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Hypothetical syllogism is a valid form of reasoning in propositional logic that involves conditional statements. It typically follows the structure: 1. If \( P \), then \( Q \). (Conditional premise) 2. If \( Q \), then \( R \). (Conditional premise) 3. Therefore, if \( P \), then \( R \).

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  1. Rules of inference
  2. Formal systems
  3. Mathematical logic
  4. Fields of mathematics
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