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Logic for Kids - Book 2

by Ryan Semerau

Ages 7-12LogicTrivium

The second book in the Logic for Kids series. Covers the categorical syllogism in full - figures, moods, validity rules, and the traditional Latin names. Also covers hypothetical syllogisms, modus ponens, modus tollens, disjunctive syllogisms, enthymemes, sorites, and translating real arguments into syllogistic form.

16 chapters · 76 lessons · first 6 free

IntroductionFree

1 · The Categorical Syllogism

1.1 · The Basic StructureFree
1.2 · The Three TermsFree
1.3 · Major and Minor PremisesFree
1.4 · Why Syllogisms MatterFree
Chapter 1 TestFree

2 · The Four Figures

2.1 · What Determines the FigureFree
2.2 · Figure 1: M-P, S-M🔒
2.3 · Figure 2: P-M, S-M🔒
2.4 · Figures 3 and 4🔒
Chapter 2 Test🔒

3 · Mood

3.1 · What Is Mood🔒
3.2 · Naming Moods🔒
3.3 · Mood + Figure = Complete Form🔒
3.4 · The Traditional Names🔒
Chapter 3 Test🔒

4 · Rules of Validity

4.1 · Why Rules🔒
4.2 · Distribution Rules🔒
4.3 · Quality Rules🔒
4.4 · Quantity Rules🔒
Chapter 4 Test🔒

5 · The Valid Moods of Figure 1

5.1 · Barbara (AAA-1)🔒
5.2 · Celarent (EAE-1)🔒
5.3 · Darii (AII-1)🔒
5.4 · Ferio (EIO-1)🔒
Chapter 5 Test🔒

6 · The Valid Moods of Figures 2, 3, and 4

6.1 · Valid Moods of Figure 2🔒
6.2 · Valid Moods of Figure 3🔒
6.3 · Valid Moods of Figure 4🔒
6.4 · The Complete List🔒
Chapter 6 Test🔒

7 · Testing Syllogisms for Validity

7.1 · The Testing Procedure🔒
7.2 · Testing a Valid Syllogism🔒
7.3 · Testing an Invalid Syllogism🔒
7.4 · Practice: Valid or Invalid🔒
Chapter 7 Test🔒

8 · Reducing to the First Figure

8.1 · The Primacy of Figure 1🔒
8.2 · The Hint in the Names🔒
8.3 · Reducing Cesare to Celarent🔒
8.4 · Why Reduction Matters🔒
Chapter 8 Test🔒

9 · Modus Ponens and Modus Tollens

9.1 · The Hypothetical Syllogism🔒
9.2 · Modus Ponens: Affirming the Antecedent🔒
9.3 · Modus Tollens: Denying the Consequent🔒
9.4 · The Power of These Two Forms🔒
Chapter 9 Test🔒

10 · Disjunctive and Conditional Syllogisms

10.1 · The Disjunctive Syllogism🔒
10.2 · The Pure Hypothetical Syllogism🔒
10.3 · The Constructive Dilemma🔒
10.4 · The Destructive Dilemma🔒
Chapter 10 Test🔒

11 · Enthymemes

11.1 · What Is an Enthymeme🔒
11.2 · Finding the Missing Premise🔒
11.3 · First, Second, and Third Order🔒
11.4 · Why Enthymemes Matter🔒
Chapter 11 Test🔒

12 · Sorites and Polysyllogisms

12.1 · What Is a Polysyllogism🔒
12.2 · The Sorites🔒
12.3 · Testing a Sorites🔒
12.4 · The Epicheirema🔒
Chapter 12 Test🔒

13 · Translating Real Arguments into Syllogistic Form

13.1 · Arguments Don't Come in Standard Form🔒
13.2 · Indicator Words🔒
13.3 · Extracting the Syllogism🔒
13.4 · Practice: Real Arguments🔒
Chapter 13 Test🔒

14 · The Limits of Deductive Logic

14.1 · Valid but Unsound🔒
14.2 · Deduction Doesn't Create New Information🔒
14.3 · Where Do Premises Come From🔒
14.4 · Looking Ahead🔒
Chapter 14 Test🔒

15 · The Deductive Toolkit

15.1 · What You've Built🔒
15.2 · The System Is Unified🔒
15.3 · Recognizing Invalid Arguments🔒
15.4 · From Form to Content🔒
Chapter 15 Test🔒

What you'll learn

✓The structure of the categorical syllogism
✓The four figures and how the middle term works
✓Mood and the traditional Latin names for valid syllogisms
✓The rules of validity for categorical syllogisms
✓All 15 valid moods across the four figures
✓How to test any syllogism step by step
✓Modus ponens and modus tollens
✓Disjunctive and conditional syllogisms
✓What enthymemes are and how to find the missing premise
✓How to translate real-world arguments into syllogistic form

How to use this workbook

15 chapters, designed for one chapter per week (4 short lessons per week plus a chapter test). Each lesson takes about 15-20 minutes - read the lesson, talk it over with the AI tutor, then answer a few short questions in your own words.

Prerequisites

Logic for Kids Book 1 (required). Grammar for Kids Books 1-3 strongly recommended.