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Extraction Summary
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Quotes
Document Information
Type:
Exerpt/page from a book or academic paper (evidence file)
File Size:
715 KB
Summary
This document appears to be a single page from a book or scientific essay included in a House Oversight Committee investigation file (likely related to Jeffrey Epstein's scientific interests or funding). The text discusses the computational impossibility of randomly generating complex mathematical proofs (specifically referencing Wiles' proof of Fermat's Last Theorem) using the 'infinite monkey' theorem or brute force algorithms, citing the limitations of the Universe's physical constraints (Plank interval).
Organizations (1)
| Name | Type | Context |
|---|---|---|
| House Oversight Committee |
Indicated by the footer stamp 'HOUSE_OVERSIGHT'.
|
Key Quotes (3)
"Currently, a computer using every particle in the Universe clocked at the Plank interval – the fastest conceivable computer running at 10³⁴ operations per second – would take 10⁵⁰⁰ times the age of the known Universe to do this."Source
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Quote #1
"If someone tells you this is astronomically unlikely they are making a huge understatement."Source
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Quote #2
"If an algorithm stumbled upon a proof of Fermat’s Last Theorem, what would recognize it as such?"Source
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Quote #3
Full Extracted Text
Complete text extracted from the document (922 characters)
not to be, certain of finding the proof, you would need to run a computer long enough to calculate all the possible proofs up to the length of Wiles’ solution. Currently, a computer using every particle in the Universe clocked at the Plank interval – the fastest conceivable computer running at 10³⁴ operations per second – would take 10⁵⁰⁰ times the age of the known Universe to do this. If someone tells you this is astronomically unlikely they are making a huge understatement. A computer running until the end-of-time would only scratch the surface.
The second flaw is even more damning. Even if the monkeys succeeded in generating something interesting, something else needs to spot this. If an algorithm stumbled upon a proof of Fermat’s Last Theorem, what would recognize it as such? There are no ways to systematically analyze proofs. There are no mechanical methods that understand these.
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