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    Categorical Propositions: Distribution (Part IV)

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    Though the logical concept of distribution can apply to both A- and E-propositions, it cannot apply to I-propositions. What about O-propositions, however?

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    As in the three prior posts in this series, we presented the concept of distribution and measured its applicability to certain proposition types. Logically, we deduced that distribution (or, the fact that a quantifier can apply to all members of a certain class) can indeed always apply in cases of universal positive ("A") and universal negative ("E") statements. However, distribution *cannot* apply to particular positive ("I") statements. That leaves just one type of traditional proposition: the O-proposition, or the particular negative ...

    Solution Summary

    As in the three prior posts in this series, we presented the concept of distribution and measured its applicability to certain proposition types. Logically, we deduced that distribution (or, the fact that a quantifier can apply to all members of a certain class) can indeed always apply in cases of universal positive ("A") and universal negative ("E") statements. However, distribution *cannot* apply to particular positive ("I") statements. That leaves just one type of traditional proposition: the O-proposition, or the particular negative statement. Hence, we should discuss that to see just how well distribution applies.

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