Section 2.5 Self Quiz

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. Construct a complete truth table for the following propositions. Then, using the truth table, classify each proposition as a tautology, a contingency, or a contradiction. Justify your answers by appeal to the meanings of those terms.
A ⊃ A

Tautology correct incorrect

Contingency correct incorrect

Contradiction correct incorrect

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.

Construct a complete truth table for the following propositions. Then, using the truth table, classify each proposition as a tautology, a contingency, or a contradiction. Justify your answers by appeal to the meanings of those terms.

~(~B ∨ B)

Tautology correct incorrect

Contingency correct incorrect

Contradiction correct incorrect

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. Construct a complete truth table for the following propositions. Then, using the truth table, classify each proposition as a tautology, a contingency, or a contradiction. Justify your answers by appeal to the meanings of those terms.
C ∨ (~C ⊃ C)

Tautology correct incorrect

Contingency correct incorrect

Contradiction correct incorrect

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. Construct a complete truth table for the following propositions. Then, using the truth table, classify each proposition as a tautology, a contingency, or a contradiction. Justify your answers by appeal to the meanings of those terms.
D ≡ ~D

Tautology correct incorrect

Contingency correct incorrect

Contradiction correct incorrect

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. Construct a complete truth table for the following propositions. Then, using the truth table, classify each proposition as a tautology, a contingency, or a contradiction. Justify your answers by appeal to the meanings of those terms.
E ≡ (E ⊃ E)

Tautology correct incorrect

Contingency correct incorrect

Contradiction correct incorrect

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. Construct a complete truth table for the following propositions. Then, using the truth table, classify each proposition as a tautology, a contingency, or a contradiction. Justify your answers by appeal to the meanings of those terms.
F ∨ (F ≡ F)

Tautology correct incorrect

Contingency correct incorrect

Contradiction correct incorrect

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. Construct a complete truth table for the following propositions. Then, using the truth table, classify each proposition as a tautology, a contingency, or a contradiction. Justify your answers by appeal to the meanings of those terms.
(C · D) ≡ (C ⊃ ~D)

Tautology correct incorrect

Contingency correct incorrect

Contradiction correct incorrect

* not completed

. Construct a complete truth table for the following propositions. Then, using the truth table, classify each proposition as a tautology, a contingency, or a contradiction. Justify your answers by appeal to the meanings of those terms.
(A ∨ B) ≡ (~B ⊃ A)

Tautology correct incorrect

Contingency correct incorrect

Contradiction correct incorrect

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. Construct a complete truth table for the following propositions. Then, using the truth table, classify each proposition as a tautology, a contingency, or a contradiction. Justify your answers by appeal to the meanings of those terms.
(E · ~F) ∨ (F · ~E)

Tautology correct incorrect

Contingency correct incorrect

Contradiction correct incorrect

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. Construct a complete truth table for the following propositions. Then, using the truth table, classify each proposition as a tautology, a contingency, or a contradiction. Justify your answers by appeal to the meanings of those terms.
(G ⊃ ~H) ∨ (H ⊃ ~G)

Tautology correct incorrect

Contingency correct incorrect

Contradiction correct incorrect

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. Construct a complete truth table for the following propositions. Then, using the truth table, classify each proposition as a tautology, a contingency, or a contradiction. Justify your answers by appeal to the meanings of those terms.
(I · J) ⊃ ~J

Tautology correct incorrect

Contingency correct incorrect

Contradiction correct incorrect

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. Construct a complete truth table for the following propositions. Then, using the truth table, classify each proposition as a tautology, a contingency, or a contradiction. Justify your answers by appeal to the meanings of those terms.
[(K ∨ L) ⊃ M] ⊃ (M ⊃ K)

Tautology correct incorrect

Contingency correct incorrect

Contradiction correct incorrect

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. Construct a complete truth table for the following propositions. Then, using the truth table, classify each proposition as a tautology, a contingency, or a contradiction. Justify your answers by appeal to the meanings of those terms.
[L ⊃ (M · N)] ⊃ (N ∨ ~L)

Tautology correct incorrect

Contingency correct incorrect

Contradiction correct incorrect

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. Construct a complete truth table for the following propositions. Then, using the truth table, classify each proposition as a tautology, a contingency, or a contradiction. Justify your answers by appeal to the meanings of those terms.
[P ≡ (Q · R)] ⊃ ~(Q ⊃ ~R)

Tautology correct incorrect

Contingency correct incorrect

Contradiction correct incorrect

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. Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.
A ⊃ ~B and B ⊃ A

Logically equivalent correct incorrect

Contradictory correct incorrect

Neither logically equivalent nor contradictory, but consistent correct incorrect

Inconsistent correct incorrect

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. Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.
~O ⊃ P and O ∨ P

Logically equivalent correct incorrect

Contradictory correct incorrect

Neither logically equivalent nor contradictory, but consistent correct incorrect

Inconsistent correct incorrect

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. Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.
C ⊃ (D ∨ C) and C · ~D

Logically equivalent correct incorrect

Contradictory correct incorrect

Neither logically equivalent nor contradictory, but consistent correct incorrect

Inconsistent correct incorrect

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. Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.
~[(G ⊃ H) ∨ ~H] and ~G ⊃ G

Logically equivalent correct incorrect

Contradictory correct incorrect

Neither logically equivalent nor contradictory, but consistent correct incorrect

Inconsistent correct incorrect

* not completed

. Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.
I ≡ ~H and ~(~I ≡ H)

Logically equivalent correct incorrect

Contradictory correct incorrect

Neither logically equivalent nor contradictory, but consistent correct incorrect

Inconsistent correct incorrect

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. Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.
E ⊃ (F · E) and ~E · F

Logically equivalent correct incorrect

Contradictory correct incorrect

Neither logically equivalent nor contradictory, but consistent correct incorrect

Inconsistent correct incorrect

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. Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.
(G ∨ ~H) ⊃ G and ~G ≡ (~H · G)

Logically equivalent correct incorrect

Contradictory correct incorrect

Neither logically equivalent nor contradictory, but consistent correct incorrect

Inconsistent correct incorrect

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. Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.
~(J ∨ K) · L and (L ⊃ J) · K

Logically equivalent correct incorrect

Contradictory correct incorrect

Neither logically equivalent nor contradictory, but consistent correct incorrect

Inconsistent correct incorrect

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. Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.
(~M ⊃ ~N) ∨ (O ≡ N) and (~M · N) · [(~O ∨ ~N) · (O ∨ N)]

Logically equivalent correct incorrect

Contradictory correct incorrect

Neither logically equivalent nor contradictory, but consistent correct incorrect

Inconsistent correct incorrect