The Logic Course Adventure

Welcome to the interactive logic textbook!

Logic is a tool that helps us solve problems. Scientists use logic to figure out what theory their data supports. Mathematicians use logic to prove things like the Pythagorean theorem. Children use logic to solve Sudoku puzzles and win chess games.

You can't learn logic without using it. That's one reason why this textbook is interactive. You will learn about logic by applying it.

All of problems in this book are for practice. They aren't worth points, and if you get them wrong, you get to try again. (Problem sets for your homework are not done in the textbook; your instructor will tell you where to complete those.)

Look for key concepts in the call-out boxes.

The point of letting you retry problems that you get wrong is so the harder you work, the more you will learn and the better you will do.

Let's give it a try.

Some chapters are built around a theme. In Chapters 1 and 2 you are a police detective trying to solve cases. The theme gives context to the material you are learning. Plus it makes learning more fun.

If you are logged in, there is a green "Mark Progress" button at the bottom of each section. They allow you to track your progress on the adventure.

If you ever get lost, you can use the table of contents on the left (or below, if you are using a smaller device). Now it's time to learn some logic!

The world is full of problems. Let's go solve some.

The Logic Course Adventure

Textbook Content

Chapters Status
1

1. Let the Adventure Begin

2

2. Weird Cases of Validity

3

3. Argument Heroics

4

4. Meet the Boolean Connectives

5

5. Features of Connectives

6

6. Semantics for BOOL: Truth Tables

7

7. Using BOOL to Study Reasoning

8

8. BOOLean Algebra

9

8.5. Logic Gates with BOOL

10

9. Proofs: Informal

11

10. Proofs: Formal

12

11. Proof by Cases

13

12. Reductio

14

15. Review for Ch. 1-14

15

16. PROP and Conditionals

16

17. Proofs with Conditionals

17

19. Metalogic

18

20. Welcome to FOL

19

21. Meet the Quantifiers

20

22. Semantics of FOL

21

23. Aristotelian Forms

22

24. FO Equivalences

23

25. FO Validities

24

26. FO Counterexamples

25

27. Multiple Quantifiers

26

28. Numerical Quantification

27

29. Proofs in FOL: 2 Easy Rules

28

30. Proofs in FOL: 2 Hard Rules