| 1. | :As propositions the two statements are logically equivalent.
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| 2. | Consistency is achieved by including declared " "'logically equivalent alternatives.
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| 3. | Categorical statements are logically equivalent to their obverse.
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| 4. | :They are not logically equivalent; 1 implies 2 but not vice versa.
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| 5. | Contrapositive arguments rightly utilize the logically equivalent.
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| 6. | Within the context of a logical proof, logically equivalent expressions may replace each other.
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| 7. | Logically equivalent statements have the same truth value in all models in which they have interpretations.
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| 8. | In intuitionistic logic, it is not true that every formula is logically equivalent to a prenex formula.
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| 9. | To prove that contrapositives are logically equivalent, we need to understand when material implication is true or false.
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| 10. | Equivalency frames offer " different, but logically equivalent phrases, " which cause individuals to alter their preferences.
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