← Tests

Truth Tables & Syllogisms IV — Rules of Inference

Difficulty 4 out of 5 · 12 questions · about 18 minutes

Learn how to solve this category

Mode

  • Practice: See the correct answer and a full explanation right after each question.
  • Exam: No feedback during the test — see your full results at the end.

Start test

About this test

Derive new conclusions from true premises by naming and chaining the classical Rules of Implication — Modus Ponens, Modus Tollens, Hypothetical and Disjunctive Syllogism, Constructive Dilemma, Simplification, and Addition. A genuinely different skill from II's Rules of Replacement (which substitute equivalent expressions): these rules derive brand-new statements toward a target conclusion, the other foundational half of formal natural deduction taught in every introductory logic course.

Other Truth Tables & Syllogisms tests

Guides where this format appears