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Modern Square of Opposition

Use the Modern Square of opposition to determine whether the following inferences are valid. (To do this, state the type of proposition each is and show how the one does or doesn't imply the other.)

a. No country music singers are musicians who despise twang.
Therefore, some country music singers are not musicians who despise twang.
Valid or invalid?

b. It is false that all food fights are occasions for flinging pie.
Therefore, some food fights are not occasions for flinging pie.
Valid or invalid?

c. It is false that no bungie jumpers are persons with a death wish.
Therefore, some bungie jumpers not persons with a death wish.
Valid or invalid?

d. Some logic instructors are lacto-ovo vegetarians.
Therefore, it is false that no logic instructors are lacto-ovo vegetarians.
Valid or invalid?

Solution Preview

Use the Modern Square of opposition to determine whether the following inferences are valid. (To do this, state the type of proposition each is and show how the one does or doesn't imply the other.)
<br><br><br>
<br><br><br>a.
<br><br><br>
<br><br><br>No country music singers are musicians who despise twang.
<br><br><br>
<br><br><br>This is a universal negative proposition.
<br><br><br>
<br><br><br>Conclusion:
<br><br><br>Some country music singers are not musicians who despise twang.
<br><br><br>
<br><br><br>This is a particular negative proposition.
<br><br><br>
<br><br><br>Inference is invalid; propositions are not ...

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