| 1. | Nineteen ninety-nine : The year of living vacuously?
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| 2. | Dissolute bluebottles hum vacuously in the fruity air.
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| 3. | Asymmetry is not the same thing as " not vacuously ) both symmetric and asymmetric.
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| 4. | It is vacuously true precisely because there are no values of that could serve as counterexamples.
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| 5. | Outside of mathematics, statements which can be characterized informally as vacuously true can be misleading.
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| 6. | The main antecedent is vacuously true.
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| 7. | The women titter vacuously at the beauty parlor and luncheon meetings of " the League ."
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| 8. | Axiom ( 3 ) becomes vacuously true under ( M3 ) and is therefore not needed in this context.
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| 9. | Therefore, Tur�n's result is vacuously true and cannot be used to help prove the Riemann hypothesis.
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| 10. | This requirement that the non-vacuously applicable rules must apply is the appearance checking aspect of such a grammar.
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