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# Logic

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

# Warmup Puzzles

Kevin, Joseph, and Nicholas are 3 brothers. If the following statements are all true, which of them is the youngest?

• Kevin is the oldest.
• Nicholas is not the oldest.
• Joseph is not the youngest.

Merlin realizes that all Alakazams are Open Sesame, and some Hocus Pocus are Alakazams.

Is it true that some Hocus Pocus are Open Sesame?

Note: There is at least one of each item.

Our exploration of logic starts with a love of puzzles, and then builds up to explore strategy games, truth tellers and liars riddles, common logical fallacies, and more!

Working through these problems will strengthen your skill at organizing and formalizing intuitive reasoning.

The women above are named Kaylee and Inara. If we know that at least one of them lied, what is the color of the shirt that Inara is wearing?

5 brothers compare their heights and find that

• Alex is taller than Brian but shorter than Charlie;
• Daniel is taller than Edward but shorter than Alex.

Who is the tallest?

1. There is exactly 1 false statement in this list.
2. There are exactly 2 false statements in this list.
3. There are exactly 3 false statements in this list.

Exactly how many false statements are there in the list above?

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