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Logic

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

Our logic course starts with a love of puzzles and builds up to some truly mind-bending challenges. It covers liar and truth-teller riddles, logical fallacies, machine logic, and even some strategic game theory!

By the end of this course, you’ll be able to solve problems involving AND, NOT, and XOR logic gates, and use the symbolic languages of logic to understand fun riddles.

Interactive
quizzes

37

Concepts and
exercises

290+
  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
      Brilliant Premium

      Riddles of Order

      What order do these racers finish in?

    2. Included with
      Brilliant Premium

      Crafty Counting

      Learn strategies for counting that go far beyond just counting.

    3. Included with
      Brilliant Premium

      Mystery Containers

      What's in each of these mystery boxes?

    4. Included with
      Brilliant Premium

      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
      Brilliant Premium

      Werewolves

      Who's a werewolf?

    2. Included with
      Brilliant Premium

      Logical Language

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

    3. Included with
      Brilliant Premium

      If A, then B.

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

    4. Included with
      Brilliant Premium

      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
      Brilliant Premium

      Perfect Information

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

    2. Included with
      Brilliant Premium

      Hat Colors

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

    3. Included with
      Brilliant Premium

      Hat Colors with More People

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

    4. Included with
      Brilliant Premium

      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
      Brilliant Premium

      Poisoned Chocolate

      Don't take the last chocolate!

    2. Included with
      Brilliant Premium

      Luk Tsut K'i

      Find the complete solution to a classic game.

    3. Included with
      Brilliant Premium

      Puppies and Kittens

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

    4. Included with
      Brilliant Premium

      Poisoned Chocolate II

      What happens when the chocolate comes in rectangles?

  6. 6

    Logic Machines

    Turn logic into arithmetic machines.

    1. Included with
      Brilliant Premium

      Truth Tables

      Diagram out the meanings of each logical operator.

    2. Included with
      Brilliant Premium

      Basic Logic Gates

      How do AND, OR, and NOT gates work?

    3. Included with
      Brilliant Premium

      Combinations

      Combine gates together to make complex circuits.

    4. Included with
      Brilliant Premium

      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
      Brilliant Premium

      Indirection

      Can you trick a liar into telling you the truth?

    2. Included with
      Brilliant Premium

      Knights and Knaves En Masse

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

    3. Included with
      Brilliant Premium

      Jokers

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

    4. Included with
      Brilliant Premium

      Other Variations

      Twist your mind around these unusual variants.