Chapter 7
Taking the Easy Way Out: Creating Quick Tables
IN THIS CHAPTER
Looking at the truth values of whole statements
Understanding how to set up, fill in, and read a quick table
Knowing which type of statements you’re working with
In Chapter 6, you discover how to apply truth tables to a varied array of problems in sentential logic (SL).
Now, imagine that an easier way exists for evaluating SL statements — especially for complicated statements that contain three or more constants. Thinking this way puts you in the right frame of mind for this chapter. A better way beyond plugging and chugging every truth table row for logic problems does exist — the quick table. Unlike truth tables, which require you to evaluate a problem under every possible interpretation, quick tables use only one row (or two or three at the most!) to do the work of an entire truth table.
In this chapter, you see how quick tables save you time by allowing you to work with SL statements as a whole instead of in parts, as truth tables do. I show you how to recognize the types of problems that are more easily solved with quick tables than with truth tables. And I walk you through the strategies and methods ...
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