Statements: All astronomers are scientists. Some scientists are shopkeepers. Conclusions: I. All astronomers are shopkeepers. II. Some shopkeepers are astronomers. III. Some shopkeepers are scientists. IV. All scientists are astronomers.

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First Premise is Universal Affirmative (A–type).
Second Premise is Particular Affirmative (I–type).
All astronomers are scientists. ↔ Some scientists are shopkeepers.
A + I ⇒ No Conclusion
Conclusion III is the Converse of the second Premise.

Statements: All astronomers are scientists. Some scientists are shopkeepers. Conclusions: I. All astronomers are shopkeepers. II. Some shopkeepers are astronomers. III. Some shopkeepers are scientists. IV. All scientists are astronomers.

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