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traditional interpretation

The older reading on which every categorical statement assumes its subject class has members.

The traditional (Aristotelian) interpretation assumes that the subject class of every categorical statement has members. That assumption is what makes contraries, subcontraries, and subalternation hold, and it is why the traditional square breaks down for empty classes.

Examples

  • Traditionally, "All unicorns are white" would imply "Some unicorns are white."

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