Construct the truth table of the following compound propositions by following the steps in this workbook to determine whether it is a tautology, a contradiction, or a contingency given that all variables are considered propositions. 3. ([P→4)^cr → s)]^(~ pv ~ r)} →~qv~ s)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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Construct the truth table of the following compound propositions by following the steps in this
workbook to determine whether it is a tautology, a contradiction, or a contingency given that all
variables are considered propositions.
3. [p>9)^cr → s) ]^(~ pv ~ r)} →~qV~ 8)
Transcribed Image Text:Construct the truth table of the following compound propositions by following the steps in this workbook to determine whether it is a tautology, a contradiction, or a contingency given that all variables are considered propositions. 3. [p>9)^cr → s) ]^(~ pv ~ r)} →~qV~ 8)
Step 1: Determine the number of the
combination for all the possible combinations
of the components by following the formula ,
where n is the number of the simple
propositions.
Step 2: Represent the simple propositions using
lower case letters while compound propositions
using uppercase letters, follow the hierarchy of
connectives.
Transcribed Image Text:Step 1: Determine the number of the combination for all the possible combinations of the components by following the formula , where n is the number of the simple propositions. Step 2: Represent the simple propositions using lower case letters while compound propositions using uppercase letters, follow the hierarchy of connectives.
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