Unit 4: Venn Diagrams
In addition to using predicate logic, the limitations of sentential logic can also be overcome by using Venn diagrams to illustrate statements and arguments. Statements that include general words like "some" or "few" as well as absolute words like "every" and "all" – so-called categorical statements – lend themselves to being represented on paper as circles that may or may not overlap.
Venn diagrams are especially helpful when dealing with the logical arguments called syllogisms. Syllogisms are a special type of three-step argument with two premises and a conclusion, which involve quantifying terms. In this unit, you will learn the basic principles of Venn diagrams, how to use them to represent statements, and how to use them to evaluate arguments.
Completing this unit should take you approximately 6 hours.
4.1: Introduction to Venn Diagrams
4.1.1: Venn Diagrams as Illustrations of Sets or Classes
4.1.2: More Complicated Venn Diagrams
4.1.3: Illustrating Experience with Venn Diagrams
4.1.4: Review of Introduction to Venn Diagrams
4.2: Venn Diagrams and Arguments
4.2.1: Using Venn Diagrams to Evaluate Syllogisms
4.2.2: Understanding the Logic of Venn Diagrams
4.2.3: The Limitations of Venn Diagrams
4.2.4: Review of Venn Diagrams and Arguments