The document discusses different types of logical relationships between categorical propositions: 1) Contraries are propositions that cannot both be true but could both be false, with one being necessarily false if the other is true. 2) Subcontraries are propositions that cannot both be false but could both be true, with one being necessarily true if the other is false. 3) Contradictories are propositions that cannot both be true or both be false. It also discusses inferences that can be drawn between categorical propositions, including subalternation, obversion, conversion, and contraposition.

1. Second Thoughts, 4 th ed. Wanda Teays McGraw-Hill Higher Ed. © 2010. Wanda Teays. All rights reserved. Chapter Ten Handling Claims, Drawing Inferences