Question

Use the FULL truth-table method to determine whether the following argument form is valid or invalid. Show the complete table (with a column of ‘T’s and ‘F’s under every operator); state explicitly whether the argument form is valid or invalid; and clearly identify counterexample rows, if there are any.

(p ⋅ q) ⊃ ~(q ∨ p), p ⊃ (p ⊃ q) /∴ q ≡ p

Use the FULL truth-table method to determine whether the following argument form is valid or invalid. Show the complete table (with a column of ‘T’s and ‘F’s under every operator); state explicitly whether the argument form is valid or invalid; and clearly identify counterexample rows, if there are any.

(p ∨ q) ⊃ ~r, r ≡ ~q /∴ q ⊃ p

Use the SHORT truth-table method to determine whether the following argument form is valid or invalid. Show your work (Ts and Fs under as many operators--and over as many variables--as necessary); if the argument form is invalid, indicate which assignment(s) of truth-values to the variables provides a counterexample.

~p ≡ q, ~r ⊃ t, p ⋅ ~t, s ⊃ ~r /∴ s ⊃ q

Use the SHORT truth-table method to determine whether the following argument form is valid or invalid. Show your work (Ts and Fs under as many operators--and over as many variables--as necessary); if the argument form is invalid, indicate which assignment(s) of truth-values to the variables provides a counterexample.

p ⊃ (r ∨ s), ~(q ∨ t), r ⊃ t, s ⊃ q /∴ ~q ⊃ p

Answer 1