MODR 1711 Lecture 18: Class 18
13 Apr 2018
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Document Summary
Truth tables are a way to represent all of the possible combinations of truth values for the sentence letters and how those combinations affect the truth of the proposition as a whole. We can compute the truth value of a complex proposition by constructing a truth table to represent all of the possible combinations of truth values. We calculate how many rows are needed in the truth table by using the equation 2n where n=the number of sentence letters. So the proposition p v q will have 22 rows or 4. A proposition with three sentence letters will have 8 rows and so on. We calculate the number of columns that are needed by having a column for each sentence letter and a column for each connective. So ~a l (b v c) will have 6 columns. The first thing that we do is represent all possible truth values for the sentence letters.
