HOUSE_OVERSIGHT_015874.jpg
1.04 MB
Extraction Summary
3
People
1
Organizations
1
Locations
0
Events
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Relationships
2
Quotes
Document Information
Type:
Book excerpt / discovery document
File Size:
1.04 MB
Summary
This document appears to be page 184 from a book titled 'Are the Androids Dreaming Yet?'. It contains a diagram and text explaining the mathematical paradox known as 'Hilbert's Hotel,' which illustrates the properties of infinite sets. The text addresses a question posed by a person named 'Dermot.' The document bears a Bates stamp 'HOUSE_OVERSIGHT_015874', indicating it was produced as part of a US House Oversight Committee investigation, likely related to materials found in the possession of a subject under investigation (contextually likely Jeffrey Epstein, given his known interest in science and mathematics, though he is not explicitly named on this page).
People (3)
| Name | Role | Context |
|---|---|---|
| Dermot | Subject of inquiry |
Mentioned in the text as having asked a question regarding the mathematical concept ('Dermot's question').
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| Hilbert | Mathematician (referenced) |
Referenced in the name of the paradox 'Hilbert's Hotel'.
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| Hotel Manager | Hypothetical Character |
Used in a thought experiment to explain infinite sets.
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Organizations (1)
| Name | Type | Context |
|---|---|---|
| House Oversight Committee |
Implied by the Bates stamp 'HOUSE_OVERSIGHT' at the bottom of the page.
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Locations (1)
| Location | Context |
|---|---|
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A theoretical mathematical location used to explain the concept of infinity.
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Full Extracted Text
Complete text extracted from the document (1,368 characters)
184
Are the Androids Dreaming Yet?
Are the Androids Dreaming Yet?
[Diagram of seven outline figures in a line holding vertical lines/spears, with a blue arrow pointing right at the bottom labeled with an infinity symbol ∞]
Hunter with Spears
Provided there are an infinite number of hunters there is always someone to hand the spear to and the person at the front of the line now has space for another spear.
You can probably see how to answer Dermot’s question. The hotel manager calls the guest in the first room and asks him to move 3 rooms up rather than one. He then calls the remaining guests and tells them the same thing. Thus, he has managed to fit three more people into the infinite hotel. Infinity plus 3 is infinity. You may worry that it takes the manager an infinite time to call all the rooms, but it’s OK; he lives infinitely long so it all works out.
What about fitting an infinite number of new guests into the already full hotel? Surely then we will get stuck.
No, Hilbert’s Hotel can fit an infinite number of extra guests. Here’s the trick: ask all the people currently in the hotel to move to the room with double the number they are currently in – 1 goes to 2, 2 goes to 4, 3 goes to 6, and so on. Now all the odd numbers are empty and you can fit an infinite number of people into the empty odd rooms. Infinity plus infinity is infinity. Voila.
HOUSE_OVERSIGHT_015874
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