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Teaching Formal Logic

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  1. Lessons

    Lesson 1: Teaching Logic Restfully with Rigor (Preview Content)
    4 Topics
    |
    1 Quiz
  2. Lesson 2: Logic as a Core Discipline (Preview Content)
    3 Topics
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    1 Quiz
  3. Discussion: Logic in One's Life and Study (Preview Content)
    2 Topics
  4. Lesson 3: Formal Logic vs. Informal Logic
    4 Topics
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    1 Quiz
  5. Lesson 4: The Classical Origin and Medieval Recovery of Logic
    4 Topics
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    1 Quiz
  6. Lesson 5: Formal Logic and the Three Acts of the Mind (Preview Content)
    4 Topics
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    1 Quiz
  7. Lesson 6: Translating Arguments into Categorical Form
    4 Topics
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    1 Quiz
  8. Lesson 7: Relationships of Opposition
    4 Topics
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    1 Quiz
  9. Lesson 8: Relationships of Equivalence
    4 Topics
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    1 Quiz
  10. Lesson 9: Categorical Syllogisms
    3 Topics
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    1 Quiz
  11. Lesson 10: Determining Validity of Syllogisms
    3 Topics
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    1 Quiz
  12. Lesson 11: Terms and Definitions
    3 Topics
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    1 Quiz
  13. Lesson 12: Developing the End-of-Year Project
    4 Topics
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    1 Quiz
  14. Discovery of Deduction Sample Lessons
    Lesson 13: Chapter 5.2 The Square of Opposition
    2 Topics
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    1 Quiz
  15. Lesson 14: Chapter 6.5 The Relationship of Contraposition
    2 Topics
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    1 Quiz
  16. End of Course Test
    End of Course Test: Teaching Formal Logic
    1 Quiz
Lesson Progress
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I. Introduction to the Square of Opposition
(1) How does learning the square of opposition help a student to understand the implications of a priori truths?
(2) How are inference and implications used to help logically evaluate and analyze propositions?
(3) Why is this learning tool called the square of opposition?
(4) How can the use of grid-based, deductive logic puzzles help illustrate how to navigate through determining AEIO propositional truth and falsity?

II. Contradiction
Describe the colloquial misuses of the term “contradiction,” and then describe how you intend to explain logical contradiction.

III. Contrariety and Subcontrariety
Compare/contrast the definitions “contrary” and “contrariety.” Be prepared to explain the subtle differences between the two. These are commonly confused terms.

IV. Subimplication and Superimplication
(1) Explain why all blueberries are berries, but not all berries are blueberries.
(2) Why does the truth of universals flow to the corresponding particulars, but the truth of particulars does not flow to the corresponding universals?
(3) Explain why the falsity of particulars flows to the corresponding universals, but the falsity of universals does not flow to the corresponding particulars.