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‘Ahead of his time’: AI helps unlock discoveries hidden in notebooks of man who transformed maths
المصدر: World news | The Guardian · نُشر

Kurt Gödel left 1,009 pages of densely written text – much of it in an obsolete shorthand – which is now said to contain hundreds of proved theorems The Austrian logician Kurt Gödel was one of the most original thinkers of the 20th century. His two incompleteness theorems, publis
Kurt Gödel left 1,009 pages of densely written text – much of it in an obsolete shorthand – which is now said to contain hundreds of proved theorems The Austrian logician Kurt Gödel was one of the most original thinkers of the 20th century. His two incompleteness theorems, published in 1931, transformed mathematics and paved the way for the digital age. After his seminal results of the 1930s, Gödel published only a few papers.
His unpublished work, however, runs to tens of thousands of pages, and is of great interest to historians of science. Continue reading...
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You can see everything on this list: the 20 most jaw-dropping documentaries – ranked!
Ahead of the UK release of Nathan Fielder’s hotly anticipated Elizabeth Holmes film, we count down the most shocking and affecting true stories ever committed to cinema A 50-second dispatch from daily life blew the whistle on the approaching juggernaut of cinema and its unbeatabl
Culture | The Guardian ·

US air force responds to suspected drone activity at RAF Lakenheath
No personnel, aircraft or infrastructure at Suffolk site affected, says US military The US air force has said it responded to “suspected unauthorised drone activity” on Friday night at an airbase in the east of England. No personnel, aircraft or infrastructure were affected, the
World news | The Guardian ·

UK-EU deal will ‘dissolve’ £60m a year of costs for plant trade, says Angela Eagle
Signing of agreement to smooth movement of food, plants and animals next week will not recoup huge sums firms were forced to spend The removal of border checks and paperwork on plant imports will “dissolve” £60m of annual costs for the horticulture industry when the UK and EU’s n
World news | The Guardian ·

Right to make green challenges to planning decisions under threat, say UK lawyers
Exclusive: Government in ‘private meetings’ about removing cost cap protections under Aarhus convention UK politics live – latest updates The government is considering stripping back legal protections that limit the costs community groups face when challenging planning decisions
World news | The Guardian ·

The dark side of reselling apps: ‘If you include your pants, I’ll pay more’
Ministers consider banning under-16s from platforms amid reported misuse of messaging functions and users’ photos In June, Hannah* listed her seven-year-old daughter’s pink swimming costume for sale on Vinted, hoping other parents surfing the reselling site would snap up the £1 o
World news | The Guardian ·