Outsmarting the Troll: Logic and Paradoxes

Outsmarting the Troll: Logic and Paradoxes

Assessment

Interactive Video

Mathematics, Philosophy, Fun

5th - 8th Grade

Hard

Created by

Sophia Harris

FREE Resource

In a fantastical world called Paradoxica, you and your brother encounter a troll capturing creatures. The troll offers a challenge: say something true to free the creatures or something false to free your brother. However, if you say something paradoxical, the troll will eat them all. Using coercive logic, you craft a statement that forces the troll to release both your brother and the creatures. This logic puzzle, inspired by Raymond Smullyan, demonstrates how a carefully crafted statement can resolve a seemingly impossible situation.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What realm do you and your brother explore in the story?

Wonderland

Paradoxica

Narnia

Fantasia

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the troll use to capture the creatures?

A trapdoor

A magic spell

A large cage

An enormous net

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must you say to the troll to free the creatures?

A question

A true statement

A false statement

A paradoxical statement

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens if you say something paradoxical to the troll?

The troll will disappear

The troll will laugh

The troll will eat your brother and the creatures

The troll will release everyone

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Who is credited with inventing coercive logic?

Isaac Newton

Stephen Hawking

Raymond Smullyan

Albert Einstein

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key to outsmarting the troll?

Offering a trade

Crafting a statement based on desired outcome

Using a riddle

Running away

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What statement forces the troll to release your brother?

You are a troll

You will free my brother

You will eat the creatures

You will free the creatures

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