1. Introduction

1.1. Formal deductive logic

1.1.0. Overview

The topic of this course is the study of reasoning; but we will study only certain aspects of reasoning and study them only from one perspective. The special character of our study is indicated by the label formal deductive logic, and our first task will be to see what this label means. The terms formal and logic specify the way in which we will study reasoning while the term deductive specifies the sort of reasoning we will study. In the course of the subsections listed below, we will look at each of these three terms in a little more detail.

1.1.1. Logic
Logic is concerned with features that make reasoning good in certain respects.

1.1.2. Inference and arguments
The key form of reasoning that we will consider is inference; the premises and conclusion of an inference make up an argument.

1.1.3. Deductive inference
An inference is deductive when its conclusion extracts information already present in its premises.

1.1.4. Entailment
Entailment is the relation between the premises and conclusion of a deductive inference.

1.1.5. Formal logic
Many cases of entailment can be captured by generalizations concerning certain linguistic forms.

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Glen Helman 25 Aug 2005