HOUSE_OVERSIGHT_015911.jpg

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Extraction Summary

5
People
2
Organizations
3
Locations
1
Events
1
Relationships
3
Quotes

Document Information

Type: Book excerpt / evidence document
File Size: 1.19 MB
Summary

This document appears to be a page from a biography or history book discussing Alan Turing's development of the theoretical 'Turing Machine' in the mid-1930s. It details his inspiration derived from Gödel's incompleteness theorems and his visualization of a machine using paper tape to compute mathematical problems. The page bears the Bates stamp 'HOUSE_OVERSIGHT_015911', indicating it was included in a document production by the House Oversight Committee.

People (5)

Name Role Context
Alan Turing Subject
Mathematician who envisioned the machine
Max Newman Lecturer
Gave lecture at Cambridge University regarding Gödel's proof
Kurt Gödel Mathematician
Author of a proof showing mathematics was incomplete
David Hilbert Mathematician
Referenced via 'Hilbert problems'
Georg Cantor Mathematician
Referenced via 'Cantor's theorem'

Organizations (2)

Name Type Context
Cambridge University
Location of lecture attended by Turing
House Oversight Committee
Implied by Bates stamp 'HOUSE_OVERSIGHT'

Timeline (1 events)

1935-1936
Turing contemplating the decidability of mathematics and envisioning the Turing machine.
Cambridge/Grantchester

Locations (3)

Location Context
Academic setting
Location near where Turing had his inspiration
Cambridge countryside
Where Turing was cycling

Relationships (1)

Alan Turing Student/Lecturer Max Newman
Turing probably learned of the Entscheidungsproblem in a lecture given at Cambridge University by Max Newman.

Key Quotes (3)

"The machine was entirely imaginary but made as if from mechanical parts common in the 1930s."
Source
HOUSE_OVERSIGHT_015911.jpg
Quote #1
"Is mathematics intuitive, or could a machine decide mathematical questions automatically?"
Source
HOUSE_OVERSIGHT_015911.jpg
Quote #2
"If you are worried that a tape is less powerful than a sheet of paper remember Cantor’s theorem: an infinite plane is the same as an infinite line."
Source
HOUSE_OVERSIGHT_015911.jpg
Quote #3

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