HOUSE_OVERSIGHT_015894.jpg
1.6 MB
Extraction Summary
2
People
1
Organizations
0
Locations
1
Events
1
Relationships
4
Quotes
Document Information
Type:
Book excerpt / evidence document
File Size:
1.6 MB
Summary
This document appears to be page 204 from a book titled 'Are the Androids Dreaming Yet?', which has been included in a House Oversight Committee investigation (Bates stamp HOUSE_OVERSIGHT_015894). The text is a philosophical and mathematical discussion regarding Gödel's Incompleteness Theorems, the liar's paradox, and the concept of inconsistency in mathematical models. It details David Hilbert's angry reaction to Gödel's work and discusses the implications of these theorems on human creativity and knowledge discovery.
People (2)
| Name | Role | Context |
|---|---|---|
| Kurt Gödel | Mathematician |
Subject of the text; his incompleteness theorems are discussed.
|
| David Hilbert | Mathematician |
His reaction (anger) to Gödel's proof and subsequent abandonment of formalism is described.
|
Organizations (1)
| Name | Type | Context |
|---|---|---|
| House Oversight Committee |
Inferred from the Bates stamp 'HOUSE_OVERSIGHT' at the bottom of the page.
|
Timeline (1 events)
Historical (Post-Gödel's proof)
Hilbert's reaction to Gödel's proof where he stopped working on formalism.
Unknown
Relationships (1)
Hilbert reacted with anger to Gödel's proof which disproved Hilbert's 30 years of work on mathematical completeness.
Key Quotes (4)
"“This proof number is not a proof of the truth of this theorem number.”"Source
HOUSE_OVERSIGHT_015894.jpg
Quote #1
"“Within any formal system of mathematics there can be statements that are true but are not provable using only the rules of that system.”"Source
HOUSE_OVERSIGHT_015894.jpg
Quote #2
"When Hilbert heard of Gödel’s proof, his first reaction was anger."Source
HOUSE_OVERSIGHT_015894.jpg
Quote #3
"The repercussions of Gödel’s theory have more to do with understanding our place in the Universe and the nature of knowledge discovery."Source
HOUSE_OVERSIGHT_015894.jpg
Quote #4
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