Hilbert's Hotel

What did the German mathematician David Hilbert devise in the 1920s?

• A prime number theory

• A new type of hotel

• A famous thought experiment

• An infinite bus

What is the key concept used to accommodate the infinite number of passengers from the infinite buses?

• Fractional numbers

• Negative numbers

• Real numbers

• Countably infinite numbers

What is the level of infinity mainly dealt with in the Infinite Hotel?

• Aleph-two

• Aleph-one

• Aleph-zero

• Aleph-infinity

What is the strategy used by the night manager to assign rooms to passengers from the infinite buses?

• Assigning rooms based on seat numbers

• Assigning rooms based on alphabetical order

• Assigning rooms based on prime numbers

• Assigning rooms based on ticket numbers

What type of rooms does the Real Number Infinite Hotel have?

• Only whole number rooms

• Negative number rooms

• Only positive number rooms

• Only even number rooms

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the name of the concept used to accommodate every passenger on every bus?

• Aleph-infinity

• Countably infinite numbers

• Prime number theory

• Unique room-assignment schemes

Tags

CCSS.2.NBT.A.1B

What is the level of infinity that the Real Number Infinite Hotel deals with?

• Aleph-infinity

• Aleph-zero

• Aleph-one

• Aleph-two

What is the main challenge faced by the night manager in accommodating the infinite buses?

• Finding enough rooms for the passengers

• Finding enough entertainment for the passengers

• Finding enough food for the passengers

• Finding enough staff for the passengers

What is the name of the concept used to describe the lowest level of infinity in the Infinite Hotel?

• Aleph-two

• Aleph-zero

• Aleph-infinity

• Aleph-one

What is the main reason the night manager's job is safe despite the challenges faced?

• His exceptional customer service

• His ability to work long hours

• His excellent math skills

• His bosses' lack of math knowledge

Tags

CCSS.RI. 9-10.2

CCSS.RI.11-12.2

CCSS.RI.8.2

CCSS.RL.11-12.2

CCSS.RL.9-10.2