• Lectures by Chapter
    • Chapter 1: The Art and Science of Sound Reasoning
    • Part 1: Finding Clarity
      • Chapter 2: Concepts and Terms
      • Chapter 3: Knowing What We’re Talking About
      • Chapter 4: The Arts of Division and Definition
    • Part 2: Expressing Truth
      • Chapter 5: Judgments and Propositions
      • Chapter 6: Opposition and Equivalence
    • Part 3: Expanding Knowledge
      • Chapter 7: The Categorical Syllogism
      • Chapter 8: Compound Syllogisms
      • Chapter 9: Advanced Deductive Arguments
      • Chapter 10: Inductive Reasoning
    • Part 4: Detecting Fallacies
      • Chapter 11: Informal Fallacies
  • About our text
  • About Mark Grannis

Logic Lectures

  • March 19, 2025

    Lecture 8.4: Conjunctive Syllogisms

    We conclude our consideration of compound syllogisms by looking at conjunctive syllogisms, in many ways the mirror image of disjunctive syllogisms.

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  • March 17, 2025

    Lecture 8.3: Disjunctive Syllogisms

    Either you understand disjunctive syllogisms, or you don’t. If you don’t then this lecture is for you.

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  • March 16, 2025

    Lecture 8.2: Conditional Syllogisms

    In this lecture, we learn about the first of our three compound syllogisms–also known sometimes as a “hypothetical” syllogism. The conditional syllogism comes in two varieties, “mixed” and “pure,” and we’ll learn about four different moods for each.

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  • March 11, 2025

    Lecture 8.1: Compound Propositions

    With this lecture, we begin to learn about compound syllogisms, which allow us much greater flexibility in the ways we analyze the world logically.

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  • February 24, 2025

    Lecture 7.3, Part 2: Qualitative Rules of Validity and Two Corollaries on Particularity

    Here’s the exciting conclusion of section 7.3, covering the final two rules of validity and two handy corollaries that make it easier (and faster) to recognize the validity (or invalidity) of syllogisms that rely on particular premises.

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  • February 15, 2025

    Lecture 7.3, Part 1: Terminological Rules of Validity for Categorical Syllogisms

    In this lecture, I tacitly acknowledge that it was insane for the author of our text, whoever he was, to put all five rules of validity into a single section of the text. We’ll take section 7.3 in two parts, and in this part I cover the first three rules of validity, which all deal

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