From the original minor, “All B are C,” conversion by limitation gives “Some C are B”, assuming B has instances.
Use this as a new minor:
Some C are B.
All B are A.
Therefore some C are A.
B is now predicate of the minor and subject of the major, exactly the first figure. This reduction explains the first mood’s conclusion by means of a previously established valid figure.
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The Third Figure: Conditions and Six Productive Moods
From the original minor, “All B are C,” conversion by limitation gives “Some C are B”, assuming B has instances.
Use this as a new minor:
Some C are B.
All B are A.
Therefore some C are A.
B is now predicate of the minor and subject of the major, exactly the first figure. This reduction explains the first mood’s conclusion by means of a previously established valid figure.