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# Logic

## Stretch your analytic muscles with knights, knaves, logic gates, and more!

The beginning of our introductory math journey is Logic. Through these challenging problem solving exercises, you'll construct the critical thinking skills that are the basis for mathematical reasoning.

You'll use limited information to make predictions – eliminating the impossible to uncover the truth. This course builds up to some truly mind-bending challenges!

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1. 1

### Introduction

Put your logic to the test with these warmups!

1. #### Warmup Puzzles

Get started with some logic warmups.

2. #### Truth-Seeking

Who or what is telling the truth?

3. #### Strategic Deductions

Stretch the information you're given as far as it can go!

2. 2

### The Rational Detective

Eliminate the impossible and uncover the truth!

1. Included with
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#### Riddles of Order

What order do these racers finish in?

2. Included with
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#### Crafty Counting

Learn strategies for counting that go far beyond just counting.

3. Included with
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#### Mystery Containers

What's in each of these mystery boxes?

4. Included with
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#### Futoshiki

Arrange the numbers to match the inequalities.

3. 3

### Puzzles and Riddles

Even trickier puzzles and the tools you need to solve them.

1. Included with
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#### Werewolves

Who's a werewolf?

2. Included with
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#### Logical Language

Explore the logical use of the words "and", "or", and "not".

3. Included with
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#### If A, then B.

If you do this quiz, you will learn about sentences like this one.

4. Included with
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#### Elimination Grids

Solve classic logic elimination puzzles.

4. 4

### Multi-Level Thinking

If you know that I know that you know... what then?

1. Included with
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#### Perfect Information

If everyone follows the same logic, can you find out what they know?

2. Included with
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#### Hat Colors

Can you figure out who can figure out the color of their hat?

3. Included with
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#### Hat Colors with More People

What happens to hat puzzles when there are more hats and more people?

4. Included with
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#### Red-Eyed Dragons

Exactly how much can you learn from no one knowing anything?

5. 5

### Competitive Games

What will your opponent do? Logic it out!

1. Included with
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#### Poisoned Chocolate

Don't take the last chocolate!

2. Included with
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#### Luk Tsut K'i

Find the complete solution to a classic game.

3. Included with
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#### Puppies and Kittens

Solve a fuzzier, livelier variant of the poisoned chocolate game.

4. Included with
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#### Poisoned Chocolate II

What happens when the chocolate comes in rectangles?

6. 6

### Logic Machines

Turn logic into arithmetic machines.

1. Included with
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#### Truth Tables

Diagram out the meanings of each logical operator.

2. Included with
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#### Basic Logic Gates

How do AND, OR, and NOT gates work?

3. Included with
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#### Combinations

Combine gates together to make complex circuits.

4. Included with
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#### Fredkin Gates

Take a peek at a gate used in biological and quantum computing.

7. 7

### Advanced Knights and Knaves

Uncover liars on this island of logic!

1. Included with
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#### Indirection

Can you trick a liar into telling you the truth?

2. Included with
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#### Knights and Knaves En Masse

What happens when you try to do logic at a big island party?

3. Included with
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#### Jokers

Solve tricky variants of knights and knaves puzzles where some residents can behave like either.

4. Included with
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#### Other Variations

Twist your mind around these unusual variants.