Logic

Stretch your analytic muscles with codebreaking, truth-tellers, liars, logical robots, and more.

Level

1

Order Logic

Practice Order Logic

Neighbors

Practice Neighbors

Heights

Practice Heights

Comparisons

Practice Comparisons

Level

2

Harder Comparisons

Practice Harder Comparisons

Value Logic

Practice Value Logic

Negation

Practice Negation

Between

Practice Between

Level

3

Shuffling

Practice Shuffling

Swapping

Practice Swapping

Rearrangements

Practice Rearrangements

Either/Or

Practice Either/Or

Level

4

At Least

Practice At Least

At Most

Practice At Most

Sums

Practice Sums

Differences

Practice Differences

Level

5

Assigning Sizes

Practice Assigning Sizes

Even and Odd

Practice Even and Odd

Bigger and Smaller

Practice Bigger and Smaller

Multiple Properties

Practice Multiple Properties

Level

6

More

Practice More

Fewer

Practice Fewer

Not and No

Practice Not and No

Level

7

Using Information

Practice Using Information

Truth-telling

Practice Truth-telling

Lying

Practice Lying

Truth Seeking

Practice Truth Seeking

False Statements

Practice False Statements

Level

8

Robots Ordering Dessert

Practice Robots Ordering Dessert

Dice Rolls

Practice Dice Rolls

Opening Safes

Practice Opening Safes

Opening Complex Safes

Practice Opening Complex Safes

Level

9

Shuffles

Practice Shuffles

Possible Arrangements

Practice Possible Arrangements

Worst Cases

Practice Worst Cases

Missing Information

Practice Missing Information

Level

10

Androids

Practice Androids

Extrapolate

Practice Extrapolate

Unknown Answers

Practice Unknown Answers

Jokers

Practice Jokers

Rebels

Practice Rebels

Level

11

Guessing Cards

Practice Guessing Cards

Hat Puzzles

Practice Hat Puzzles


Course description

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! By the end of this course, you'll be able to spot logical fallacies, navigate some strategic game theory, understand machine logic, and use the symbolic languages of logic to understand fun riddles.


Topics covered

  • Binary
  • Truth Tables
  • Logic Gates
  • Venn and Euler Diagrams
  • Propositional Logic
  • The Square of Opposition
  • De Morgan's Laws
  • Inclusive and Exclusive OR
  • Combinatorics
  • Combinatorial Game Algorithms

Prerequisites and next steps

You don’t need any previous logic experience! This course is enjoyed by anyone excited about actively learning through riddles, puzzles, and thought experiments!

Up next

Logical Reasoning

Logic II

Exercise your rationality and learn the mathematical dialects of logic.

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