What Is Hilbert’s Hotel?

What Is Hilbert's Hotel?

In mathematics, there are some really interesting thought experiments that help illustrate important concepts. One of my favorites is called Hilbert’s Hotel. It’s a thought experiment that was developed by German mathematician David Hilbert in 1924 to illustrate the concept of infinity. Here’s how it works.

There’s Always Room For One More!

Imagine that you are the manager of a hotel with an infinite number of rooms. One day, a woman comes to you and asks if you have any vacancies. You tell her that you do, and she checks in to Room 1. Later that day, another woman comes to you and asks if you have any vacancies. You tell her that you do, and she checks in to Room 2. This process continues throughout the day, with each new guest checking into the next available room.

Now, imagine that at 11 PM a man comes to you and asks if you have any vacancies. You tell him that you do, but all of the rooms are full. The man says not to worry, he’ll just take Room 1. So, you move the woman who is currently in Room 1 into Room 2, the woman in Room 2 into Room 3, and so on. This process continues until everyone has been moved up one room and the man can check into Room 1.

What’s interesting about this thought experiment is that it illustrates the fact that even though the hotel is full, there are still an infinite number of rooms available. That’s because infinity is not a number; it’s an idea. And as such, it’s something that we can only wrap our minds around by using our imaginations.

How Can God Be Infinite?


While Hilbert’s Hotel may seem like a simple thought experiment, it actually illustrates a very important concept: the infinity of God. Just as there are an infinite number of rooms in Hilbert’s Hotel, so too is there an infinite number of things that God knows (omniscience), an infinite number of places He can be (omnipresence), and an infinite number of things He can do (omnipotence). The infinity of God is one of His most amazing attributes!

Discuss your thoughts on this post on our Facebook Group here.  

Catagories
Archives
Calendar
December 2023
S M T W T F S
 12
3456789
10111213141516
17181920212223
24252627282930
31  
RSS Listen to Our Latest Podcast Here
  • When Do We Go To Heaven? December 7, 2023
    In this episode of The Tent Making Christianity Podcast, the team answers the question "When do we go to heaven?". 
    Drew Covert, David Johansen, Paul Yearyean
  • Is God Just A Human Invention? December 1, 2023
    In this episode of The Tent Making Christianity QCQ Podcast, the team answers the question "Is God just a human invention?". 
    Drew Covert, David Johansen, Paul Yearyean
  • The 5th Anniversary Show November 28, 2023
    In this episode of The Tent Making Christianity Podcast, the team celebrates the 5th anniversary of Tent Making Christianity.  
    Drew Covert, David Johansen, Paul Yearyean
  • Do Christians Pick And Choose Which Rules To Follow? November 23, 2023
    In this episode of The Tent Making Christianity QCQ Podcast, the team answers the question "Do Christians pick and choose which rules to follow?". 
    Drew Covert, David Johansen, Paul Yearyean
  • The Holy Spirit Board November 21, 2023
    In this episode of The Tent Making Christianity Podcast, the team discusses The Holy Spirit Board.  
    Drew Covert, David Johansen, Paul Yearyean
  • Why Didn't God Make A Better World? November 9, 2023
    In this episode of The Tent Making Christianity QCQ Podcast, the team answers the question "Why didn't God make a better world?". 
    Drew Covert, David Johansen, Paul Yearyean
  • Trends In Horror Movies November 7, 2023
    In this episode of The Tent Making Christianity Podcast, the team discusses recent trends in horror movies. 
    Drew Covert, David Johansen, Paul Yearyean
  • Is It More Likely That All Religions Are False? November 2, 2023
    In this episode of The Tent Making Christianity Podcast, the team answers the question "Is it more likely that all religions are false?".   
    Drew Covert, David Johansen, Paul Yearyean
  • Christian Do's And Don'ts For Halloween October 31, 2023
    In this episode of The Tent Making Christianity Podcast, the team discusses Christian "Do's and don'ts" for Halloween. 
    Drew Covert, David Johansen, Paul Yearyean
  • Does The Bible Promote Cannibalism? October 12, 2023
    In this episode of The Tent Making Christianity QCQ Podcast, the team answers the question "Does the Bible promote cannibalism?". 
    Drew Covert, David Johansen, Paul Yearyean