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)^r→s)]^(~ pv ~r),→(~qv ~ s)

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ISBN:9780470458365
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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→4)^cr→s]^(~ pv ~r)) →(~qv ~ s)
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→4)^cr→s]^(~ pv ~r)) →(~qv ~ s)
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.
Step 3: Construct the rows and columns by
leaving the end column to be the final answer to
determine whether it is a tautology or not.
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. Step 3: Construct the rows and columns by leaving the end column to be the final answer to determine whether it is a tautology or not.
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