Included with subscription

A subscription unlocks every workbook. Preview chapters are always free.

Subscribe for full access Sign in to start preview

First 6 lessons free. Adds to your library so you can pick up later.

Logic for Kids - Book 1

by Ryan Semerau

Ages 7-12LogicTrivium

The first book in the Logic for Kids series. Covers the foundation of correct reasoning - propositions, distribution, the square of opposition, conversion, obversion, and contraposition. Teaches students to identify, analyze, and draw inferences from categorical propositions using the tools of Aristotelian logic.

16 chapters · 76 lessons · first 6 free

IntroductionFree

1 · Foundations

1.1 · What Is LogicFree
1.2 · Truth vs ValidityFree
1.3 · Why Logic MattersFree
1.4 · The Three Acts of the MindFree
Chapter 1 TestFree

2 · Terms in Logic

2.1 · Terms as Building Blocks of ReasoningFree
2.2 · Categorematic and Syncategorematic Terms🔒
2.3 · Distribution: A Key Concept🔒
2.4 · Why Distribution Matters🔒
Chapter 2 Test🔒

3 · The Four Categorical Propositions

3.1 · Standard Form🔒
3.2 · The A Proposition: Universal Affirmative🔒
3.3 · The E Proposition: Universal Negative🔒
3.4 · The I and O Propositions🔒
Chapter 3 Test🔒

4 · Distribution in Detail

4.1 · The Distribution Pattern🔒
4.2 · Why A Distributes Only the Subject🔒
4.3 · Why E Distributes Both🔒
4.4 · Why O Distributes Only the Predicate🔒
Chapter 4 Test🔒

5 · The Square of Opposition

5.1 · What Is the Square of Opposition🔒
5.2 · Contradictories: A vs O, E vs I🔒
5.3 · Contraries: A vs E🔒
5.4 · Subcontraries and Subalternation🔒
Chapter 5 Test🔒

6 · Using the Square of Opposition

6.1 · Drawing Inferences🔒
6.2 · Starting from Each Corner🔒
6.3 · Practice with Real Propositions🔒
6.4 · Existential Import🔒
Chapter 6 Test🔒

7 · Conversion

7.1 · What Is Conversion🔒
7.2 · Simple Conversion: E and I🔒
7.3 · Conversion Per Accidens: A🔒
7.4 · O Does Not Convert🔒
Chapter 7 Test🔒

8 · Obversion

8.1 · What Is Obversion🔒
8.2 · The Complement🔒
8.3 · Obversion of All Four Types🔒
8.4 · Practice with Real Propositions🔒
Chapter 8 Test🔒

9 · Contraposition

9.1 · What Is Contraposition🔒
9.2 · Contraposition of A and O🔒
9.3 · E and I Do Not Contrapose🔒
9.4 · The Full Picture🔒
Chapter 9 Test🔒

10 · Combining Immediate Inferences

10.1 · Chaining Inferences Together🔒
10.2 · All the Equivalences for A🔒
10.3 · All the Equivalences for E🔒
10.4 · Practice: Deriving Everything You Can🔒
Chapter 10 Test🔒

11 · Euler Diagrams

11.1 · What Are Euler Diagrams🔒
11.2 · Diagramming Each Proposition Type🔒
11.3 · Using Diagrams to Test Inferences🔒
11.4 · Limits of Diagrams🔒
Chapter 11 Test🔒

12 · Propositions in Ordinary Language

12.1 · Everyday Language Is Messy🔒
12.2 · Hidden Quantifiers🔒
12.3 · "Only" and "None But"🔒
12.4 · Exclusive, Exceptive, and Other Tricky Forms🔒
Chapter 12 Test🔒

13 · Logical Relationships Between Propositions

13.1 · Equivalence🔒
13.2 · Consistency and Inconsistency🔒
13.3 · Independence🔒
13.4 · Testing Relationships🔒
Chapter 13 Test🔒

14 · Complex Propositions in Logic

14.1 · Compound Propositions Revisited🔒
14.2 · The Conditional Proposition🔒
14.3 · Negating Compound Propositions🔒
14.4 · Building Toward the Syllogism🔒
Chapter 14 Test🔒

15 · Review and Preparation

15.1 · The Toolkit So Far🔒
15.2 · What You Can Do Now🔒
15.3 · From One Proposition to Two: The Syllogism🔒
15.4 · The Importance of What You Have Learned🔒
Chapter 15 Test🔒

What you'll learn

✓What logic is and how it builds on Grammar
✓The difference between truth and validity
✓The three acts of the mind
✓Categorematic and syncategorematic terms
✓What distribution is and why it matters
✓The four categorical propositions (A, E, I, O)
✓The square of opposition and all its relationships
✓Conversion, obversion, and contraposition
✓How to chain immediate inferences together
✓How to translate ordinary language into standard logical 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

Grammar for Kids Books 1-3 strongly recommended. Students should understand what terms, propositions, subjects, predicates, and the A/E/I/O proposition types are.