HOUSE_OVERSIGHT_015886.jpg
1.39 MB
Extraction Summary
4
People
4
Organizations
1
Locations
2
Events
2
Relationships
3
Quotes
Document Information
Type:
Book excerpt / evidence file
File Size:
1.39 MB
Summary
This document is page 196 from a book titled 'Are the Androids Dreaming Yet?', stamped with a House Oversight Bates number (HOUSE_OVERSIGHT_015886). The text discusses the history of mathematics, specifically focusing on Russell and Whitehead's 'Principia Mathematica' (including an Amazon listing screenshot) and David Hilbert's famous 1900 lecture in Paris outlining unsolved mathematical problems. It touches on the 'Decision Problem' and the Clay Institute's Millennium Prizes. While part of an investigation file, the page itself contains historical narrative text and does not explicitly mention Epstein or his associates.
People (4)
| Name | Role | Context |
|---|---|---|
| Alfred North Whitehead | Author/Mathematician |
Co-author of Principia Mathematica, mentioned in historical context regarding mathematical rules.
|
| Bertrand Russell | Author/Mathematician |
Co-author of Principia Mathematica, mentioned in historical context.
|
| David Hilbert | Mathematician |
Delivered annual lecture at International Congress of Mathematicians in 1900; proposed Hilbert's Problems.
|
| Unknown Author | Narrator |
First-person narrator ('I need to define mathematics properly') of the book from which this page is taken.
|
Organizations (4)
| Name | Type | Context |
|---|---|---|
| International Congress of Mathematicians |
Host of the 1900 lecture by Hilbert in Paris.
|
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| Clay Institute |
Created the Millennium Prizes at the turn of the 21st century.
|
|
| Amazon |
Source of the screenshot listing for Principia Mathematica.
|
|
| House Oversight Committee |
Source of the document via the footer stamp.
|
Timeline (2 events)
1900
International Congress of Mathematicians where David Hilbert delivered his lecture on unsolved problems.
Paris
1928
Hilbert clarified the 2nd and 10th problems regarding consistency, completeness, and decidability.
Unknown
Locations (1)
| Location | Context |
|---|---|
|
Location of the International Congress of Mathematicians in 1900.
|
Relationships (2)
Russell and Whitehead's Principia Mathematica
He asked a mathematician friend what subject he should pick for the talk
Key Quotes (3)
"When mathematicians use the letters 'PM', they are usually referring to Russell and Whitehead's Principia Mathematica rather than the afternoon."Source
HOUSE_OVERSIGHT_015886.jpg
Quote #1
"Hilbert's Problems were simply an intellectual challenge. He offered no prizes."Source
HOUSE_OVERSIGHT_015886.jpg
Quote #2
"Can you mechanically decide any mathematical question without doubt? To explain Hilbert's Problems, I need to define mathematics properly."Source
HOUSE_OVERSIGHT_015886.jpg
Quote #3
Full Extracted Text
Complete text extracted from the document (2,336 characters)
196 Are the Androids Dreaming Yet?
Look inside
Principia Mathematica 3 Volume Set (v. 1-3) Hardcover - January 2, 1927
by Alfred North Whitehead (Author), Bertrand Russell (Author)
★★★★☆ 6 customer reviews
ISBN-13: 978-0521067911 ISBN-10: 052106791X Edition: 2nd
Principia Mathematica 3 Volume Set (v. 1-3) Hardcover - January 2, 1927
by Alfred North Whitehead (Author), Bertrand Russell (Author)
★★★★☆ 6 customer reviews
ISBN-13: 978-0521067911 ISBN-10: 052106791X Edition: 2nd
4 New from $1,119.91 3 Used from $499.99 1 Collectible from $1,400.00
Hardcover
Unknown Binding
Unknown Binding
Amazon Listing for Principia Mathematica
are undervalued. When mathematicians use the letters 'PM', they are usually referring to Russell and Whitehead's Principia Mathematica rather than the afternoon.
Hilbert's Problems
In 1900, while Russell and Whitehead were in full flow writing out their rules, David Hilbert was invited to deliver the annual lecture at the International Congress of Mathematicians in Paris. He asked a mathematician friend what subject he should pick for the talk and, in a moment of inspiration, the friend suggested laying out a vision for the future of mathematics. Rather than tell people how wonderful mathematicians were, and why their discipline was the pinnacle of human scientific endeavor, why not try modesty and list all the problems on which they were stumped? Hilbert liked the idea and devoted his talk to all the problems he thought mathematicians would solve in the 20th century. Hilbert's Problems were simply an intellectual challenge. He offered no prizes. At the turn of the 21st century, the Clay Institute created the Millennium Prizes for solving the most important modern mathematical problems. Each solution wins a prize of a million dollars!
In 1900, while Russell and Whitehead were in full flow writing out their rules, David Hilbert was invited to deliver the annual lecture at the International Congress of Mathematicians in Paris. He asked a mathematician friend what subject he should pick for the talk and, in a moment of inspiration, the friend suggested laying out a vision for the future of mathematics. Rather than tell people how wonderful mathematicians were, and why their discipline was the pinnacle of human scientific endeavor, why not try modesty and list all the problems on which they were stumped? Hilbert liked the idea and devoted his talk to all the problems he thought mathematicians would solve in the 20th century. Hilbert's Problems were simply an intellectual challenge. He offered no prizes. At the turn of the 21st century, the Clay Institute created the Millennium Prizes for solving the most important modern mathematical problems. Each solution wins a prize of a million dollars!
There are 23 numbered Hilbert Problems in all: ten in the original lecture and a further 13 in the written transcript. In 1928, he clarified the 2nd and 10th problems, refining them into three distinct questions: Is mathematics consistent, complete and decidable? Ironically this means that Hilbert's 23 problems actually number 24! The most important Hilbert questions where these last three. They ask whether Russell and Whitehead would be successful - can you write out all the rules of mathematics and then simply calculate the answer to any problem or derive any proof. This is known as the Decision Problem. Can you mechanically decide any mathematical question without doubt? To explain Hilbert's Problems, I need to define mathematics properly.
HOUSE_OVERSIGHT_015886
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