| --- |
| title: "House Oversight: Estate Documents (Nov 12) (HOUSE_OVERSIGHT_015846)" |
| source: "House Oversight: Estate Documents (Nov 12)" |
| sourceUrl: "https://www.justice.gov/epstein" |
| date: "2026-01-01" |
| category: "House Oversight" |
| eftaNumber: "HOUSE_OVERSIGHT_015846" |
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| parseTier: "external-legacy" |
| engine: "engine undisclosed (ep-nov-12.greg.technology mirror)" |
| externalSource: "greg-ep-nov-12" |
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| externalUrl: "https://ep-nov-12.greg.technology" |
| --- |
| |
| 156 |
| Are the Androids Dreaming Yet? |
| It is the barber paradox with the word 'set' substituted for 'barber' |
| and 'contains' rather than 'shave. But it's essentially the same logical |
| problem. You might find this rather contrived but mathematicians must |
| have a system totally free from paradox, otherwise there is no certainty. |
| Frege's system was holed below the water line. |
| Eventually, after much further work, a theory of sets was worked out |
| that does not contain the Russell Paradox. It's called Zermelo-Frankel |
| set theory, or ZF for short. It solves the Frege problem by forbidding sets |
| to refer to themselves. It's a bit like Microsoft Excel's solution to dividing |
| something by zero. It is simply forbidden and generates an error message. |
| Set theory was fixed and is now the basis of most mathematical thinking. |
| What is Logic for? |
| Logic is the foundation of mathematics. Applying it enables us to make |
| irrefutable statements about things: numbers, lines, planes, equations |
| and the so on - the things you learned at school - and to prove statements |
| about these things beyond any doubt. This is not the 'reasonable doubt' |
| hurdle of our law courts, but an absolute measure: No possible doubt |
| whatever. |
| Let's look at one of the earliest mathematical proofs: Euclid's proof |
| there are an infinite number of prime numbers. Euclid created this proof |
| in ancient Greece around 300Bc - so far back that logic was in its infancy |
| ЗонЕсіс |
| jeeporteps |
| RILEPIER |
| 27 LO |
| 16.1019 |
| повто, ченя |
| остратилов 11 |
| Euclid's Elements 100AD |
| HOUSE_OVERSIGHT_015846 |
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