just persuasion itself. Dialectics, as the term will be used here, refers to the communicative exchanges, the give and take that make up dialogical arguments.
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Two main approaches will be developed in this course. First comes critical thinking. This includes argument diagramming and fallacy identification. Diagramming is largely a descriptive exercise involving the abstraction of form from content to isolate the logical structure of ordinary arguments.Identifying an argument as fallacious is a more evaluative task. Content and "extra-logical" knowledge must be taken into account. The second approach uses the powerful techniques of symbolic logic.
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The syntax of a symbolic language is developed, along with a formal semantics to provide the means for evaluating argument validity. This section culminates with proofs, the most rigorous logical exercise. Finally, with the time remaining, we will turn to the richly expressive language and inferential powerful system of first-order predicate logic.
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