Infinite Chess

Infinite Chess

Assessment

Interactive Video

•

Mathematics, Life Skills

•

11th Grade - University

•

Practice Problem

•

Medium

Created by

Wayground Content

Used 1+ times

FREE Resource

The video explores infinite chess, comparing it to finite chess and discussing game theory concepts like Zermelo's theorem. It delves into infinite games, their determinacy, and strategies in infinite chess, including the concept of a doomsday clock. Advanced mathematical concepts are introduced, and viewer comments are addressed.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key difference between infinite chess and finite chess?

Infinite chess involves more than two players.

Infinite chess uses dice for randomness.

Infinite chess has hidden information like poker.

Infinite chess has no bounds on movement.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the pile game, what is a winning strategy for Alice if they start with 5 marbles?

Take 3 marbles first.

Take 2 marbles first.

Take 1 marble first.

Take all marbles first.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does Zermelo's theorem imply about finite games?

They are determined.

They are always random.

They always end in a tie.

They can have infinite moves.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main question regarding infinite games?

Are they more fun than finite games?

Do they have a winning strategy?

Can they be played with dice?

Are they easier to analyze?

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In infinite chess, what does the doomsday clock represent?

The number of players in the game.

The maximum number of moves before a win.

The number of pieces on the board.

The time limit for each move.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an infinite ordinal in the context of infinite chess?

A type of chess piece.

A rule for moving pieces.

A measure of infinite game length.

A strategy for winning.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the doomsday clock in infinite chess be infinite?

By having infinite players.

By having no limit on moves.

By having hidden information.

By using random dice rolls.

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