HOUSE_OVERSIGHT_015875.jpg
1.11 MB
Extraction Summary
3
People
2
Organizations
2
Locations
1
Events
1
Relationships
5
Quotes
Document Information
Type:
Book excerpt / investigative evidence
File Size:
1.11 MB
Summary
This document appears to be a scanned page (p. 185) from a book or educational text discussing the mathematical concept of infinity, specifically the 'Hilbert's Hotel' paradox and the 'zigzag method' of mapping dimensions. It includes a cartoon illustration and text explaining set theory. The document is marked with the Bates stamp 'HOUSE_OVERSIGHT_015875', indicating it was included as part of a document production for a House Oversight Committee investigation, presumably related to the user's specified context of the Epstein investigation.
People (3)
| Name | Role | Context |
|---|---|---|
| The Manager | Hotel Manager (Fictional) |
Character in a mathematical thought experiment about Hilbert's Hotel
|
| Tour Guide | Character (Fictional) |
Character interacting with the manager in the thought experiment
|
| Student | Hypothetical |
Described as 'clever or annoying' asking questions about infinity
|
Organizations (2)
| Name | Type | Context |
|---|---|---|
| House Oversight Committee |
Inferred from the Bates stamp 'HOUSE_OVERSIGHT_015875'
|
|
| Hilbert's Hotel |
Setting for the mathematical paradox discussed in the text
|
Timeline (1 events)
N/A
Arrival of infinite buses at Hilbert's Hotel (Theoretical)
Hilbert's Hotel
Infinite guests
Manager
Locations (2)
| Location | Context |
|---|---|
|
Theoretical hotel with infinite rooms
|
|
|
Location where fictional buses are lining up
|
Relationships (1)
Dialogue regarding the fitting of guests into the hotel.
Key Quotes (5)
"What happens if an infinite number of infinitely large buses arrive at the hotel. Can they all fit in?"Source
HOUSE_OVERSIGHT_015875.jpg
Quote #1
"The mathematical question is “does infinity times infinity, equal infinity?”"Source
HOUSE_OVERSIGHT_015875.jpg
Quote #2
"Is Anything Larger than Infinity?"Source
HOUSE_OVERSIGHT_015875.jpg
Quote #3
"“No,” says the manager. “I did every bus.”"Source
HOUSE_OVERSIGHT_015875.jpg
Quote #4
"Infinity Plus Infinity Equals Infinity"Source
HOUSE_OVERSIGHT_015875.jpg
Quote #5
Full Extracted Text
Complete text extracted from the document (1,492 characters)
∞ 185
Now, a very clever or annoying student asks, “What happens if an infinite number of infinitely large buses arrive at the hotel. Can they all fit in?” The mathematical question is “does infinity times infinity, equal infinity?” Let us ask all the guests to get out of the bus and line up in the parking lot in neat rows. Passengers from bus one in line 1, those from bus 2 in line 2, and so on. All the guests now form a two-dimensional grid. We already know how to map a two-dimensional grid to one-dimension using the zigzag method. We can fit them all in the hotel and we are done!
Is Anything Larger than Infinity?
Is there any bus or combination of buses that would cause the manager of Hilbert’s Hotel a problem.
The answer is yes and it involves a subtle change to the contents of the bus.
An infinite number of buses turn up but this time the buses are filled with men and women. The hotel manager is asked to put everyone in a room and once again he obliges using the zigzag method.
At the end of the process the tour guide comes to him. “I think you have missed some people,” he says. “Since I am just one person, I know you can fit me in. But, I have a whole bus in the car park you completely missed.”
“No,” says the manager. “I did every bus.”
Is there any bus or combination of buses that would cause the manager of Hilbert’s Hotel a problem.
The answer is yes and it involves a subtle change to the contents of the bus.
An infinite number of buses turn up but this time the buses are filled with men and women. The hotel manager is asked to put everyone in a room and once again he obliges using the zigzag method.
At the end of the process the tour guide comes to him. “I think you have missed some people,” he says. “Since I am just one person, I know you can fit me in. But, I have a whole bus in the car park you completely missed.”
“No,” says the manager. “I did every bus.”
[Image: Cartoon illustration of four doors numbered 1, 2, 3, 4. Above is the equation ∞ + ∞ = ∞? A character stands by door 1. Door 4 has a 'DO NOT DISTURB' sign.]
Infinity Plus Infinity Equals Infinity
HOUSE_OVERSIGHT_015875
Discussion 0
No comments yet
Be the first to share your thoughts on this epstein document