SOLUTION: Classify the following statement, using any technique you can: ~A ∨ (B ⊃ A)
Consistent
Contingent statement
Tautology
Self-contradiction
Algebra ->
Proofs
-> SOLUTION: Classify the following statement, using any technique you can: ~A ∨ (B ⊃ A)
Consistent
Contingent statement
Tautology
Self-contradiction
Log On
Begin the truth table with this:
~A ∨ (B ⊃ A)
T T T
T F T
F T F
F F F
Then do the ~ before the A:
~A ∨ (B ⊃ A)
FT T T
FT F T
TF T F
TF F F
*
Then do the ⊃ between B and A
~A ∨ (B ⊃ A)
FT T T T
FT F T T
TF T F F
TF F T F
*
Finally do the v
~A ∨ (B ⊃ A)
FT T T T T
FT T F T T
TF F T F F
TF T F T F
*
A contingent statement is a statement which could logically
be either true or false.
Since 3 of the lines of the truth table is false and the
others are true, this is a contingent statement.
Edwin